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Journal articles on the topic 'Mathematics and motion pictures'

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Published: 27 July 2024
Last updated: 28 July 2024

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1

Tenze, L., S. Carrato, and G. Ramponi. "An alignment algorithm for old motion pictures." IEEE Signal Processing Letters 9, no. 10 (October 2002): 309–11. http://dx.doi.org/10.1109/lsp.2002.803410.

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2

Budak, Sirin, Nesrin Sahin, and Bulent Dogan. "Mathematics of Motion Using GeoGebra." Mathematics Teacher 111, no. 5 (March 2018): 382–84. http://dx.doi.org/10.5951/mathteacher.111.5.0382.

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In today's world, students are surrounded by computer games and animations. Teachers can take advantage of the appeal of such games by designing animations as tools to motivate students to understand the concepts of mathematics and science behind the scenarios or applications. When students realize how they can move an object on screen, they will want to understand the mathematical formulas involved in the dynamics of the situation. The dynamic mathematics software GeoGebra allows users to insert a picture into a file and manipulate that picture by changing its position on the screen.
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3

Vimal, Vrince. "Mixture of Gaussian Blur Kernel Representation for Blind Image Restoration." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 10, no. 1 (April 10, 2019): 589–95. http://dx.doi.org/10.17762/turcomat.v10i1.13553.

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The use of blind image restoration, sharpness of edges may frequently be restored using previous information from a picture. De-blurring is the technique of taking out blurring flaws of the steady photographs, including motion or defocus aberration-related blur. the appearance of fast-moving the appearance of fast-moving entities flashing in still images flashing in a still photograph is known as motion blur. When an image is blurred using a Gaussian function, the result is a Gaussian blur. The employment of different sparse priors, either for the implicit photos or the motion blur kernels, contributes to the success of contemporary single-image approaches. De-blurring is the technique of taking out blurring flaws of the steady photographs, including motion or defocus aberration-related blur. The apparent flashing of quickly moving item in a static photograph is known as motion blur. When a picture is blurred utilizing a Gaussian function, the result is a Gaussian blur. The employment of different sparse priors, either for the latent photos or the motion blur kernels, contributes to the success of contemporary single-image approaches. On digital datasets, KSR also discovers effective kernel matrix approximation to hasten blurring and provide effective de-blur performances. The licence plate, which serves as the vehicle's distinctive identifier, is an important indicator of speeding or hit-and-run cars. However, the image of a fast-moving car taken by a security camera is usually blurred and not even humanly discernible.These observed plate pictures are frequently poor resolution and have significant edge information lost, which presents a significant challenge to the current blind deblurring techniques. The blur kernel may be thought of as a linear uniform convolution and parametrically modelled with angle and length for licence plate picture blurring brought on by rapid movement. This research suggests unique technique for locating the blur kernel based on sparse representation. We determine the angle of the kernel by looking at the sparse representation coefficients of the restored picture because the retrieved photo has the highest sparse representation when the kernel angle coincides with the real motion angle. Afterwards, using Radon transform in Fourier domain, we estimate the size of the motion kernel. Even when the licence plate is impossible for a person to read, our system handles big motion blur rather effectively. We assess our method using actual photographs and contrast it with a number of well-known cutting-edge blind image deblurring techniques. Experimental findings show that our suggested technique is superior in terms of efficiency and resilience.
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4

Cai, Yun Tao, and Bo Qiang Shi. "Computer Simulation of Rebound Path of Ping-Pong." Advanced Materials Research 1030-1032 (September 2014): 1684–87. http://dx.doi.org/10.4028/www.scientific.net/amr.1030-1032.1684.

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In this article, we explained the movement of the vertical motion of ping-pong its mathematic equation and difference equation, designed the corresponding program, worked out the connection of the rebounded speed or the rebound times and the height as the time passed, stated the corresponding physical background visually with the picture, analyzed the physical reason of this physical phenomenon. It has intensive practicability and is very active for studying and researching the motion of ping-pong. It’s very active for the students studying physics, mechanics, mathematics, gym and computer application as a teaching software as well.
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5

Li, Xiangkun, Guoqing Sun, and Yifei Li. "Human Motion Representation and Motion Pattern Recognition Based on Complex Fuzzy Theory." Complexity 2021 (October 14, 2021): 1–12. http://dx.doi.org/10.1155/2021/9923748.

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With the development of science and technology, the introduction of virtual reality technology has pushed the development of human-computer interaction technology to a new height. The combination of virtual reality and human-computer interaction technology has been applied more and more in military simulation, medical rehabilitation, game creation, and other fields. Action is the basis of human behavior. Among them, human behavior and action analysis is an important research direction. In human behavior and action, recognition research based on behavior and action has the characteristics of convenience, intuition, strong interaction, rich expression information, and so on. It has become the first choice of many researchers for human behavior analysis. However, human motion and motion pictures are complex objects with many ambiguous factors, which are difficult to express and process. Traditional motion recognition is usually based on two-dimensional color images, while two-dimensional RGB images are vulnerable to background disturbance, light, environment, and other factors that interfere with human target detection. In recent years, more and more researchers have begun to use fuzzy mathematics theory to identify human behaviors. The plantar pressure data under different motion modes were collected through experiments, and the current gait information was analyzed. The key gait events including toe-off and heel touch were identified by dynamic baseline monitoring. For the error monitoring of key gait events, the screen window is used to filter the repeated recognition events in a certain period of time, which greatly improves the recognition accuracy and provides important gait information for motion pattern recognition. The similarity matching is performed on each template, the correct rate of motion feature extraction is 90.2%, and the correct rate of motion pattern recognition is 96.3%, which verifies the feasibility and effectiveness of human motion recognition based on fuzzy theory. It is hoped to provide processing techniques and application examples for artificial intelligence recognition applications.
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6

Chandrawansa, Kumari, Frits H. Ruymgaart, and Arnoud C. M. Van Rooij. "Controlling the Gibbs phenomenon in noisy deconvolution of irregular multivariable input signals." Journal of Applied Mathematics and Stochastic Analysis 13, no. 1 (January 1, 2000): 1–14. http://dx.doi.org/10.1155/s1048953300000010.

