Journal articles: 'Analysis of Motion Trajectories'

1

Song, Huan-Sheng, Sheng-Nan Lu, Xiang Ma, Yuan Yang, Xue-Qin Liu, and Peng Zhang. "Vehicle Behavior Analysis Using Target Motion Trajectories." IEEE Transactions on Vehicular Technology 63, no. 8 (October 2014): 3580–91. http://dx.doi.org/10.1109/tvt.2014.2307958.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Curiac, Daniel-Ioan, and Constantin Volosencu. "A generic method to construct new customized-shaped haotic systems using the relative motion concept." Nonlinear Analysis: Modelling and Control 21, no. 3 (May 20, 2016): 413–23. http://dx.doi.org/10.15388/na.2016.3.8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Constructing chaotic systems tailored for each particular real-world application has been a long-term research desideratum. We report a solution for this problem based on the concept of relative motion. We investigate the periodic motion on a closed contour of a coordinate frame in which a chaotic system evolves. By combining these two motions (periodic on a close contour and chaotic) new customized shape trajectories are acquired. We demonstrate that these trajectories obtained in the stationary frame are also chaotic and, moreover, conserve the Lyapunov exponents of the initial chaotic system. Based on this finding we developed an innovative method to construct new chaotic systems with customized shapes, thus fulfilling the requirements of any particular application of chaos.

3

Dong, Ran, and Soichiro Ikuno. "Biomechanical Analysis of Golf Swing Motion Using Hilbert–Huang Transform." Sensors 23, no. 15 (July 26, 2023): 6698. http://dx.doi.org/10.3390/s23156698.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

In golf swing analysis, high-speed cameras and Trackman devices are traditionally used to collect data about the club, ball, and putt. However, these tools are costly and often inaccessible to golfers. This research proposes an alternative solution, employing an affordable inertial motion capture system to record golf swing movements accurately. The focus is discerning the differences between motions producing straight and slice trajectories. Commonly, the opening motion of the body’s left half and the head-up motion are associated with a slice trajectory. We employ the Hilbert–Huang transform (HHT) to examine these motions in detail to conduct a biomechanical analysis. The gathered data are then processed through HHT, calculating their instantaneous frequency and amplitude. The research found discernible differences between straight and slice trajectories in the golf swing’s moment of impact within the instantaneous frequency domain. An average golfer, a single handicapper, and three beginner golfers were selected as the subjects in this study and analyzed using the proposed method, respectively. For the average golfer, the head and the left leg amplitudes of the swing motions increase at the moment of impact of the swings, resulting in the slice trajectory. These results indicate that an opening of the legs and head-up movements have been detected and extracted as non-linear frequency components, reviewing the biomechanical meaning in slice trajectory motion. For the single handicapper, the hip and left arm joints could be the target joints to detect the biomechanical motion that triggered the slice trajectory. For the beginners, since their golf swing forms were not finalized, the biomechanical motions regarding slice trajectory were different from each swing, indicating that beginner golfers need more practice to fix their golf swing form first. These results revealed that our proposed framework applied to different golf levels and could help golfers to improve their golf swing skills to achieve straight trajectories.

4

Carroll, Mary, Katja Weimar, Monique Flecken, Monique Lambert, and Christiane von Stutterheim. "Tracing trajectories." Language, Interaction and Acquisition 3, no. 2 (December 19, 2012): 202–30. http://dx.doi.org/10.1075/lia.3.2.03car.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Although the typological contrast between Romance and Germanic languages as verb-framed versus satellite-framed (Talmy 1985) forms the background for many empirical studies on L2 acquisition, the inconclusive picture to date calls for more differentiated, fine-grained analyses. The present study goes beyond explanations based on this typological contrast and takes into account the sources from which spatial concepts are mainly derived in order to shape the trajectory traced by the entity in motion when moving through space: the entity in V-languages versus features of the ground in S-languages. It investigates why advanced French learners of English and German have difficulty acquiring the use of spatial concepts typical of the L2s to shape the trajectory, although relevant concepts can be expressed in their L1. The analysis compares motion event descriptions, based on the same sets of video clips, of L1 speakers of the three languages to L1 French-L2 English and L1 French-L2 German speakers, showing that the learners do not fully acquire the use of L2-specific spatial concepts. We argue that encoded concepts derived from the entity in motion vs. the ground lead to a focus on different aspects of motion events, in accordance with their compatibility with these sources, and are difficult to restructure in L2 acquisition.

5

BENSON, NOAH C., and VALERIE DAGGETT. "WAVELET ANALYSIS OF PROTEIN MOTION." International Journal of Wavelets, Multiresolution and Information Processing 10, no. 04 (July 2012): 1250040. http://dx.doi.org/10.1142/s0219691312500403.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

As high-throughput molecular dynamics simulations of proteins become more common and the databases housing the results become larger and more prevalent, more sophisticated methods to quickly and accurately mine large numbers of trajectories for relevant information will have to be developed. One such method, which is only recently gaining popularity in molecular biology, is the continuous wavelet transform, which is especially well-suited for time course data such as molecular dynamics simulations. We describe techniques for the calculation and analysis of wavelet transforms of molecular dynamics trajectories in detail and present examples of how these techniques can be useful in data mining. We demonstrate that wavelets are sensitive to structural rearrangements in proteins and that they can be used to quickly detect physically relevant events. Finally, as an example of the use of this approach, we show how wavelet data mining has led to a novel hypothesis related to the mechanism of the protein γδ resolvase.

6

Xiang Ma, F. Bashir, A. A. Khokhar, and D. Schonfeld. "Event Analysis Based on Multiple Interactive Motion Trajectories." IEEE Transactions on Circuits and Systems for Video Technology 19, no. 3 (March 2009): 397–406. http://dx.doi.org/10.1109/tcsvt.2009.2013510.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Leem, Seung-min, Hyeon-seok Jeong, and Sung-young Kim. "Remote Drawing Technology Based on Motion Trajectories Analysis." Journal of Korea Institute of Information, Electronics, and Communication Technology 9, no. 2 (April 30, 2016): 229–36. http://dx.doi.org/10.17661/jkiiect.2016.9.2.229.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Marin, Mihnea, Petre Cristian Copilusi, and Ligia Rusu. "Experimental Approach Regarding the Analysis of Human Complex Motions." Applied Mechanics and Materials 823 (January 2016): 119–24. http://dx.doi.org/10.4028/www.scientific.net/amm.823.119.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

In this paper an experimental research was performed in case of a human complex motion. The research aim was to evaluate the joint trajectories and angular variations of the main human locomotion system. Thus an experimental motion analysis was performed, by using two modern equipments in parallel, one called VICON Equipment and the other called CONTEMPLAS. The experimental activity was developed on a human subject when perform a complex motion for hitting a ball. The obtained results will be useful for the improvement of the athletes’ complex motions on sports such as football in the way of conserving the energy or to reshape the foot behavior when strikes the ball.