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An example of inverse estimation of irregular multivariable signals is provided by picture restoration. Pictures typically have sharp edges and therefore will be modeled by functions with discontinuities, and they could be blurred by motion. Mathematically, this means that we actually observe the convolution of the irregular function representing the picture with a spread function. Since these observations will contain measurement errors, statistical aspects will be pertinent. Traditional recovery is corrupted by the Gibbs phenomenon (i.e., overshooting) near the edges, just as in the case of direct approximations. In order to eliminate these undesirable effects, we introduce an integral Cesàro mean in the inversion procedure, leading to multivariable Fejér kernels. Integral metrics are not sufficiently sensitive to properly assess the quality of the resulting estimators. Therefore, the performance of the estimators is studied in the Hausdorff metric, and a speed of convergence of the Hausdorff distance between the graph of the input signal and its estimator is obtained.
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7

Bay-Williams, Jennifer M. "Poetry in Motion: Using Shel Silverstein's Works to Engage Students in Mathematics." Mathematics Teaching in the Middle School 10, no. 8 (April 2005): 386–93. http://dx.doi.org/10.5951/mtms.10.8.0386.

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Through Brilliant, Clever Poems and prose, Shel Silverstein has worked his way into many classrooms and into the hearts of students and teachers. He wrote poems with an obvious knowledge that a child's mind is active and curious, and middle school students love reading and listening to his words. Imbedded in many of his poems and prose are opportunities to do mathematics in ways that will get students' minds “flickerin'.” Using a poem, picture book, or portions of a novel can raise the curiosity of middle school students and can increase their desire to solve mathematics problems. As students engage in solving literature-based mathematics lessons, they are applying mathematics in different contexts and making connections among mathematical ideas, which are expectations outlined in the Connections Standard in Principles and Standards for School Mathematics (NCTM 2000). In the following sections, four delightful Silverstein works prompted engaging mathematics explorations. Each selection focused on a different mathematical strand, although there is much integration of other concepts in the problems.
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8

Kang, Ruidan, Jiajin Li, Xiaojun Teng, Boyan Lv, and Cangzhi Wu. "57.1: Research on Moving Picture Response Time of Organic Light‐emitting Diode." SID Symposium Digest of Technical Papers 54, S1 (April 2023): 424–25. http://dx.doi.org/10.1002/sdtp.16322.

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The motion image quality of organic light‐emitting diode (OLED) degrades by motion blur due to the hold‐type display. Moving picture response time (MPRT) is a representative index to evaluate the performance of the moving image. A method based on high speed camera is introduced to evaluate the motion blur of OLED display. We explored the influence of exposure time of high speed camera on MPRT evaluation.
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Kang, Ruidan, Jiajin Li, Xiaojun Teng, Boyan Lv, and Cangzhi Wu. "P‐45: An Evaluation Method of Moving Picture Response Time for Organic Light‐Emitting Diode Motion Blur." SID Symposium Digest of Technical Papers 54, no. 1 (June 2023): 1682–84. http://dx.doi.org/10.1002/sdtp.16922.

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The motion image quality of organic light‐emitting diode (OLED) degrades by motion blur due to the hold‐type display. Moving picture response time (MPRT) is a representative index to evaluate the performance of the moving image. A method is proposed to evaluate the motion blur of OLED display.
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10

Koschel, Alan, Christoph Müller, and Alexander Reiterer. "Selection of Key Frames for 3D Reconstruction in Real Time." Algorithms 14, no. 11 (October 21, 2021): 303. http://dx.doi.org/10.3390/a14110303.

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Cameras play a prominent role in the context of 3D data, as they can be designed to be very cheap and small and can therefore be used in many 3D reconstruction systems. Typical cameras capture video at 20 to 60 frames per second, resulting in a high number of frames to select from for 3D reconstruction. Many frames are unsuited for reconstruction as they suffer from motion blur or show too little variation compared to other frames. The camera used within this work has built-in inertial sensors. What if one could use the built-in inertial sensors to select a set of key frames well-suited for 3D reconstruction, free from motion blur and redundancy, in real time? A random forest classifier (RF) is trained by inertial data to determine frames without motion blur and to reduce redundancy. Frames are analyzed by the fast Fourier transformation and Lucas–Kanade method to detect motion blur and moving features in frames to label those correctly to train the RF. We achieve a classifier that omits successfully redundant frames and preserves frames with the required quality but exhibits an unsatisfied performance with respect to ideal frames. A 3D reconstruction by Meshroom shows a better result with selected key frames by the classifier. By extracting frames from video, one can comfortably scan objects and scenes without taking single pictures. Our proposed method automatically extracts the best frames in real time without using complex image-processing algorithms.
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11

Iliev, Bozhidar Z. "Fibre bundle formulation of nonrelativistic quantum mechanics: III. Pictures and integrals of motion." Journal of Physics A: Mathematical and General 34, no. 23 (May 31, 2001): 4935–50. http://dx.doi.org/10.1088/0305-4470/34/23/310.