9

Roth, Bernard. "Finding Geometric Invariants From Time-Based Invariants for Spherical and Spatial Motions." Journal of Mechanical Design 127, no. 2 (March 1, 2005): 227–31. http://dx.doi.org/10.1115/1.1828462.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

This paper shows how the instantaneous invariants for time-independent motions can be obtained from time-dependent motions. Relationships are derived between those parameters that define a time-dependent motion and the parameters that define its geometrically equivalent time-independent motion. The time-independent formulations have the advantage of being simpler than the time dependent ones, and thereby lead to more elegant and parsimonious descriptions of motions properties. The paper starts with a review of the choice of canonical coordinate systems and instantaneous invariants for time-based spherical and spatial motions. It then shows how to convert these descriptions to time-independent motions with the same geometric trajectories. New equations are given that allow the computation of the geometric invariants from time-based invariants. The paper concludes with a detailed example of the third-order motion analysis of the trajectories of an open, spatial R-R chain.

10

SHENGBO, LI, А. YU KORNEEV, WANG SICONG, and E. V. MISHCHENKO. "THE ANALYSIS OF THE TRAJECTORIES OF MOTION RIGID ROTOR IN THE CONICAL LIQUID FRICTION BEARINGS." Fundamental and Applied Problems of Engineering and Technology 6 (2020): 114–20. http://dx.doi.org/10.33979/2073-7408-2020-344-6-114-120.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

The calculation procedure of the trajectories of motion of the rigid rotor in the conical liquid friction bearings is offered. The equations set of motion is written for two-bearing rotor in the conical liquid friction bearings.The results are illustrated by the plots of trajectories for the conical bearings with oil lubricant.

11

Marin, Mihnea, Dorin Popescu, Ligia Rusu, and Petre Cristian Copilusi. "Human Upper Limb Experimental Analysis for Complex Motions Used in Robotics." Applied Mechanics and Materials 880 (March 2018): 136–41. http://dx.doi.org/10.4028/www.scientific.net/amm.880.136.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

In this paper an experimental research was performed in case of a human complex motion. The research aim was to evaluate the joint trajectories and angular variations of a human upper limb. Thus an experimental motion analysis was performed, by using a modern equipment called VICON Equipment and the interest joints are: shoulder, elbow and wrist. The experimental activity was developed on a human subject when perform a complex motion from baseball sport. The obtained results will be useful for the temporal recovery of the athletes’ complex motions after a severe injury or to reshape the upper arm behavior when strikes the ball in case of baseball athletes.

12

Crenshaw, H. C., C. N. Ciampaglio, and M. McHenry. "Analysis of the three-dimensional trajectories of organisms: estimates of velocity, curvature and torsion from positional information." Journal of Experimental Biology 203, no. 6 (March 15, 2000): 961–82. http://dx.doi.org/10.1242/jeb.203.6.961.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Most biological motions are three-dimensional. This includes the trajectories of whole organisms and of their appendages. While recordings of three-dimensional trajectories are sometimes published, quantitative analysis of these trajectories is uncommon, primarily because there are no standard techniques or conventions in biology for the analysis of three-dimensional trajectories. This paper describes a new technique, finite helix fit (FHF), based on the geometry of three-dimensional curves, whereby a three-dimensional trajectory is completely described by its velocity, curvature and torsion. FHF estimates these parameters from discretely sampled points on a trajectory (i.e. from positional data such as x,y,z coordinates). Other measures of motion can be derived from these parameters, such as the translational and rotational (or angular) velocities of an organism. The performance of the algorithms is demonstrated using simulated trajectories and trajectories of freely swimming organisms (a flagellate, Chlamydomonas reinhardtii; a ciliate, Paramecium tetraurelia; spermatozoa of a sea urchin, Arbacia punctulata; larvae of an ascidian, Botrylloides sp.).

13

Mukushev, Bazarbek. "Computer visualization of body motion in the constant gravitational field of the Earth." Recent Contributions to Physics 89, no. 2 (2024): 62–68. http://dx.doi.org/10.26577/rcph.2024v89i2-09.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

The paper analyzes computer visualization of the motion of a material point or body in a constant gravitational field. Using the MathCAD application program package, the trajectories of the body motion are constructed. Mechanical parameters of the obtained trajectories are analyzed by means of MathCAD package.A comparative analysis of physical parameters of trajectories obtained on the basis of qualitative analysis and by means of computer visualization has been carried out. Computer programs made with the help of MathCAD allowed to obtain the following results: the trajectories of thrown bodies at different angles to the horizon were drawn when their velocities were the same; the trajectories of motion of a thrown body at an angle to the horizon were found without taking into account air resistance and with taking into account viscosity of the medium; an animation of motion of a material point in two-dimensional space was created. At computer visualization a visual demonstration of internal interrelations of kinematic parameters of motion of a material point near the Earth was achieved. It is proved that the trajectories of body motion constructed with the help of computer visualization can be a method of rechecking the solution and answer of the problem on kinematics. Results of simulation modeling and regularities of body motion in two-dimensional space are presented.

14

WU, WEN-LAN, JIA-HROUNG WU, HWAI-TING LIN, and GWO-JAW WANG. "BIOMECHANICAL ANALYSIS OF THE STANDING LONG JUMP." Biomedical Engineering: Applications, Basis and Communications 15, no. 05 (October 25, 2003): 186–92. http://dx.doi.org/10.4015/s1016237203000286.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

The purposes of the present study were to (1) investigate the effects of the arm movement and initial knee joint angle employed in standing long jump by the ground reaction force analysis and three-dimensional motion analysis; and (2) investigate how the jump performance of the female gender related to the body configuration. Thirty-four healthy adult females performed standing long jump on a force platform with full effort. Body segment and joint angles were analyzed by three-dimensional motion analysis system. Using kinetic and kinematic data, the trajectories on mass center of body, knee joint angle, magnitude of peak takeoff force, and impulse generation in preparing phase were calculated. Average standing long jump performances with free arm motion were +1.5 times above performance with restricted arm motion in both knee initial angles. The performances with knee 90° initial flexion were +1.2 times above performance with knee 45° initial flexion in free and restricted arm motions. Judging by trajectories of the center mass of body (COM), free arm motion improves jump distance by anterior displacement of the COM in starting position. The takeoff velocity with 90° knee initial angle was as much as 11% higher than in with 45° knee initial angle. However, the takeoff angles on the COM trajectory showed no significant differences between each other. It was found that starting jump from 90° bend knee relatively extended the time that the force is applied by the leg muscles. To compare the body configurations and the jumping scores, there were no significant correlations between jump scores and anthropometry data. The greater muscle mass or longer leg did not correlated well with the superior jumping performance.

15

Mohamed, Mohamed Gomaa, and Nicolas Saunier. "Behavior Analysis Using a Multilevel Motion Pattern Learning Framework." Transportation Research Record: Journal of the Transportation Research Board 2528, no. 1 (January 2015): 116–27. http://dx.doi.org/10.3141/2528-13.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

The increasing availability of video data, through existing traffic cameras or dedicated field data collection, and the development of computer vision techniques pave the way for the collection of massive data sets about the microscopic behavior of road users. Analysis of such data sets helps in understanding normal road user behavior and can be used for realistic prediction of motion and computation of surrogate safety indicators. A multilevel motion pattern learning framework was developed to enable automated scene interpretation, anomalous behavior detection, and surrogate safety analysis. First, points of interest (POIs) were learned on the basis of the Gaussian mixture model and the expectation maximization algorithm and then used to form activity paths (APs). Second, motion patterns, represented by trajectory prototypes, were learned from road users' trajectories in each AP by using a two-stage trajectory clustering method based on spatial then temporal (speed) information. Finally, motion prediction relied on matching at each instant partial trajectories to the learned prototypes to evaluate potential for collision by using computing indicators. An intersection case study demonstrates the framework's ability in many ways: it helps reduce the computation cost up to 90%; it cleans the trajectory data set from tracking outliers; it uses actual trajectories as prototypes without any pre- and postprocessing; and it predicts future motion realistically to compute surrogate safety indicators.

16

JANG, IK GYU, KYOUNG WON NAM, HONG SEONG PARK, YUNG HO JO, HYUN GUY KANG, JEONG YUN PARK, and KWANG GI KIM. "GAIT SYMMETRY ANALYSIS PROTOCOL FOR WHOLE LEG MOVEMENT SYMMETRY EVALUATION." Journal of Mechanics in Medicine and Biology 12, no. 04 (September 2012): 1250073. http://dx.doi.org/10.1142/s0219519412005010.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Objective and accurate evaluation of patients who underwent lower limb operation is important in determining a proper rehabilitation process according to the patient's recovery status. Gait symmetry analysis is a common protocol that is used to evaluate lower limb function; however, most studies have focused only on the terminal symmetry of lower limb during gait motion and were unable to provide information about detailed motions of the whole leg. To more accurately analyze mutual symmetry of the left and right leg during gait motion, measurement of motions of the whole left and right leg including the pelvis, hip, knee, and ankle is required. Eight patients (mean [standard deviation]: age = 22.87 [6.05] years; height = 167.81 [5.86] cm; weight = 629.52 [133.63] Newtons) who underwent limbsalvage surgery and eight normal volunteers (age = 28.87 [3.79] years; height = 167 [8.36] cm; weight = 657.46 [157.02] Newtons) participated in this study. Using motion capture cameras arranged around each subject, real-time gait motion of each participant was recorded and moving trajectories of 12 submotion elements were extracted. Mutual symmetry of the motion between the left and right leg was then calculated using a Pearson correlation method, while a nonparametric Mann-Whitney test was performed for group comparison. Experimental results showed that the moving trajectories of the left and right leg were similar in the normal group (r = 0.8114[0.22]) but were critically different in the patient group (r = 0.624286[0.15]). In addition, there was statistically significant difference (p = 0.0162) in gait symmetry between the normal group and the patient group (95% confidence level). We conclude that the proposed protocol can provide a useful evaluation tool for patient recovery condition and that it could be helpful in establishing an effective postoperative treatment protocol for lower limb patients.

17

Jain, Dharmendra, and Satish C. Sharma. "Dynamic analysis of a 2-lobe geometrically imperfect journal bearing system." Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 231, no. 7 (December 9, 2016): 934–50. http://dx.doi.org/10.1177/1350650116683087.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

The present study is concerned with the linear and nonlinear transient motion analysis of a 2-lobe geometrically imperfect hybrid journal bearing system compensated with constant flow valve restrictor. The trajectories of journal center motion for a geometrically imperfect rotating journal (barrel, bellmouth and undulation type journal) have been numerically simulated by solving the linear and nonlinear equations of motion of journal center using a fourth order Runga–Kutta method. The numerically computed results for the journal center trajectories indicate that the 2-lobe bearing [Formula: see text] is more stable with geometrically imperfect journal as compared to the circular bearing with imperfect journal.

18

Boryga, Marek, Paweł Kołodziej, Andrzej Graboś, and Krzysztof Gołacki. "Mapping Accuracy of Trajectories of Manipulator Motion." ITM Web of Conferences 21 (2018): 00009. http://dx.doi.org/10.1051/itmconf/20182100009.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

The paper presents the algorithm for trajectory planning and the analysis of motion accuracy of an anthropomorphic manipulator whose the end-effector moves over the rectilinear-arc path. The path consists of two rectilinear segments of intersecting directions coupled with the arc of a fixed radius. On these rectilinear segments, the end-effector acceleration is described by a polynomial of 7th-degree. The motion over the arc proceeds at a constant velocity. The dynamic analysis was carried out on the basis of Lagrange’s equations of the second order. Manipulator flexibility and damping were considered according to the Kelvin-Voigt model introducing spring-damping components into the drive system. The simulation test results were presented in the form of spatial courses of the pre-assigned and realized trajectories as well as time courses of trajectory end-effector mapping errors for three paths with different radii of the arc.