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12

Miyata, Hideaki, Makoto Kanai, Noriaki Yoshiyasu, and Yohichi Furuno. "Diffraction Waves About an Advancing Wedge Model in Deep Water." Journal of Ship Research 34, no. 02 (June 1, 1990): 105–22. http://dx.doi.org/10.5957/jsr.1990.34.2.105.

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The diffraction of regular waves by advancing wedge models is studied both experimentally and numerically. The nonlinear features of diffracted waves are visualized by wave pattern pictures and the formation is analyzed by the grid-projection method. The experimental observation indicates that the diffracted waves have a number of nonlinear characteristics similar to shock waves due to the interaction of incident waves with the advancing obstacle in the flow-field caused by the advancing motion. Bow waves of both oblique type and normal detached type are observed at remarkably lower Froude numbers than in the case of a ship in steady advance motion. Their occurrence systematically depends on the Froude number and the wedge angle. The numerical simulation of this phenomenon by a finite-difference method shows approximate agreement with the experimental results.
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13

Gavrilov, E. V., and V. K. Kirillovskii. "Modern motion-picture lenses and their testing." Journal of Optical Technology 72, no. 10 (October 1, 2005): 773. http://dx.doi.org/10.1364/jot.72.000773.

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14

Zhu, Shiping, Liyun Li, Juqiang Chen, and Kamel Belloulata. "An Efficient Fractal Video Sequences Codec with Multiviews." Mathematical Problems in Engineering 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/853283.

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Multiview video consists of multiple views of the same scene. They require enormous amount of data to achieve high image quality, which makes it indispensable to compress multiview video. Therefore, data compression is a major issue for multiviews. In this paper, we explore an efficient fractal video codec to compress multiviews. The proposed scheme first compresses a view-dependent geometry of the base view using fractal video encoder with homogeneous region condition. With the extended fractional pel motion estimation algorithm and fast disparity estimation algorithm, it then generates prediction images of other views. The prediction image uses the image-based rendering techniques based on the decoded video. And the residual signals are obtained by the prediction image and the original image. Finally, it encodes residual signals by the fractal video encoder. The idea is also to exploit the statistical dependencies from both temporal and interview reference pictures for motion compensated prediction. Experimental results show that the proposed algorithm is consistently better than JMVC8.5, with 62.25% bit rate decrease and 0.37 dB PSNR increase based on the Bjontegaard metric, and the total encoding time (TET) of the proposed algorithm is reduced by 92%.
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15

Inoue, Ayumu. "A Symmetric Motion Picture of the Twist-Spun Trefoil." Experimental Mathematics 22, no. 1 (January 2013): 15–25. http://dx.doi.org/10.1080/10586458.2013.748310.

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16

Gorchakov, S. Yu. "Mathematical modeling of velocity and accelerations fields of image motion in the optical equipment of the Earth remote sensing satellite." Russian Technological Journal 11, no. 6 (December 14, 2023): 47–56. http://dx.doi.org/10.32362/2500-316x-2023-11-6-47-56.

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Objectives. The paper considers a satellite with an optoelectronic payload designed to take pictures of the Earth’s surface. The work sets out to develop a mathematical model for determining the dependencies between the state vector of the satellite, the state vector of the point being imaged on the Earth’s surface, and the distribution fields of the velocity vectors and accelerations of the motion of the image along the focal plane of the optoelectronic payload.Methods. The method is based on double differentiation of the photogrammetry equation when applied to a survey of the Earth’s surface from space. For modeling the orbital and angular motion of the satellite, differential equations with numerical integration were used. The motion parameters of the Earth’s surface were calculated based on the Standards of Fundamental Astronomy software library.Results. Differential equations of motion of the image were obtained. Verification of the developed mathematical model was carried out. The motion of the considered satellite was simulated in orbital orientation mode using an image velocity compensation model. The distribution fields of velocity vectors and accelerations of motion of the image of the Earth’s surface were constructed. The residual motion of the field of image following compensation was investigated.Conclusions. The proposed mathematical model can be used both with an optoelectronic payload when modeling shooting modes and estimating image displacements at the design stage of a satellite, as well as at the satellite operation stage when incorporating the presented model in the onboard satellite software. The presented dependencies can also be used to construct an image transformation matrix, both when restoring an image and when obtaining a super-resolution.
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17

Guo, Honghu, Akihiro Takezawa, Kazuo Ichikawa, and Hiroyuki Sakai. "Experimental and Numerical Investigation of the Damping Performance of Metal Additively Manufactured Particle Damper." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 268, no. 4 (November 30, 2023): 4532–37. http://dx.doi.org/10.3397/in_2023_0647.

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The additively manufactured particle damper (AMPD) is a novel particle damper fabricated by leaving unfused powder inside the pre-designed structural cavities during the laser powder bed fusion (LPBF) process. It can be applied at high temperatures and a wide range of frequencies without any additional installation space. However, the damping mechanism and performance of AMPD are still unclear due to insufficient experimental and simulation analyses. In this work, the damping capacity of AMPDs with three different unit cell sizes at high frequencies and low vibration amplitudes were investigated experimentally and numerically. The AMPDs were manufactured using LPBD with 316 L stainless steel. The complex power method was used to measure the energy dissipation of the AMPD directly. A discrete element method (DEM) simulation model was developed to visualize the particle motion mode during each vibration process. The computed tomography (CT) pictures were utilized to measure the powder distribution in each AMPD's cavity. Finally, the influence of excitation frequency, excitation amplitude, and cavity size on the damping performance of the AMPD were explained by comparing the experimental and simulation results.
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Mole, Paulina Nelce, Rambu Ririnsia Harra Hau, and Agustina Elizabeth. "Multi Representation Ability of Students in Solving Physics Problems on Straight Motion." Variabel 5, no. 1 (April 30, 2022): 43. http://dx.doi.org/10.26737/var.v5i1.2592.

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<em>This study aims to describe the students' multi representation abilities in solving descriptive questions on straight motion material. This was qualitative research with an analytic descriptive approach. The subjects of this study were three physics teachers and twenty-five students of class X MIA SMA Negeri 1 Maumere. The data used in this study were evaluation questions, physical evaluation scores, student worksheets on evaluation questions and interview results. The data collection techniques used in this study were as follows: Documentation and in-depth interviews. For qualitative research data to be accounted for as scientific research, In this study, using triangulation techniques, checking data to the same source with different techniques, namely the results of observations, students' answers, and in-depth interviews. Data analysis techniques used in this study were grounded theory. The steps of grounded theory were: creating categories for the information obtained (open coding), selecting one of the categories and placing it in a theoretical model (axial coding), and then compiling a story of the relationship between these categories (selective coding). The results showed that students tend to use the same representation, such as verbal 12.5%, mathematical 87.5%, while graphics and pictures were 0%. For each category, students: (a) in the low category received a mathematical representation score of 73.81% and verbal representation was 83.3%, (b) in the moderate category received a verbal representation score of 85% and mathematically 83.06% (c) in the high category obtained a verbal representation score of 83.3% and mathematics 90.47%.</em>
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Mole, Paulina Nelce, Rambu Ririnsia Harra Hau, and Agustina Elizabeth. "Multi Representation Ability of Students in Solving Physics Problems on Straight Motion." Variabel 5, no. 1 (April 30, 2022): 43. http://dx.doi.org/10.26737/var.v5i1.2592.

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<em>This study aims to describe the students' multi representation abilities in solving descriptive questions on straight motion material. This was qualitative research with an analytic descriptive approach. The subjects of this study were three physics teachers and twenty-five students of class X MIA SMA Negeri 1 Maumere. The data used in this study were evaluation questions, physical evaluation scores, student worksheets on evaluation questions and interview results. The data collection techniques used in this study were as follows: Documentation and in-depth interviews. For qualitative research data to be accounted for as scientific research, In this study, using triangulation techniques, checking data to the same source with different techniques, namely the results of observations, students' answers, and in-depth interviews. Data analysis techniques used in this study were grounded theory. The steps of grounded theory were: creating categories for the information obtained (open coding), selecting one of the categories and placing it in a theoretical model (axial coding), and then compiling a story of the relationship between these categories (selective coding). The results showed that students tend to use the same representation, such as verbal 12.5%, mathematical 87.5%, while graphics and pictures were 0%. For each category, students: (a) in the low category received a mathematical representation score of 73.81% and verbal representation was 83.3%, (b) in the moderate category received a verbal representation score of 85% and mathematically 83.06% (c) in the high category obtained a verbal representation score of 83.3% and mathematics 90.47%.</em>
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20

Kaila, Ville R. I., and Arto Annila. "Natural selection for least action." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 464, no. 2099 (July 22, 2008): 3055–70. http://dx.doi.org/10.1098/rspa.2008.0178.

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The second law of thermodynamics is a powerful imperative that has acquired several expressions during the past centuries. Connections between two of its most prominent forms, i.e. the evolutionary principle by natural selection and the principle of least action, are examined. Although no fundamentally new findings are provided, it is illuminating to see how the two principles rationalizing natural motions reconcile to one law. The second law, when written as a differential equation of motion, describes evolution along the steepest descents in energy and, when it is given in its integral form, the motion is pictured to take place along the shortest paths in energy. In general, evolution is a non-Euclidian energy density landscape in flattening motion.
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21

LUO, ALBERT C. J., and JIANZHE HUANG. "ASYMMETRIC PERIODIC MOTIONS WITH CHAOS IN A SOFTENING DUFFING OSCILLATOR." International Journal of Bifurcation and Chaos 23, no. 05 (May 2013): 1350086. http://dx.doi.org/10.1142/s0218127413500867.

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In this paper, asymmetric periodic motions in a periodically forced, softening Duffing oscillator are presented analytically through the generalized harmonic balance method. For the softening Duffing oscillator, the symmetric periodic motions with jumping phenomena were understood very well. However, asymmetric periodic motions in the softening Duffing oscillators are not investigated analytically yet, and such asymmetric periodic motions possess much richer dynamics than the symmetric motions in the softening Duffing oscillator. For asymmetric motions, the bifurcation tree from asymmetric period-1 motions to chaos is discussed comprehensively. The corresponding, unstable and stable, asymmetric and symmetric, periodic motions in the softening Duffing oscillator are presented, and numerical illustrations of stable and unstable periodic motions are completed. This investigation provides a better picture of complex motion in the softening Duffing oscillator.
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Бабаков, А. В., and С. И. Шматов. "Mathematical modeling and analysis of aerodynamic and thermal effects on the descent module of the spacecraft ExoMars-2020 during soft landing." Вестник НПО им. С.А. Лавочкина, no. 4(50) (December 11, 2020): 22–30. http://dx.doi.org/10.26162/ls.2020.50.4.004.