19

Papadopoulos, Konstantinos, Girum Demisse, Enjie Ghorbel, Michel Antunes, Djamila Aouada, and Björn Ottersten. "Localized Trajectories for 2D and 3D Action Recognition." Sensors 19, no. 16 (August 10, 2019): 3503. http://dx.doi.org/10.3390/s19163503.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

The Dense Trajectories concept is one of the most successful approaches in action recognition, suitable for scenarios involving a significant amount of motion. However, due to noise and background motion, many generated trajectories are irrelevant to the actual human activity and can potentially lead to performance degradation. In this paper, we propose Localized Trajectories as an improved version of Dense Trajectories where motion trajectories are clustered around human body joints provided by RGB-D cameras and then encoded by local Bag-of-Words. As a result, the Localized Trajectories concept provides an advanced discriminative representation of actions. Moreover, we generalize Localized Trajectories to 3D by using the depth modality. One of the main advantages of 3D Localized Trajectories is that they describe radial displacements that are perpendicular to the image plane. Extensive experiments and analysis were carried out on five different datasets.

20

Ghosal, Ashitava, and Bernard Roth. "Instantaneous Properties of Multi-Degrees-of-Freedom Motions—Point Trajectories." Journal of Mechanisms, Transmissions, and Automation in Design 109, no. 1 (March 1, 1987): 107–15. http://dx.doi.org/10.1115/1.3258773.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

A general framework is presented for the study of the properties of trajectories generated by points embedded in rigid bodies undergoing multi-degrees-of-freedom motions. Quantities are developed to characterize point trajectories generated by different mechanisms and to distinguish between different positions along the same trajectory. Point trajectories are classified into three types according to whether the number of degrees of freedom is less than, equal to, or greater than the dimension of the space in which the motion takes place. Local and global motion properties are developed for each of these three cases. A new way of using the redundant degrees of freedom in (redundant) mechanisms is presented. These analysis techniques are applied to two- and three-degrees-of-freedom mechanisms containing rotary and prismatic joints.

21

Anthony, Jacob, Chung-Hyun Goh, Alireza Yazdanshenas, and Yong Tai Wang. "Redesign of Leg Assembly and Implementation of Reinforcement Learning for a Multi-Purpose Rehabilitation Robotic Device (RoboREHAB)." Applied Sciences 14, no. 2 (January 6, 2024): 516. http://dx.doi.org/10.3390/app14020516.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Patients who are suffering from neuromuscular disorders or injuries that impair motor control need to undergo rehabilitation to regain mobility. Gait training is commonly prescribed to patients to regain muscle memory. Automated-walking training devices were created to aid this process; while these devices establish accurate ankle-path trajectories, the knee and hip movements are inaccurate. In this work, a redesign of the leg assembly in a multi-purpose rehabilitation robotic device (RoboREHAB) was explored to improve hip- and knee-movement accuracy by adding an extra link and rollers to the assembly. Motion analysis was employed to test feasibility, reinforcement learning was utilized to train the new leg assembly to walk, and the joint motions achieved with the redesign were compared to those achieved by motion-capture (mocap) data. As a key result, the motion analysis showed an improvement in the knee- and hip-path trajectories due to the added roller/joint segment. The redesigned leg assembly, under the reinforcement-learning policy, showed a 5% deviation from the motion-capture joint trajectories with a maximum deviation of 51.177 mm but maintained a similar profile to the mocap trajectory data. This is an improvement over the original two-segment design, which achieved a maximum deviation of 72.084 mm. These results in the knee- and hip-joint movements more closely reflect the mocap and motion-analysis results, validating the redesign and opening it up to further experimentation and technical improvement.

22

Das, T., and R. Mukherjee. "Dynamic Analysis of Rectilinear Motion of a Self-Propelling Disk With Unbalance Masses." Journal of Applied Mechanics 68, no. 1 (April 16, 2000): 58–66. http://dx.doi.org/10.1115/1.1344903.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

This paper investigates the dynamics of a rolling disk with three unbalance masses that can slide along radial spokes equispaced in angular orientation. The objective is to design trajectories for the masses that satisfy physical constraints and enable the disk to accelerate or move with constant velocity. The disk is designed to remain vertically upright and is constrained to move along a straight line. We design trajectories for constant acceleration, first using a static model, and then through detailed analysis using a dynamic model. The analysis based on the dynamic model considers two separate cases; one where the potential energy of the system is conserved, and the other where it continually varies. Whereas trajectories conserving potential energy are quite similar to those obtained from the static model, the variable potential energy trajectories are the most general. A number of observations related to the system center-of-mass are made with respect to both trajectories. Following the strategy for constant acceleration maneuvers, we give a simple approach to tracking an acceleration profile and provide some simulation results.

23

Martínez Carrillo, Fabio, Fabián Castillo, and Lola Bautista. "3D+T dense motion trajectories as kinematics primitives to recognize gestures on depth video sequences." Revista Politécnica 15, no. 29 (July 31, 2019): 82–94. http://dx.doi.org/10.33571/rpolitec.v15n29a7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

RGB-D sensors have allowed attacking many classical problems in computer vision such as segmentation, scene representations and human interaction, among many others. Regarding motion characterization, typical RGB-D strategies are limited to namely analyze global shape changes and capture scene flow fields to describe local motions in depth sequences. Nevertheless, such strategies only recover motion information among a couple of frames, limiting the analysis of coherent large displacements along time. This work presents a novel strategy to compute 3D+t dense and long motion trajectories as fundamental kinematic primitives to represent video sequences. Each motion trajectory models kinematic words primitives that together can describe complex gestures developed along videos. Such kinematic words were processed into a bag-of-kinematic-words framework to obtain an occurrence video descriptor. The novel video descriptor based on 3D+t motion trajectories achieved an average accuracy of 80% in a dataset of 5 gestures and 100 videos.

24

Coken, A. Ceylan, and Ismet Ayhan. "On the Geometry of the Movements of Particles in a Hamilton Space." Abstract and Applied Analysis 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/830147.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Schneider, Ralf, Lars Lewerentz, Karl Lüskow, Marc Marschall, and Stefan Kemnitz. "Statistical Analysis of Table-Tennis Ball Trajectories." Applied Sciences 8, no. 12 (December 12, 2018): 2595. http://dx.doi.org/10.3390/app8122595.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

In this work, the equations of motion for table-tennis balls were numerically solved on graphics processing units (GPUs) using Compute Unified Device Architecture (CUDA) for systematical statistical studies of the impact of ball size and weight, as well as of net height, on the distribution functions of successful strokes. Half a billion different initial conditions involving hitting location, initial spin, and velocities were analyzed to reach sufficient statistical significance for the different cases. In this paper, an advanced statistical analysis of the database generated by the simulation is presented.