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Представлены результаты численного исследования структуры течения, возникающего между десантным модулем и посадочной поверхностью при работающей тормозной двигательной установке. Приводятся данные по силовому и тепловому воздействию возникающего течения на десантный модуль в зависимости от его расстояния и ориентации относительно посадочной поверхности и величины тяги тормозной установки. Представлены картины возникающего нестационарного вихревого движения среды. Results of numerical study of flow structure occurring between descent module and landing surface at operating brake propulsion system are presented. Data on the force and thermal effect of the emerging flow on the descent module are given, depending on its distance and orientation relative to the landing surface and amount of the braking engine thrust. The pictures of the arising unsteady vortex motion of the medium are presented.
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STUART, J. T. "The Lagrangian Picture of Fluid Motion and its Implication for Flow Structures." IMA Journal of Applied Mathematics 46, no. 1-2 (1991): 147–63. http://dx.doi.org/10.1093/imamat/46.1-2.147.

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24

Oleksandr, Lishafai. "TECHNOLOGICAL PROCESSES OF SOUND MAKING IN AUDIOVISUAL WORK." Problems of Interaction Between Arts, Pedagogy and the Theory and Practice of Education 60, no. 60 (October 3, 2021): 75–95. http://dx.doi.org/10.34064/khnum1-60.04.

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The relevance of the article. The article explores technological processes of creating sound accompaniment in audiovisual works and points out main categories that expose a panoramic picture of these processes. The soundtrack in relation to a motion picture is a flexible, modern structure with a large number of components. There is a number of technical means for reproducing sound accompaniment in audiovisual work. More than a hundred years ago, when it was necessary to make works of fine art more affecting and impressive with the help of sound, they used to fall back on acoustic musical instruments, which were part of various types of orchestras. Noise sounds were also widely used. At the same time, the development of audio–visual interaction in motion picture took place. Eventually, this process began to include technologies based on the use of vinyl records, discs, films and tape recordings. Today, they are replaced by the latest, rapidly updated digital equipment that enhances and expands the possibilities of sound in audiovisual work The purpose of the article is to reveal and systematize the main components of the technological process of reproducing sound accompaniment in a motion picture, as well as, generalize results in graphical form, showing a panoramic view of this process. Research methods of studying technological processes of sound production in audiovisual work are: system-analytical (investigating sources that reveal these prosesses, their comparative analysis and systematization) and generalizing (investigating origins of the main categories and exposing a panoramic picture of these processes). Conclusions. The work summarizes information on the technology of sound field creation, main categories that make up this process (sound as a unit of musical information and a core of the background composition; engineering equipment and a group of specialists responsible for sound recording), principles of sound sources processing (methods of working with sounds and effects), structural categories (holistic background compositions) and methods of implementation, the effectiveness of technological processes in creating sound design. The article outlines the author’s concept of creating soundtrack in audiovisual work as a scientific and practical process and gives prospects for its development.
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Wang, Yunchen. "Research on Dance Movement Recognition Based on Multi-Source Information." Mathematical Problems in Engineering 2022 (April 23, 2022): 1–10. http://dx.doi.org/10.1155/2022/5257165.

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A huge number of scientific research institutions and scholars are now researching this topic in depth, with promising results. Meanwhile, research development in dance visual frequency movement detection is rather modest due to the high complexity of dance movement and the challenges of human body self-shielding in dance performance. Aiming at the problem of the combination of motion recognition and dance video, the feature extraction, representation, and motion recognition methods based on dance video are emphatically studied. This paper studies an effective feature extraction method according to the characteristics of dance movements. Firstly, each dance movement video in the data set is separated into equal sections, and the edge characteristics of all video pictures in each segment are gathered into one image, from which the direction gradient histogram features are extracted. Secondly, a group of directional gradient histogram feature vectors is used to represent the local appearance information and shape features of the video dance moves. In view of the existing problem of heterogeneous feature fusion, this paper chooses the multi-core learning method to fuse the three kinds of features for dance movement recognition. Finally, the effectiveness of the proposed dance movement detection algorithm is tested using the Dance DB data set from the University of Cyprus and the Folk Dance data set from my laboratory. Experimental results show that the proposed algorithm can maintain a certain recognition rate for relatively complex dance movements and can still ensure a certain accuracy when the background and target are easily confused. This also confirms the efficacy of the movement recognition system used in this paper for recognizing dance movements.
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Wu, M., M. P. Tulin, and E. Fontaine. "On the Simulation of Amplified Bow Waves Induced by Motion in Head Seas." Journal of Ship Research 44, no. 04 (December 1, 2000): 290–99. http://dx.doi.org/10.5957/jsr.2000.44.4.290.