26

Wu, Shuang, Hua Yang, Shibao Zheng, Hang Su, Yawen Fan, and Ming-Hsuan Yang. "Crowd Behavior Analysis via Curl and Divergence of Motion Trajectories." International Journal of Computer Vision 123, no. 3 (March 13, 2017): 499–519. http://dx.doi.org/10.1007/s11263-017-1005-y.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Zhang, Qiuchen, Zhen Yang, and Dazhi Sun. "Automated Data Collection and Safety Analysis at Intersections Based on a Novel Video Processing System." Transportation Research Record: Journal of the Transportation Research Board 2673, no. 4 (April 2019): 136–44. http://dx.doi.org/10.1177/0361198119838979.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

A novel video-based system is presented which collects trajectories and motion parameters of all objects at intersections. First, a modified ViBe method is used to extract the foreground of moving objects. Then, an object-point-contour matching approach is developed for pairing, tracking, and generating trajectories. Finally, raw trajectories are corrected through post-processing and motion parameters are estimated after object classification. This system demonstrates better performance while tracking tardy and shadowed objects compared with previous studies. The accuracies of 86% and 91% are obtained for traffic counts and velocity validation, respectively. This paper also presents a sample safety analysis using traffic conflict technology to demonstrate the possible implementation for traffic management and safety analysis.

28

KORNEEV, А. YU, A. V. SYTIN, and E. V. MISHCHENKO. "THE ANALYSIS OF THE TRAJECTORIES OF MOTION OF HIGH–SPEED ROTOR IN THE CONICAL LIQUID FRICTION BEARINGS WITH MULTI–LAYER STEEL DAMPERS." Fundamental and Applied Problems of Engineering and Technology, no. 6 (2021): 96–105. http://dx.doi.org/10.33979/2073-7408-2021-350-6-96-105.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

The calculation procedure of the trajectories of motion of high–speed rotor in the conical liquid friction bearings with multi–layer steel dampers is offered. The equations set of motion is written for two–bearing rotor in the conical liquid friction bearings with multi–layer steel dampers. The results are illustrated by the plots of trajectories for the conical bearings with oil lubricant.

29

Stanislavsky, Aleksander A., and Aleksander Weron. "Fractional Lévy Stable Motion from a Segmentation Perspective." Fractal and Fractional 8, no. 6 (June 4, 2024): 336. http://dx.doi.org/10.3390/fractalfract8060336.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

The segmentation analysis of the Golding–Cox mRNA dataset clarifies the description of these trajectories as a Fractional Lévy Stable Motion (FLSM). The FLSM method has several important advantages. Using only a few parameters, it allows for the detection of jumps in segmented trajectories with non-Gaussian confined parts. The value of each parameter indicates the contribution of confined segments. Non-Gaussian features in mRNA trajectories are attributed to trajectory segmentation. Each segment can be in one of the following diffusion modes: free diffusion, confined motion, and immobility. When free diffusion segments alternate with confined or immobile segments, the mean square displacement of the segmented trajectory resembles subdiffusion. Confined segments have both Gaussian (normal) and non-Gaussian statistics. If random trajectories are estimated as FLSM, they can exhibit either subdiffusion or Lévy diffusion. This approach can be useful for analyzing empirical data with non-Gaussian behavior, and statistical classification of diffusion trajectories helps reveal anomalous dynamics.

30

Haney, Justin M., Tianke Wang, Clive D’Souza, Monica L. H. Jones, and Matthew P. Reed. "Modeling Hand Trajectories during Sequential Reach Movements in a Pulley Threading Task." Proceedings of the Human Factors and Ergonomics Society Annual Meeting 62, no. 1 (September 2018): 823–27. http://dx.doi.org/10.1177/1541931218621188.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Modeling of human motion is common in ergonomic analysis of industrial tasks and can help improve workplace design. We propose a method for modeling the trajectories of hand movements in the frontal plane during a sequential reach task that involves threading string through a system of pulleys. We model the motions as a combination of two consecutive phases, one where the hand is reaching between pulleys and another when the hand is engaged in threading a target pulley. Hand trajectories were modeled separately for each phase by fitting basis-splines to the observed data. Predicted trajectories were computed using task parameters as the input and compared to observed trajectories from the 12 participants who completed the study.

31

Talagrand, Michel. "Multiple points of trajectories of multiparameter fractional Brownian motion." Probability Theory and Related Fields 112, no. 4 (December 10, 1998): 545–63. http://dx.doi.org/10.1007/s004400050200.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Makarchuk, O., D. Calus, and V. Moroz. "MATHEMATICAL MODEL TO CALCULATE THE TRAJECTORIES OF ELECTROMAGNETIC MILL OPERATING ELEMENTS." Tekhnichna Elektrodynamika 2021, no. 2 (February 23, 2021): 26–34. http://dx.doi.org/10.15407/techned2021.02.026.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

The purpose of the research under consideration is to develop a mathematical model to calculate the trajectories of the ferromagnetic operating elements (millstones) of an electromagnetic mill, moving in a rotating magnetic field under electrodynamic and hydrodynamic resistance forces being limited by the space of the mill’s working chamber. The millstone motion is described through the equations of plane motion of arbitrary-shaped two-dimensional body. The driving forces of this motion are determined on the basis of the approximation of the tabulated functions connecting the module and the orientation of the equivalent force applied to the millstone, with its position in the working chamber and composite MMF phase of mill inductor winding. These tabulated functions are derived from the estimation of the magnetic field inside a working chamber with millstones, in two-dimensional quasi-stationary approximation, using FEM analysis. The publication contains the approximation algorithm for these tabulated vector functions of a vector argument, mathematical statement of millstones trajectories calculating, and analysis of mathematical experiments results that make it possible to evaluate the adequacy of the model. The developed tool enables conducting quantitative analysis of grinding/mixing process and will help to establish relationships between the electromagnetic mill design parameters and its performance. References 21, figures 6.