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The prediction of bow wave amplification for a ship navigating in head seas is achieved by means of the 2D +t nonlinear slender-body theory. High-resolution numerical simulations show the development of spray sheets along the hull. For conditions of navigation severe enough, the thick jets rise and top the deck level, leading to the possibility of deck wetness. The overall capabilities of the method of calculation are demonstrated through a systematic study for a frigate. Continuous time domain pictures of the flow as the bow enters the incoming waves are presented. The relationship between the incoming wave parameters and the sequence of probable events (deck wetness, slamming, …) that occurs in the bow region is studied, leading to predictions of both the onset and strength of probable deck wetness, as well as forefoot emergence and possible slamming events. The probability of deck wetness in the numerical simulation is confirmed by model experiments. Results are summarized in charts that allow critical evaluation of a given design (see Figs. 8 and 9), including the nonlinear dynamic rise of the water elevation, experienced as a spray sheet along the hull of critical importance for predicting the probable onset of deck wetness. These charts would seem extremely useful in the design phase, and it is our major purpose here to bring the possibility of computing them with the 2D+t method to the attention of naval architects.
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Apriliana, Lia, Ismet Ismet, and Ida Sriyanti. "Analysis of Validation Results of Electronic Student Worksheet Based on Multi Representation of Linear Motion Kinematics Materials." Berkala Ilmiah Pendidikan Fisika 10, no. 1 (May 21, 2022): 84. http://dx.doi.org/10.20527/bipf.v10i1.12198.

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Multi-representation-based electronic student worksheets are learning media with teaching materials that include verbal components, pictures, graphics, and mathematics. This study aimed to analyze the electronic student worksheet based on multi-representing valid linear motion kinematics material in high school physics class X. The research was conducted using Define-Design-Develop-Disseminate) model. Produce a valid product. There are two main aspects that we will analyze, namely: material and media. The results of the validation of the material aspects with indicators (1) content/breadth of material include material breadth, material depth, material truth, material completeness, material presentation, learning evaluation, and student activities with a percentage of 79% (valid), (2) Presentation of material that are covering techniques for presenting material, systematics, and generating motivation to learn with a percentage of 80% (valid), and (3) Language which includes sentence clarity, conformity with Indonesian language rules, and very valid status sentence structure with a percentage of 80% (valid). Meanwhile, the results of the analysis for the validation of media aspects with indicators (1) Didactic, which includes the learning process and ability development with a percentage of 80% (valid), (2) Construction which includes the accuracy of using language and sentences, paying attention to students' abilities, and has benefits, objectives, and identity with a percentage of 97% (very valid), and (3) Technical, said to be very valid by media experts on all indicators with a percentage between 97% (very valid). Based on the results of the analysis of the electronic student worksheet based on multiple representations, the media developed is valid. This media can analyze problem-solving skills in high school physics learning. This research is expected to reference other researchers in developing physics learning media.
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Xu, Feng, and Guohua Li. "Feature Extraction Algorithm of Basketball Trajectory Based on the Background Difference Method." Mathematical Problems in Engineering 2022 (March 19, 2022): 1–11. http://dx.doi.org/10.1155/2022/2653279.

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People are increasingly interested in moving object detection technology as a part of computer vision technology, which has grown in importance in recent years. Moving target detection technology is widely employed in military defense, security monitoring, medical examinations, intelligent transportation, and many other industries at the present time. A moving target detection system relies on rapid and accurate video picture segmentation to identify, locate, and analyze the target. The trajectory of a basketball player’s shooting motion and the extraction of features are important to increase the accuracy of basketball players’ shots. This study proposes an area growth algorithm-based approach to tracing the shooting motion of basketball players. The trajectory of the shot motion is captured using a video sensor image tracking approach. The corner points and the edge contours of the trajectory image are extracted using the edge contour feature extraction method, the feature extraction from the firing motion trajectory image is merged with the regional linear growth approach, and the corner points are then marked. Feature extraction improves basketball players’ shooting accuracy and trajectory control ability. Simulation results show that the prediction accuracy of basketball players’ shooting trajectories using this method can reach up to 100%, which improves the accuracy of motion trajectory extraction and enhances basketball players’ shooting motion control.
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Denisyuk, A. I., V. N. Kuz’min, S. E. Nikolaev, S. V. Safronov, K. A. Tomskii, and A. S. Troitskii. "Densitometer for measurement of the optical density of motion picture and photographic film." Measurement Techniques 49, no. 7 (July 2006): 685–88. http://dx.doi.org/10.1007/s11018-006-0171-z.

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Lee, Edward T., and Fred Y. Wu. "Algorithms for simple object reconstruction using the largest possible object approach." Robotica 10, no. 4 (July 1992): 377–81. http://dx.doi.org/10.1017/s0263574700008213.

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SUMMARYRecently, three-dimensional motion analysis and shape recovery have attracted growing attention as promising avenues of approach to image understanding, object reconstruction as well as computer vision for robotic Systems. The image generation problem and the model generation problem are presented. More specifically, the inputs to the image generator are an old image, object model, motion specification, and hidden line and hidden surface algorithms. The output is a new image. Since the object model is given, the top-down approach is usually used. On the other hand, for the model generation problem, the input is an image sequence while the output is an object model. Since the object model is not given, and bottom-up approach is usually used.In this paper, the largest possible object approach is proposed and the advantages of this approach are stated. They are:1. This approach may be applicable to objects with planar surfaces as well as nonplanar surfaces.2. This approach may be applicable to the case that there are more than one face change per frame.3. This approach may be applicable when the camera is moving.4. This approach may be applicable when the object is measured by several measuring stations.By using this approach, algorithms for simple object reconstruction given a sequence of pictures are presented together with illustrative examples. The relevance and importance of this work are discussed.The results of this paper may have useful applications in object reconstruction, pictorial data reduction and computer vision for robotic Systems.
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Takagi, Koh'ichi, Atsushi Koike, Shuichi Matsumoto, and Hideo Yamamoto. "Motion picture coding based on region segmentation using genetic algorithm." Systems and Computers in Japan 33, no. 5 (March 13, 2002): 41–50. http://dx.doi.org/10.1002/scj.1126.

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32

Basha, Sardar N., and A. Rajesh. "Scalable Video Coding Using Accordion Discrete Wavelet Transform and Tucker Decomposition for Multimedia Applications." Journal of Computational and Theoretical Nanoscience 16, no. 2 (February 1, 2019): 601–8. http://dx.doi.org/10.1166/jctn.2019.7777.

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The digital world demands the transmission and storage of high quality video for streaming and broadcasting applications, the constraints are the network bandwidth and the memory of devices for the various multimedia and scientific applications, the video consists of spatial and temporal redundancies. The objective of any video compression algorithm is to eliminate the redundant information from the video signal during compression for effective transmission and storage. The correlation between the successive frames has not been exploited enough by the current compression algorithms. In this paper, a novel method for video compression is presented. The proposed model, applies the transformation on set of group of pictures (GOP). The high spatial correlation is achieved from the spatial and temporal redundancy of GOP by accordion representation and this helps to bypass the computationally demanding motion compensation step. The core idea of the proposed technique is to apply Tucker Decomposition (TD) on the Discrete Wavelet Transform (DWT) coefficients of the Accordion model of the GOP. We use DWT to separate the video in to different sub-images and TD to efficiently compact the energy of sub-images. The blocking artifacts will be considerably eliminated as the block size is huge. The proposed method attempts to reduce the spatial and temporal redundancies of the video signal to improve the compression ratio, computation time, and PSNR. The experimental results prove that the proposed method is efficient especially in high bit rate and with slow motion videos.
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Bormotova, Irina, Elena Kopteva, and Zdeněk Stuchlík. "Geodesic Structure of the Accelerated Stephani Universe." Symmetry 13, no. 6 (June 3, 2021): 1001. http://dx.doi.org/10.3390/sym13061001.

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For the spherically symmetric Stephani cosmological model with an accelerated expansion, we investigate the main scenarios of the test particle and photon motion. We show that a comoving observer sees an appropriate picture. In the case of purely radial motion, the radial velocity decreases slightly with time due to the universe expansion. Both particles and photons spiral out of the center when the radial coordinate is constant. In the case of the motion with arbitrary initial velocity, the observable radial distance to the test particle can increase under negative observable radial velocity.
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Magin, Richard L., and Ervin K. Lenzi. "Slices of the Anomalous Phase Cube Depict Regions of Sub- and Super-Diffusion in the Fractional Diffusion Equation." Mathematics 9, no. 13 (June 24, 2021): 1481. http://dx.doi.org/10.3390/math9131481.

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Fractional-order time and space derivatives are one way to augment the classical diffusion equation so that it accounts for the non-Gaussian processes often observed in heterogeneous materials. Two-dimensional phase diagrams—plots whose axes represent the fractional derivative order—typically display: (i) points corresponding to distinct diffusion propagators (Gaussian, Cauchy), (ii) lines along which specific stochastic models apply (Lévy process, subordinated Brownian motion), and (iii) regions of super- and sub-diffusion where the mean squared displacement grows faster or slower than a linear function of diffusion time (i.e., anomalous diffusion). Three-dimensional phase cubes are a convenient way to classify models of anomalous diffusion (continuous time random walk, fractional motion, fractal derivative). Specifically, each type of fractional derivative when combined with an assumed power law behavior in the diffusion coefficient renders a characteristic picture of the underlying particle motion. The corresponding phase diagrams, like pages in a sketch book, provide a portfolio of representations of anomalous diffusion. The anomalous diffusion phase cube employs lines of super-diffusion (Lévy process), sub-diffusion (subordinated Brownian motion), and quasi-Gaussian behavior to stitch together equivalent regions.
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Li, Fengming, Juan Yu, Sha Liu, Shiqing Ma, and Dan Wang. "P‐13.9: The MPRT Comparative Study between LCD and OLED Display." SID Symposium Digest of Technical Papers 54, S1 (April 2023): 938–41. http://dx.doi.org/10.1002/sdtp.16459.

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With the competition between organic light‐emitting diode (OLED) and liquid crystal display (LCD) in high‐end display applications, the debate on dynamic display quality has become increasingly fierce. In this paper, the motion picture response time (MPRT) as one of the key parameters of dynamic display quality is comparatively studied by theoretical and experimental methods. It is found that frame time is the key factor at low refresh rate, and the MPRT of OLED and LCD is similar; On the other hand, the grey to grey time (GTG) as the dynamic response of the device itself is the key factor at high refresh rate, and OLED display will have significant advantages.
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36

Leschziner, Michael A. "Friction-Drag Reduction by Transverse Wall Motion – A Review." Journal of Mechanics 36, no. 5 (August 25, 2020): 649–63. http://dx.doi.org/10.1017/jmech.2020.31.