33

DAVIS, RUSSELL O., PAUL W. NISWANDER, and DAVID F. KATZ. "New Measures of Sperm Motion I. Adaptive Smoothing and Harmonic Analysis." Journal of Andrology 13, no. 2 (March 4, 1992): 139–52. http://dx.doi.org/10.1002/j.1939-4640.1992.tb01645.x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

ABSTRACT: Several kinematic measures from computer‐aided sperm analysis (CASA) instruments depend critically upon the computation of the spatially averaged path of a sperm's curvilinear swimming trajectory. Presently available instruments compute the average path by smoothing the curvilinear trajectory using a fixed‐length running average. We demonstrate that this method significantly distorts the spatially averaged path for irregularly swimming sperm, both within and between trajectories, resulting in inaccurate calculations for the velocity of the average path (VAP), amplitude of lateral head displacement (ALH), beat‐cross frequency (BCF), wobble of the curvilinear trajectory (WOB), and straightness of the curvilinear trajectory (STR). The authors introduce an alternative approach, based on engineering signal processing techniques, where the width of the running average is adapted to the changing wavelengths of the major spatial oscillations of each curvilinear trajectory. How this adaptive method results in less distortion of the average path and produces more accurate characterizations of the above measures is shown. This method is implemented in a computer program developed by the authors, called PathTool.* It is also demonstrated that the simple methods used to characterize the frequency and amplitude of the major oscillation in a sperm's curvilinear trajectory (ie, BCF and ALH) are only accurate for the most periodic, progressive, and symmetrical trajectories. Three new measures are introduced, based on mathematical harmonic analysis, that are more robust alternatives to the present methods. These new methods and measures are initially evaluated using prototypical sperm trajectories from human semen. Results suggest that adaptive smoothing and harmonic analysis produce more accurate estimates of the frequency and magnitude of oscillations in sperm trajectories than the method based on fixed‐length smoothing, BCF, and ALH.

34

Korendiy, Vitaliy, Oleh Parashchyn, Volodymyr Heletiy, Viacheslav Pasika, Volodymyr Gurey, and Nadiia Maherus. "Kinematic analysis and geometrical parameters justification of a planetary-type mechanism for actuating an inertial vibration exciter." Vibroengineering Procedia 52 (November 25, 2023): 35–41. http://dx.doi.org/10.21595/vp.2023.23728.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Vibration exciters are of most important units of any vibratory equipment defining its design peculiarities, operational features, functional purpose, and performance characteristics. Among a great variety of vibration exciters, the unbalanced rotors are of the most widely used. The present research considers the possibilities of providing specific motion trajectories of the vibratory machines’ working members with the help of the planetary-type vibration exciter. The methodology of this study is divided into two main stages: deriving motion equations of an unbalanced mass located on a planet gear and analyzing the possibilities of generating rectilinear, elliptical, and circular motion paths by choosing the appropriate geometrical parameters of the planetary gear train. The results of the performed kinematic analysis are presented in the form of the unbalanced mass trajectories, velocities, and accelerations at different design parameters of the planetary-type mechanism. The main scientific novelty of the present study is substantiating the possibilities of using the single-degree-of-freedom planetary-type mechanism for generating the controllable motion trajectories of the unbalanced mass of an inertial vibration exciter. The obtained results can be practically implemented while developing novel adjustable drives for various vibratory equipment, particularly compactors, sieves, screens, and conveyors.

35

Kimura, Margot, and Jeff Moehlis. "Novel Vehicular Trajectories for Collective Motion from Coupled Oscillator Steering Control." SIAM Journal on Applied Dynamical Systems 7, no. 4 (January 2008): 1191–212. http://dx.doi.org/10.1137/070704496.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Zhang, Chi, Xiao Guang Wu, and Shuang Li. "Analysis and Experiment of the Multi-Needles Trajectory in Magnetic Driven Model." Applied Mechanics and Materials 635-637 (September 2014): 1203–6. http://dx.doi.org/10.4028/www.scientific.net/amm.635-637.1203.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Based on the principle of needle selection for the traditional knitting jacquard, this paper puts forward a new needle driven mode by magnetic suspension. At the same time the paper obtain the optimal trajectory for a single needle of magnetic suspension drive mode on the basis of the traditional trajectory, and it also analyzes the trajectories of multi needles and obtains the trajectories diagram for eight needles of their periodic motion. It also designs the hardware circuit for the control system and set up the experiment platform to carry out experimental study. The experiment proves that the target trajectories in the control system are consistent with the measured trajectories.

37

Piątkowski, Tomasz. "Identification of the object motion trajectory in a digital image using the Kalman filter." Journal of Automation, Electronics and Electrical Engineering 5, no. 3 (February 4, 2024): 31–45. http://dx.doi.org/10.24136/jaeee.2023.009.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

The paper concerns identification of the object motion trajectories in a digital image. An image analysis procedure was used consisting of two methods: BLOB identification and Kalman filter. BLOB identification is the superior method, and the Kalman filter is an alternative one, used to determine the motion trajectories only in the event of incorrect BLOB identification. Data from the correct BLOB identification are used on an ongoing basis in the process of training the Kalman filter. In this way, the filter becomes a model of a physical object that allows predicting the future state based on the object's current behaviour. The use of two complementary image analysis methods allows to determine the motion trajectories of the object's characteristic points in conditions of uneven scene lighting. The effectiveness of the method was confirmed in experimental rests.

38

PLESSER, THEO, and KARL-HEINZ MÜLLER. "FOURIER ANALYSIS OF THE COMPLEX MOTION OF SPIRAL TIPS IN EXCITABLE MEDIA." International Journal of Bifurcation and Chaos 05, no. 04 (August 1995): 1071–84. http://dx.doi.org/10.1142/s0218127495000788.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

An analysis of spiral tip trajectories by complex Fast Fourier Transform (FFT) is presented. The trajectories are obtained from the numerical integration of partial differential equations describing the Oregonator model of an excitable medium. Their analysis shows: (1) There are regions in the (ε, f) parameter space of the model where for a given ε and increasing f up to four frequency branches appear. The frequencies of these branches determine the coarse structure and geometry of the pattern, i.e., the number and the size of their loops, and are called "structural" frequencies. Other frequencies of the spectra are related with the detailed shape of the loops. (2) The interplay of up to four structural frequencies generates regular trajectories of high complexity but no sign of chaos has been found. (3) The spiral wave outside the core region is independent of the complexity of the tip trajectory. It is solely determined by the structural Fourier component with frequency ν and amplitude r that has the highest circular speed c = 2πrν.