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ABSTRACTThe quest for drag reduction is driven by environmental concerns, in general, and the need to reduce fuel consumption in transport applications, in particular. Turbulent friction is especially important in civil aviation, accounting for over 50% of the total drag in cruise. In this context, spatially and/or temporally varying in-plane wall motion, while undoubtedly difficult to implement in practice, has attracted major interest, because of the large drag-reduction margins it yields. It is also a forcing method that is of fundamental interest, as it provokes intriguing interactions between the spanwise Stokes layer induced by the wall motion and the near-wall turbulence-regeneration mechanisms. This article provides a relatively brief, ‘entry-level’, review of research in this area, principally over the past two decades. While far from being exhaustive, the review conveys a reasonably detailed picture of some major physical issues as well as of the outcome of the most important computational and experimental studies. Particular emphasis is placed on the question of how results obtained in idealised laboratory conditions and by simulation at relatively low Reynolds-number values pertain to high values typical of high-speed transport.
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Bizyaev, I. A., and I. S. Mamaev. "Dynamics of a pair of point vortices and a foil with parametric excitation in an ideal fluid." Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki 30, no. 4 (December 2020): 618–27. http://dx.doi.org/10.35634/vm200406.

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In this paper we obtain equations of motion for a vortex pair and a circular foil with parametric excitation due to the periodic motion of a material point. Undoubtedly, such problems are, on the one hand, model problems and cannot be used for an exact quantitative description of real trajectories of the system. On the other hand, in many cases such 2D models provide a sufficiently accurate qualitative picture of the dynamics and, due to their simplicity, an estimate of the influence of different parameters. We describe relative equilibria that generalize Föppl solutions and collinear configurations when the material point does not move. We show that a stochastic layer forms in the neighborhood of relative equilibria in the case of periodic motion of the foil's center of mass.
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Roberts, A. J. "Planform evolution in convection–an embedded centre manifold." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 34, no. 2 (October 1992): 174–98. http://dx.doi.org/10.1017/s0334270000008717.

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AbstractThe new motion of embedding a centre manifold in some higher-dimensional manifold leads to a practical approach to the rational low-dimensional approximation of a wide class of dynamical systems; it also provides a simple geometric picture for these approximations. In particular, I consider the problem of finding an approximate, but accurate, description of the evolution of a two-dimensional planform of convection. Inspired by a simple example, the straightforward adiabatic iteration is proposed to estimate an embedding manifold and arguments are presented for its effectiveness. Upon applying the procedure to a model convective planform problem I find that the resulting approximations perform remarkably well–much better than the traditional Swift-Hohenberg approximation for planform evolution.
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Linz, Jill A. "Building a mathematical model for a simple harmonic oscillator that uses educational methods found in both physics education research and in the language disciplines that make it accessible to undergraduate students in an introductory musical acoustics course." Journal of the Acoustical Society of America 155, no. 3_Supplement (March 1, 2024): A296. http://dx.doi.org/10.1121/10.0027561.

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At the basis of any course in acoustics is the fundamental idea of the simple harmonic oscillator. The term alone is confusing to students with little to no background in physics or math. For courses in musical acoustics at the undergraduate level, this topic is often minimized due to the lack of preparation. This, in turn, results in a more superficial approach to the advanced topics. While deriving the mathematical treatment from first principles is out of reach to these students, approaching the math itself as a language where they are building a description of a simple mass and spring system in their new, yet somewhat familiar, language can be accomplished through pictures, graphs and hands on activities. Students begin to build a vocabulary of “words” that can be strung together in “sentences” that tell the story of how the motion of a mass on a spring is produced. Emphasis is placed on the analogous comparison of physical properties by relating variables such as amplitude and frequency to that of volume and pitch. This model can then be used as a building block to the understanding of how sound is produced, propagated and perceived.
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40

Young, Linda. "Motion Pictures." SMPTE Journal 105, no. 4 (April 1996): 177–78. http://dx.doi.org/10.5594/j15829.

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Masson, Alan J. "Motion Pictures." SMPTE Journal 108, no. 2 (February 1999): 75–78. http://dx.doi.org/10.5594/j17112.

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Masson, Alan J. "Motion Pictures." SMPTE Journal 107, no. 1 (January 1998): 11–13. http://dx.doi.org/10.5594/j17616.

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Bonnaud, Irène, Suzanne Doppelt, Christophe Triau, and Sacha Zilberfarb. "Motion pictures." Vacarme 15, no. 2 (2001): 60. http://dx.doi.org/10.3917/vaca.015.0060.

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Burns, Edward J. "Motion Pictures." SMPTE Journal 97, no. 4 (April 1988): 268–74. http://dx.doi.org/10.5594/j00667.

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Young, Linda. "Motion Pictures." SMPTE Journal 106, no. 1 (January 1997): 9–11. http://dx.doi.org/10.5594/j09530.

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Ricotta, Frank J. "Motion Pictures." SMPTE Journal 104, no. 4 (April 1995): 186–88. http://dx.doi.org/10.5594/j09609.

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Ricotta, Frank J. "Motion Pictures." SMPTE Journal 103, no. 4 (April 1994): 211–15. http://dx.doi.org/10.5594/j09688.

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48

Antonoff, Michael. "Motion Pictures." Scientific American 296, no. 5 (May 2007): 24–25. http://dx.doi.org/10.1038/scientificamerican0507-24.

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Mitchison, Tim J. "Motion pictures." Nature 357, no. 6373 (May 1992): 32. http://dx.doi.org/10.1038/357032a0.

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Gomery, Douglas. "Motion Pictures." Communication Booknotes 16, no. 5 (May 1985): 49. http://dx.doi.org/10.1080/10948008509488306.

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