39

Zivanov, Jasenko, Takanori Nakane, and Sjors H. W. Scheres. "A Bayesian approach to beam-induced motion correction in cryo-EM single-particle analysis." IUCrJ 6, no. 1 (January 1, 2019): 5–17. http://dx.doi.org/10.1107/s205225251801463x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

A new method to estimate the trajectories of particle motion and the amount of cumulative beam damage in electron cryo-microscopy (cryo-EM) single-particle analysis is presented. The motion within the sample is modelled through the use of Gaussian process regression. This allows a prior likelihood that favours spatially and temporally smooth motion to be associated with each hypothetical set of particle trajectories without imposing hard constraints. This formulation enables the a posteriori likelihood of a set of particle trajectories to be expressed as a product of that prior likelihood and an observation likelihood given by the data, and this a posteriori likelihood to then be maximized. Since the smoothness prior requires three parameters that describe the statistics of the observed motion, an efficient stochastic method to estimate these parameters is also proposed. Finally, a practical algorithm is proposed that estimates the average amount of cumulative radiation damage as a function of radiation dose and spatial frequency, and then fits relative B factors to that damage in a robust way. The method is evaluated on three publicly available data sets, and its usefulness is illustrated by comparison with state-of-the-art methods and previously published results. The new method has been implemented as Bayesian polishing in RELION-3, where it replaces the existing particle-polishing method, as it outperforms the latter in all tests conducted.

40

Parman, Setyamartana, and Mahmud Iwan Solihin. "Self-motion behaviors of kinematically redundant manipulator for continuous path planning." Journal of Advanced Technology and Multidiscipline 1, no. 1 (May 31, 2022): 1–9. http://dx.doi.org/10.20473/jatm.v1i1.39600.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

This paper presents self-motion behaviors of 3-DOF planar robotic arm when it tracks a predefined end-effector path. In this case, the self-motion contributes to geometry of a motion envelope. The Bezier curve degree fifth is utilized as the tracked path. Different geometry of the motion envelope can be used to avoid collision while it also follows the tracked path accurately. A theta global as closed form solution of 3-DOF planar robot is modeled as a polynomial degree sixth. A Genetic Algorithm (GA) as one of meta-heuristic optimizations is used to find optimal solution of the path planning approach. An effect of initial and final joint angles in the robotic arm motion is also investigated. The theta global trajectories are also possible to contain an imaginary number. The imaginary number of the theta global trajectories can be used as a sign that position errors are present and the trajectories need to be repaired using the self-motion analysis.

41

Korabel, Nickolay, Daniel Han, Alessandro Taloni, Gianni Pagnini, Sergei Fedotov, Viki Allan, and Thomas Andrew Waigh. "Local Analysis of Heterogeneous Intracellular Transport: Slow and Fast Moving Endosomes." Entropy 23, no. 8 (July 27, 2021): 958. http://dx.doi.org/10.3390/e23080958.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Trajectories of endosomes inside living eukaryotic cells are highly heterogeneous in space and time and diffuse anomalously due to a combination of viscoelasticity, caging, aggregation and active transport. Some of the trajectories display switching between persistent and anti-persistent motion, while others jiggle around in one position for the whole measurement time. By splitting the ensemble of endosome trajectories into slow moving subdiffusive and fast moving superdiffusive endosomes, we analyzed them separately. The mean squared displacements and velocity auto-correlation functions confirm the effectiveness of the splitting methods. Applying the local analysis, we show that both ensembles are characterized by a spectrum of local anomalous exponents and local generalized diffusion coefficients. Slow and fast endosomes have exponential distributions of local anomalous exponents and power law distributions of generalized diffusion coefficients. This suggests that heterogeneous fractional Brownian motion is an appropriate model for both fast and slow moving endosomes. This article is part of a Special Issue entitled: “Recent Advances In Single-Particle Tracking: Experiment and Analysis” edited by Janusz Szwabiński and Aleksander Weron.

42

Contreras, Abraham Ortega, J. Juan Rosales García, Leonardo Martínez Jiménez, and Jorge Mario Cruz-Duarte. "Analysis of projectile motion in view of conformable derivative." Open Physics 16, no. 1 (October 16, 2018): 581–87. http://dx.doi.org/10.1515/phys-2018-0076.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Abstract This paper presents new solutions for twodimensional projectile motion in a free and resistive medium, obtained within the newly established conformable derivative. For free motion, we obtain analytical solutions and show that the trajectory, height, flight time, optimal angle, and maximum range depend on the order of the conformable derivative, 0 < γ ≤ 1. Likewise, we analyse and simulate the projectile motion in a resistive medium by assuming several scenarios. The obtained trajectories never exceed the ordinary ones, given by γ = 1, unlike results reported in other studies.

43

Wang, Guibin, Maile Zhou, Hao Sun, Zhaoxiang Wei, Herui Dong, Tingbo Xu, and Daqing Yin. "Mechanism Analysis and Optimization Design of Exoskeleton Robot with Non-Circular Gear–Pentabar Mechanism." Machines 12, no. 5 (May 19, 2024): 351. http://dx.doi.org/10.3390/machines12050351.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

To address the complex structure of existing rod mechanism exoskeleton robots and the difficulty in solving the motion trajectory of multi−rod mechanisms, an exoskeleton knee robot with a differential non−circular gear–pentarod mechanism is designed based on non−circular gears with arbitrary transmission ratios to constrain the degrees of freedom of the R-para-rod mechanism. In this study, the kinematic model of a non-circular gear–five−rod mechanism is established based on motion mapping theory by obtaining the normal motion positions of the human lower limb. An optimization design software for the non-circular gear–five−rod mechanism is developed using the MATLAB 2018b visualization platform, with the non−circular active gear as the sole input variable. A set of ideal parameters is obtained through parameter adjustment and optimal parameter selection, and the corresponding trajectories are compared with human trajectories. The three−dimensional model of the mechanism is established according to the obtained parameters, and the motion simulation of the non−circular gear–five−bar mechanism demonstrates that the mechanism can better reproduce the expected human knee joint motion posture, meeting the working requirements of an exoskeleton knee robot.

44

Yagubov, V. F., A. G. Strelkov, and A. N. Shapkin. "Analysis of the controlled curvilinear motion of high-speed tracked machinery." Traktory i sel hozmashiny 79, no. 4 (April 15, 2012): 18–21. http://dx.doi.org/10.17816/0321-4443-69359.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Curvilinear motion of a tracked vehicle with change in curvature of trajectory in magnitude and direction is considered. Through the analysis of differential equations of controlled motion, it is justified what parts of trajectories are the most dangerous under skidding. Inertial moments of a tracked vehicle corresponding to various configurations of trajectory were found using the distribution graphs of curvature of trajectory along the way.

45

Garriga-Casanovas, Arnau, and Ferdinando Rodriguez y Baena. "Complete follow-the-leader kinematics using concentric tube robots." International Journal of Robotics Research 37, no. 1 (December 28, 2017): 197–222. http://dx.doi.org/10.1177/0278364917746222.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Concentric tube robots offer the capability of follow-the-leader motion, which is desirable when navigating in cluttered environments, such as in minimally invasive surgery or in-situ inspections. The follow-the-leader capabilities identified in the existing literature, however, are limited to trajectories with piecewise constant-curvature segments or piecewise helical segments. A complete study of follow-the-leader kinematics is, therefore, relevant to determine the full potential of these robots, and clarify an open question. In this paper, a general analysis of follow-the-leader motion is presented, and a closed-form solution to the complete set of trajectories where follow-the-leader is possible under the assumption of no axial torsion of the tubes composing the robot is derived. For designs with constant-stiffness tubes, the precurvatures required are found to be either circumference arcs, helices, or deformed helices with exponentially varying curvature magnitude. The analysis developed also elucidates additional motions of interest, such as the combination of follow-the-leader motion in a robot segment with general maneuvers in another part. To determine the applicability of the assumption regarding the tubes’ torsion, the general equilibrium of the robot designs of interest is considered, and a closed-form solution to torsion in two-tube robots with helical precurvatures is derived. Criteria to select a desired torsional behavior are then extracted. This enables one to identify stable trajectories where follow-the-leader is possible, for potential application to minimally invasive surgery. An illustrative case study involving simulation and experiment is conceived using one of these trajectories, and the results are reported, showcasing the research.

46

Wang, Wei Fang, Peng Fei Gao, and Dong Hui Wen. "Theoretical Analysis and Uniformity of Trajectories in Lapping Process." Advanced Materials Research 102-104 (March 2010): 625–29. http://dx.doi.org/10.4028/www.scientific.net/amr.102-104.625.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

A new trajectory and uniformity was studied for single lapping process, kinematic theory analysis trajectories of the workpiece under the mode driven by swing motion. According to the theoretical analysis on lapping trajectory and simulated results, uniformity during swing driven lapping process is better than tranditional lapping process, angle rotation ratio between lapping plate and swing plate has great effect on lapping uniformity, when rotation speed of lapping plate is three times to that of swing plate, best uniformity could be gotten during lapping process.

47

Annunziato, Mario, and Alfio Borzì. "Fokker–Planck Analysis of Superresolution Microscopy Images." Mathematical and Computational Applications 28, no. 6 (December 14, 2023): 113. http://dx.doi.org/10.3390/mca28060113.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

A method for the analysis of super-resolution microscopy images is presented. This method is based on the analysis of stochastic trajectories of particles moving on the membrane of a cell with the assumption that this motion is determined by the properties of this membrane. Thus, the purpose of this method is to recover the structural properties of the membrane by solving an inverse problem governed by the Fokker–Planck equation related to the stochastic trajectories. Results of numerical experiments demonstrate the ability of the proposed method to reconstruct the potential of a cell membrane by using synthetic data similar those captured by super-resolution microscopy of luminescent activated proteins.

48

Mishura, Yuliya, and Kostiantyn Ralchenko. "Asymptotic Growth of Sample Paths of Tempered Fractional Brownian Motions, with Statistical Applications to Vasicek-Type Models." Fractal and Fractional 8, no. 2 (January 25, 2024): 79. http://dx.doi.org/10.3390/fractalfract8020079.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Tempered fractional Brownian motion (TFBM) and tempered fractional Brownian motion of the second kind (TFBMII) modify the power-law kernel in the moving average representation of fractional Brownian motion by introducing exponential tempering. We construct least-square estimators for the unknown drift parameters within Vasicek models that are driven by these processes. To demonstrate their strong consistency, we establish asymptotic bounds with probability 1 for the rate of growth of trajectories of tempered fractional processes.

49

Baltrėnas, Pranas, and Teresė Leonavičienė. "Modelling trajectories of solid particle motion in the cyclone." Engineering Computations 34, no. 6 (August 7, 2017): 1829–48. http://dx.doi.org/10.1108/ec-12-2015-0393.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Purpose This purpose of the paper is to examine the multi-channel cyclone created at the Vilnius Gediminas Technical University (VGTU) Research Institute of Environmental Protection. The paper aims to predict the possible trajectories of solid particle motion in the cyclone with reference to the mechanical forces only. Design/methodology/approach The numerical calculations were performed on the basis of experimental results. The system of differential equations describing particle motion in the cyclone is analysed and numerically solved using Runge–Kutta–Fehlberg method. Research consists of three examples that illustrate the impact of particle density and velocity on collection and analyses the particle motion trajectories in the first and second channels of the cyclone. Findings Numerical calculations were performed according to the data from Vilnius Gediminas Technical University Research Institute of Environmental Protection. The particulate matter of wood ash and granite were used. The collection of solid particles of different size was examined when the air inflow velocity varies from 10 to 20 m/s. The possible motion trajectories of the solid particles are defined and the parameters of collected particles have been discussed. Research limitations/implications The obtained results can be used for the analysis of air cleaning efficiency and particulate matter removal from air in a multi-channel cyclone. Practical implications The results lead us to improve the structure of the cyclone so as to effectively collect the solid particles of different size. Originality/value This paper presents the results obtained for the multi-channel cyclone created at the Vilnius Gediminas Technical University Research Institute of Environmental Protection.

50

Lee, C. M., K. H. Kang, and N. S. Cho. "Trapping of Leaked Oil With Tandem Oil Fences With Lagrangian Analysis of Oil Droplet Motion." Journal of Offshore Mechanics and Arctic Engineering 120, no. 1 (February 1, 1998): 50–55. http://dx.doi.org/10.1115/1.2829520.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

The effectiveness of two oil fences deployed in tandem to maximize the containment of oil is investigated. To assess the effectiveness of the tandem fences, the viscous flow field around the fences in tandem are analyzed numerically. Then, the trajectories of oil droplets which escaped beneath the fore fence are computed applying the Lagrangian particle-tracking method, to check under what conditions the droplet can be contained between the tandem fences. The validity of the calculated trajectories is checked experimentally by using spherical beads made of paraffin and droplets of kerosene, and the model fence of draft of 4 cm. The numerically predicted trajectories of the droplets show fairly good agreement with the experimental results. The method is applied to predict the motion of the weathered oil. It is shown, numerically, that most of the leaked oil can be trapped between tandem fences, when the distance between the fences is about 10 times the draft of the fore fence.

Journal articles on the topic 'Analysis of Motion Trajectories'

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles