Готові списки джерел за темами / Rotation averaging

Добірка наукової літератури з теми "Rotation averaging"

Автор: Grafiati

Опубліковано: 10 грудня 2022

Оновлено: 6 вересня 2023

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Статті в журналах з теми "Rotation averaging"

Hartley, Richard, Jochen Trumpf, Yuchao Dai, and Hongdong Li. "Rotation Averaging." International Journal of Computer Vision 103, no. 3 (January 30, 2013): 267–305. http://dx.doi.org/10.1007/s11263-012-0601-0.

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Gao, Xiang, Lingjie Zhu, Zexiao Xie, Hongmin Liu, and Shuhan Shen. "Incremental Rotation Averaging." International Journal of Computer Vision 129, no. 4 (January 16, 2021): 1202–16. http://dx.doi.org/10.1007/s11263-020-01427-7.

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Chatterjee, Avishek, and Venu Madhav Govindu. "Robust Relative Rotation Averaging." IEEE Transactions on Pattern Analysis and Machine Intelligence 40, no. 4 (April 1, 2018): 958–72. http://dx.doi.org/10.1109/tpami.2017.2693984.

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Gao, Xiang, Jiazheng Luo, Kunqian Li, and Zexiao Xie. "Hierarchical RANSAC-Based Rotation Averaging." IEEE Signal Processing Letters 27 (2020): 1874–78. http://dx.doi.org/10.1109/lsp.2020.3031759.

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Reich, M., and C. Heipke. "GLOBAL ROTATION ESTIMATION USING WEIGHTED ITERATIVE LIE ALGEBRAIC AVERAGING." ISPRS Annals of Photogrammetry, Remote Sensing and Spatial Information Sciences II-3/W5 (August 20, 2015): 443–49. http://dx.doi.org/10.5194/isprsannals-ii-3-w5-443-2015.

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In this paper we present an approach for a weighted rotation averaging to estimate absolute rotations from relative rotations between two images for a set of multiple overlapping images. The solution does not depend on initial values for the unknown parameters and is robust against outliers. Our approach is one part of a solution for a global image orientation. Often relative rotations are not free from outliers, thus we use the redundancy in available pairwise relative rotations and present a novel graph-based algorithm to detect and eliminate inconsistent rotations. The remaining relative rotations are input to a weighted least squares adjustment performed in the Lie algebra of the rotation manifold <i>SO</i>(3) to obtain absolute orientation parameters for each image. Weights are determined using the prior information we derived from the estimation of the relative rotations. Because we use the Lie algebra of <i>SO</i>(3) for averaging no subsequent adaptation of the results has to be performed but the lossless projection to the manifold. We evaluate our approach on synthetic and real data. Our approach often is able to detect and eliminate all outliers from the relative rotations even if very high outlier rates are present. We show that we improve the quality of the estimated absolute rotations by introducing individual weights for the relative rotations based on various indicators. In comparison with the state-of-the-art in recent publications to global image orientation we achieve best results in the examined datasets.

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Dong, Yihong, Lunchen Xie, and Qingjiang Shi. "Efficient Algorithms for Rotation Averaging Problems." Proceedings of the ACM on Computer Graphics and Interactive Techniques 4, no. 1 (April 26, 2021): 1–16. http://dx.doi.org/10.1145/3451263.

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The rotation averaging problem is a fundamental task in computer vision applications. It is generally very difficult to solve due to the nonconvex rotation constraints. While a sufficient optimality condition is available in the literature, there is a lack of a fast convergent algorithm to achieve stationary points. In this paper, by exploring the problem structure, we first propose a block coordinate descent (BCD)-based rotation averaging algorithm with guaranteed convergence to stationary points. Afterwards, we further propose an alternative rotation averaging algorithm by applying successive upper-bound minimization (SUM) method. The SUM-based rotation averaging algorithm can be implemented in parallel and thus is more suitable for addressing large-scale rotation averaging problems. Numerical examples verify that the proposed rotation averaging algorithms have superior convergence performance as compared to the state-of-the-art algorithm. Moreover, by checking the sufficient optimality condition, we find from extensive numerical experiments that the proposed two algorithms can achieve globally optimal solutions.

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Liu, Yue, Tian Tian Ren, and Jin Shan Guo. "The Absolute Measurement Deviation of Rotational Averaging Mirror Surface Based on the Finite Element Method." Advanced Materials Research 998-999 (July 2014): 481–85. http://dx.doi.org/10.4028/www.scientific.net/amr.998-999.481.

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In order to obtain higher levels of surface form accuracy, it adopted rotational averaging method, analyzed the supporting position and rotation-angle deviation of the model via the finite element analysis technology. You can see that the mirror surface Peak Valley Value and Root Mean Square Value, increase with the increase of supporting and angle deviation. Thus, to realize high precision mirror surface detection, it should guarantee the supporting position and rotation-angle deviation of the model at the same time. The measurement precision of rotational averaging method absolute measurement can achieve one percent wavelength (λ=632.8nm),it is far superior to the other detection technology in absolute measurement.

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Brynte, Lucas, Viktor Larsson, José Pedro Iglesias, Carl Olsson, and Fredrik Kahl. "On the Tightness of Semidefinite Relaxations for Rotation Estimation." Journal of Mathematical Imaging and Vision 64, no. 1 (October 7, 2021): 57–67. http://dx.doi.org/10.1007/s10851-021-01054-y.

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AbstractWhy is it that semidefinite relaxations have been so successful in numerous applications in computer vision and robotics for solving non-convex optimization problems involving rotations? In studying the empirical performance, we note that there are few failure cases reported in the literature, in particular for estimation problems with a single rotation, motivating us to gain further theoretical understanding. A general framework based on tools from algebraic geometry is introduced for analyzing the power of semidefinite relaxations of problems with quadratic objective functions and rotational constraints. Applications include registration, hand–eye calibration, and rotation averaging. We characterize the extreme points and show that there exist failure cases for which the relaxation is not tight, even in the case of a single rotation. We also show that some problem classes are always tight given an appropriate parametrization. Our theoretical findings are accompanied with numerical simulations, providing further evidence and understanding of the results.

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Tweed, D., D. Sievering, H. Misslisch, M. Fetter, D. Zee, and E. Koenig. "Rotational kinematics of the human vestibuloocular reflex. I. Gain matrices." Journal of Neurophysiology 72, no. 5 (November 1, 1994): 2467–79. http://dx.doi.org/10.1152/jn.1994.72.5.2467.

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1. This series of three papers aims to describe the three-dimensional, kinematic input-output relations of the rotational vestibuloocular reflex (VOR) in humans, and to identify the functional advantages of these relations. In this first paper the response to sinusoidal rotation in darkness at 0.3 Hz, maximum speed 37.5%/s, was quantified by the use of the three-dimensional analogue of VOR gain: a 3 x 3 matrix where each element describes the dependence of one component (torsional, vertical, or horizontal) of eye velocity on one component of head velocity. 2. The three matrix elements indicating collinear gains (i.e., dependence of torsional eye velocity on torsional head velocity, vertical on vertical, and horizontal on horizontal) were smaller than the -1's required for optimal retinal image stabilization. Of these three the torsional gain was weakest: -0.37 for rotation about an earth-vertical axis, versus -0.73 and -0.64 for vertical and horizontal gains. Matrix elements indicating cross talk were mostly negligible. There was a tendency to leftward eye rotation in response to clockwise head motion, but this was not statistically significant. 3. VOR responses were compared for rotation about earth-vertical and earth-horizontal axes. The varying otolith input due to the rotation of the gravity vector relative to the head during earth-horizontal axis rotation made no difference to the collinear gains. 4. There were no consistent phase leads or lags except for a torsional phase lead of up to 10 degrees, usually more marked for clock-wise head rotation versus counterclockwise, and for oblique axis rotations versus purely torsional. 5. Torsional gain was magnified, averaging -0.52, when the torsional component of head rotation was only a small part of a predominantly vertical or horizontal rotation, i.e., when the axis of head rotation was near the frontal plane. Because most natural head rotations occur about such axes, the torsional VOR is probably somewhat stronger than the response to pure torsion would suggest. 6. The speed of eye rotation in response to a given stimulus varied widely among subjects, but the direction of rotation was much more uniform. For head rotations about oblique axes out of the frontal plane, there was a systematic misalignment of eye and head axes, with eye axes tilted toward the frontal plane. These findings can be explained on the basis of a strategy where the VOR balances the muscular effort of rotating the eyes against the cost of retinal slip.

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Reich, Martin, Michael Ying Yang, and Christian Heipke. "Global robust image rotation from combined weighted averaging." ISPRS Journal of Photogrammetry and Remote Sensing 127 (May 2017): 89–101. http://dx.doi.org/10.1016/j.isprsjprs.2017.01.011.

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Дисертації з теми "Rotation averaging"

Stander, Cornelius Johannes. "Condition monitoring of gearboxes operating under fluctuating load conditions." Thesis, University of Pretoria, 2005. http://hdl.handle.net/2263/25604.

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Conventional gearbox vibration monitoring techniques are based on the assumption that changes in the measured structural response are caused by deterioration in the condition of the gears in the gearbox. However, this assumption is not valid under fluctuating load conditions, since the fluctuating load will amplitude modulate the measured vibration signal and cause the rotational speed of the system to change. In general monitoring of machines subject to fluctuating load conditions is dealt with by considering the constant load conditions on gearboxes or during free rotational tests. The need to monitor the condition of large gearboxes in mineral mining equipment has attracted greater interest in order to improve asset management. An inherent need for signal processing techniques, with the ability to indicate degradation in gear condition, under fluctuating load conditions exist. Such techniques should enable the online monitoring of gearboxes that operate under fluctuating load conditions. A continued flow of up to date information should consequently be available for asset and production management. With this research, a load demodulation normalisation procedure was developed to remove the modulation caused by fluctuating load conditions, which obscures the detection of an incipient gear fault conditions. A rotation domain averaging technique is implemented which combines the ability of computer order tracking and time domain averaging to suppress the spectral smearing effect caused by the fluctuation in speed, as well as to suppress the amplitude of the vibration which is not synchronous with the rotation of the gear shaft. It is demonstrated that the instantaneous angular speed of a gearbox shaft can be utilised to monitor the condition of the gear on the shaft. The instantaneous angular speed response measurement is less susceptible to phase distortion introduced by the transmission path when compared to conventional gearbox casing vibration measurements. A phase domain averaging approach was developed to overcome the phase distortion effect of the transmission path under fluctuating load conditions. The load demodulation normalisation and rotation domain averaging signal processing procedures were applied to both the conventional gearbox casing vibration and instantaneous angular speed measurements prior to the calculation of a smoothed pseudo Wigner-Ville distribution of the data. Statistical parameters such as the energy ratio were calculated from the distribution. These parameters could be monotonically trended under different load conditions to indicate the degradation of gear conditions.
Thesis (PhD (Mechanical Engineering))--University of Pretoria, 2005.
Mechanical and Aeronautical Engineering
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Augier, Nicolas. "Contrôle adiabatique des systèmes quantiques." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLX042/document.

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Le but principal de la thèse est d'étudier les liens entre les singularités du spectre d'un Hamiltonien quantique contrôlé et les questions de contrôlabilité de l'équation Schr"odinger associée.La principale question qui se pose est de savoir comment contrôler une famille de systèmes quantiques dépendant des paramètres avec une entrée de commande commune. Ce problème de contrôlabilité d'ensemble est lié à la conception d'une stratégie de contrôle robuste lorsqu'un paramètre (une fréquence de résonance ou une inhomogénéité de champ de contrôle par exemple) est inconnu, et constitue un enjeu important pour les expérimentateurs.Grâce à l'étude des familles à un paramètre de Hamiltoniens et de leurs singularités génériques, nous donnons une stratégie de contrôle explicite pour le problème de contrôlabilité d'ensemble lorsque les conditions géométriques sur le spectre des Hamiltoniens sont satisfaites. Le résultat est basé sur la théorie de l'approximation adiabatique et sur la présence de courbes d'intersections coniques de valeurs propres du Hamiltonien contrôlé. La technique proposée fonctionne pour des systèmes évoluant à la fois dans des espaces de Hilbert de dimension finie et de dimension infinie. Nous étudions ensuite le problème de la contrôlabilité d'ensemble sous des hypothèses moins restrictives sur le spectre, à savoir la présence de singularités non-coniques. Sous des conditions génériques, de telles singularités n'apparaissent pas pour des systèmes uniques, mais apparaissent pour des familles de systèmes à un paramètre.Pour l'étude d'un système unique, nous nous concentrons sur une classe de courbes dans l'espace des contrôles, appelées les courbes non-mixantes (définies dans cite{Bos}), qui peuvent optimiser la dynamique adiabatique près des intersections coniques et non coniques. Elles sont liées à la géométrie des espaces propres du Hamiltonien contrôlé et l'approximation adiabatique possède une meilleure précision le long de celles-ci.Nous proposons d'étudier la compatibilité de l'approximation adiabatique avec la Rotating Wave Approximation. De telles approximations sont généralement combinées par les physiciens. Mon travail montre que cela ne se justifie pour les systèmes quantiques à dimensions finies que dans certaines conditions sur les échelles de temps. Nous étudions également les questions de contrôle d'ensemble dans ce cas
The main purpose of the thesis is to study the links between the singularities of the spectrum of a controlled quantum Hamiltonian and the controllability issues of the associated Schr"odinger equation.The principal issue that is developed is how to control a parameter-dependent family of quantum systems with a common control input. This problem of ensemble controllability is linked to the design of a robust control strategy when a parameter (a resonance frequency or a control field inhomogeneity for instance) is unknown, and is an important issue for experimentalists.Thanks to the study one-parametric families of Hamiltonians and their generic singularities, we give an explicit control strategy for the ensemble controllability problem when geometric conditions on the spectrum of the Hamiltonian are satisfied. The result is based on adiabatic approximation theory and on the presence of curves of conical eigenvalue intersections of the controlled Hamiltonian. The proposed technique works for systems evolving both in finite-dimensional and infinite-dimensional Hilbert spaces. Then we study the problem of ensemble controllability under less restrictive hypotheses on the spectrum, namely the presence of non-conical singularities. Under generic conditions such non-conical singularities are not present for single systems, but appear for one-parametric families of systems.For the study of a single system, we focus on a class of curves in the space of controls, called the non-mixing curves (defined in cite{Bos}), that can optimize the adiabatic dynamics near conical and non-conical intersections. They are linked to the geometry of the eigenspaces of the controlled Hamiltonian and the adiabatic approximation holds with higher precision along them.We propose to study the compatibility of the adiabatic approximation with the rotating wave approximation. Such approximations are usually done in cascade by physicists. My work shows that this is justified for finite dimensional quantum systems only under certain conditions on the time scales. We also study ensemble control issues in this case

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Honc, Lukáš. "Řádová analýza signálů." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2016. http://www.nusl.cz/ntk/nusl-240940.

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This master's thesis deals with order analysis. The first part of the thesis describes common methods for order analysis and methods for processing tacho and vibration signal. The second part contains a brief description of some open source tools for order analysis focusing on Sound and Vibration Measurement Suite (SVMS) package for LabVIEW by National Instruments company. The main purpose of the thesis has been designing and realization of own library for order analysis as a plugin for development tool LabVIEW. In the library, there are implemented methods for order analysis including basic functions for processing vibration and tacho signal. Their brief description with manual for its usage is in the third part of the thesis. In the last chapter, implemented functions are compared with those, which are implemented in SVMS by National Instruments, using both simulated and real data.

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Eggers, Berndt Leonard. "Dragline gear monitoring under fluctuating conditions." Diss., 2008. http://hdl.handle.net/2263/27587.

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The aim of this study is to apply computed order tracking with subsequent rotation domain averaging and statistical analysis to typical mining environments. Computed order tracking is a fault detection method that is unaffected by varying speed conditions often found in industry and has been proven effective in laboratory conditions. However in the controlled environment of a laboratory it is difficult to test the robustness of the order-tracking procedure. The need thus exists to adjust the order tracking procedure so that it will be effective in the mining environment. The procedure needs to be adjusted to function with a two pulse per revolution speed input. The drag gear aboard a dragline rotates in two directions. This gives the unique opportunity to observe the performance of the order tracking method in a bi-directional rotating environment allowing relationships between the results of each operating direction to be investigated. A monitoring station was set up aboard a dragline and data was captured twice daily for a period spanning one year. The data captured consisted of accelerometer and proximity sensor data. The key on the shaft triggers the proximity sensors allowing speed and direction to be measured. The rudimentary measured speed is interpolated using various documented speed interpolation techniques and by a newly developed speed interpolation technique. The interpolated speed is then used to complete the order tracking procedure that re-samples the vibration data with reference to the speed. The results indicate that computed order tracking can be successfully implemented in typical mining environments. Furthermore there is a distinct relationship between vibration data taken in both rotational directions: one direction provides a better indication of incipient failure. It is thus important not to choose a direction randomly when monitoring rotating machinery of this kind.
Dissertation (MEng)--University of Pretoria, 2008.
Mechanical and Aeronautical Engineering
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Chng, Shin-Fang. "Manifold Optimization for Robotic Perception." Thesis, 2021. https://hdl.handle.net/2440/133694.

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Robotic perception plays a crucial role in endowing a robot with human-like perception. This entails the ability to perceive and understand about the unstructured world from the sensor modalities, which would allow it to navigate autonomously through the environment to accomplish a task. Recent years have witnessed an unprecedented enthusiasm in robotic perception research as it promises a vast variety of compelling applications such as self-driving cars, drone technology, domestic robots, virtual and augmented reality. An essential task in robotic perception is state estimation. Generally, the task is concerned with inferring the state, such as the pose of an entity from observations in the form of inertial and/or visual measurements. Such an inverse problem can usually be formulated as an optimization problem, that seeks to select the best model from the imperfect sensor data. This thesis falls under the paradigm of state estimation, which aims to address the pose estimation and Simultaneous Localisation and Mapping (SLAM) problems. Solving pose estimation and SLAM problems typically involve estimating rotations. However, they naturally reside in the manifold space, i.e., the special orthogonal group SO(3), where Euclidean geometry with which we are familiar is no longer applicable. To reliably and accurately deploy state estimation algorithms for realworld applications, the underlying optimization problems must be able to properly address the inherent non-convexity of the manifold constraints, which is the main contribution of this thesis. Despite previous developments in state estimation, there remain unsatisfactorily solved problems, specifically, problems associated with outliers and large-scale input observations. This thesis is devoted to developing novel techniques to address these problems, in a manner that respects the manifold structure. The first part of the thesis is concerned with the sensor fusion problem in the context of INS/GPS fusion. While a ‘de-facto’ standard for the sensor fusion problem is the filtering technique, it is highly susceptible to outlier measurements. This thesis proposes a method to address the outlier-prone sensor fusion problem with a robust nonlinear optimization framework, underpinned by a novel pre-integration theory. An influential optimisation strategy in SLAM is rotation averaging, which aims to estimate the absolute orientation, given a set of relative orientations that are in general incompatible. It stems from the fact that if the rotations containing nonconvex constraints were solved first, then the remaining problem involving structure and translation would be easier to deal with. Inspired by Lagrangian duality, this thesis contributes a globally-optimal rotation averaging algorithm which is capable of handling large-scale input measurements much more efficiently. Finally, a specialised rotation averaging algorithm underpinned by a novel lifting technique, is proposed to resolve the fundamental ambiguity problem in markerbased SLAM. We demonstrate how to resolve the ambiguity problem by exploiting the special problem structure, which is then able to achieve a more accurate and/or complete marker-based SLAM.
Thesis (Ph.D.) -- University of Adelaide, School of Computer Science, 2021

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Chatterjee, Avishek. "Geometric Calibration and Shape Refinement for 3D Reconstruction." Thesis, 2015. https://etd.iisc.ac.in/handle/2005/4546.

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This thesis is a contribution towards the methods of 3D reconstruction in computer vision. Most of the 3D reconstruction methods are based on either the principle of triangulation or the principle of photometry. In this thesis, we investigate both of these approaches. Although, fundamentals of these principles are well known in computer vision, the recent availability of new hardware and easy access to the community photo collections have made it possible to investigate some of these methods in a newer context. This is because, the existing methods of 3D reconstruction are required to be modified to cope with the new types of data available by virtue of the current advancements. In this thesis, we propose some novel approaches for 3D reconstruction that improve or combine these methods in accordance with the current advancements. Broadly speaking, we address two themes in the area of 3D reconstruction: (a) Geometric calibration methods for localizing a set of cameras or scanners and (b) methods for refining 3D shapes obtained from depth scanners. First, we present a solution to the problem of relative-rotation averaging that occurs in the context of `structure-from-motion' (SfM). Our approach leverages the geometric Lie-group structure of 3D rotations and incorporates robustness into our estimation method in a principled fashion. Our approach is robust, efficient and can easily handle large-scale problems. The optimality of the method is also analyzed. This approach is the state-of-the-art and is now incorporated into many libraries for SfM. A related problem is one of averaging relative Euclidean motions which occurs in the context of 3D reconstruction using depth scans. We demonstrate the robustness and the efficacy of our approach for 3D reconstruction of real-world models. Second, we present two approaches to improve the quality of 3D scans obtained using commercial structured-light-stereo scanners, i.e. depth cameras. In the first instance, we carry out a sensitivity analysis of the noise inherent in such scanners. We demonstrate the use of this sensitivity analysis in improving the performance of 3D reconstruction pipelines. In the second instance, we exploit the complementary qualities of 3D estimates obtained from structured-light-stereo scanners and photometric methods. While structured-light-stereo scanners have coarse level _fidelity, photometric approaches contain _ne-scale 3D details. We develop a robust and accurate method of fusing these two approaches to combine the advantages of both these methods.

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Книги з теми "Rotation averaging"

Rigby, David L. Prediction of heat and mass transfer in a rotating ribbed coolant passage with a 180 degree turn. [Cleveland, Ohio]: National Aeronautics and Space Administration, Lewis Research Center, 1999.

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Zeitlin, Vladimir. Simplifying Primitive Equations: Rotating Shallow-Water Models and their Properties. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0003.

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In this chapter, one- and two-layer versions of the rotating shallow-water model on the tangent plane to the rotating, and on the whole rotating sphere, are derived from primitive equations by vertical averaging and columnar motion (mean-field) hypothesis. Main properties of the models including conservation laws and wave-vortex dichotomy are established. Potential vorticity conservation is derived, and the properties of inertia–gravity waves are exhibited. The model is then reformulated in Lagrangian coordinates, variational principles for its one- and two-layer version are established, and conservation laws are reinterpreted in these terms.

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Zeitlin, Vladimir. Rotating Shallow-Water Models with Full Coriolis Force. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0016.

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The derivation of the rotating shallow-water model by vertical averaging is carried on in the tangent plane approximation without neglecting the vertical component of the Coriolis force, and contributions of the vertical component of velocity in its horizontal component (‘non-traditional’ terms), leading to one- and two-layer ‘non-traditional’ rotating shallow-water models. A similar approach on the whole sphere encounters difficulties with conservation of angular momentum. Consistent ‘non-traditional’ rotating shallow-water equations in this case are obtained from the variational principle, which is first formulated for full primitive equations. It is shown that columnar motion hypothesis should be replaced by solid-angle motion one on the sphere. Two-layer non-traditional rotating shallow-water equations are used to analyse inertial instability of jets and compare the results with Chapter 10. It is shown that non-traditional terms can increase the growth rates up to 30% in some configurations and can also change the structure of the unstable modes.

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Zeitlin, Vladimir. Rotating Shallow-Water model with Horizontal Density and/or Temperature Gradients. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0014.

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The derivation of rotating shallow-water equations by vertical averaging and columnar motion hypothesis is repeated without supposing horizontal homogeneity of density/potential temperature. The so-called thermal rotating shallow-water model arises as the result. The model turns to be equivalent to gas dynamics with a specific equation of state. It is shown that it possesses Hamiltonian structure and can be derived from a variational principle. Its solution at low Rossby numbers should obey the thermo-geostrophic equilibrium, replacing the standard geostrophic equilibrium. The wave spectrum of the model is analysed, and the appearance of a whole new class of vortex instabilities of convective type, resembling asymmetric centrifugal instability and leading to a strong mixing at nonlinear stage, is demonstrated.

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Zeitlin, Vladimir. Geophysical Fluid Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.001.0001.

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The book explains the key notions and fundamental processes in the dynamics of the fluid envelopes of the Earth (transposable to other planets), and methods of their analysis, from the unifying viewpoint of rotating shallow-water model (RSW). The model, in its one- or two-layer versions, plays a distinguished role in geophysical fluid dynamics, having been used for around a century for conceptual understanding of various phenomena, for elaboration of approaches and methods, to be applied later in more complete models, for development and testing of numerical codes and schemes of data assimilations, and many other purposes. Principles of modelling of large-scale atmospheric and oceanic flows, and corresponding approximations, are explained and it is shown how single- and multi-layer versions of RSW arise from the primitive equations by vertical averaging, and how further time-averaging produces celebrated quasi-geostrophic reductions of the model. Key concepts of geophysical fluid dynamics are exposed and interpreted in RSW terms, and fundamentals of vortex and wave dynamics are explained in Part 1 of the book, which is supplied with exercises and can be used as a textbook. Solutions of the problems are available at Editorial Office by request. In-depth treatment of dynamical processes, with special accent on the primordial process of geostrophic adjustment, on instabilities in geophysical flows, vortex and wave turbulence and on nonlinear wave interactions follows in Part 2. Recently arisen new approaches in, and applications of RSW, including moist-convective processes constitute Part 3.

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Частини книг з теми "Rotation averaging"

Purkait, Pulak, Tat-Jun Chin, and Ian Reid. "NeuRoRA: Neural Robust Rotation Averaging." In Computer Vision – ECCV 2020, 137–54. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-58586-0_9.

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Fredriksson, Johan, and Carl Olsson. "Simultaneous Multiple Rotation Averaging Using Lagrangian Duality." In Computer Vision – ACCV 2012, 245–58. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-37431-9_19.

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Dai, Yuchao, Jochen Trumpf, Hongdong Li, Nick Barnes, and Richard Hartley. "Rotation Averaging with Application to Camera-Rig Calibration." In Computer Vision – ACCV 2009, 335–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12304-7_32.

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Dellaert, Frank, David M. Rosen, Jing Wu, Robert Mahony, and Luca Carlone. "Shonan Rotation Averaging: Global Optimality by Surfing $$SO(p)^n$$." In Computer Vision – ECCV 2020, 292–308. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-58539-6_18.

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Wilson, Kyle, David Bindel, and Noah Snavely. "When is Rotations Averaging Hard?" In Computer Vision – ECCV 2016, 255–70. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-46478-7_16.

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Hachaj, Tomasz, Marek R. Ogiela, Marcin Piekarczyk, and Katarzyna Koptyra. "Averaging Three-Dimensional Time-Varying Sequences of Rotations: Application to Preprocessing of Motion Capture Data." In Image Analysis, 17–28. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-59126-1_2.

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Klimina, Liubov, Ekaterina Shalimova, Marat Dosaev, Boris Lokshin, and Vitaly Samsonov. "Two-Frequency Averaging in the Problem of Motion of a Counter-Rotating Vertical Axis Wind Turbine." In Springer Proceedings in Mathematics & Statistics, 183–92. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-96598-7_15.

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Goody, R. M., and Y. L. Yung. "Band Models." In Atmospheric Radiation. Oxford University Press, 1989. http://dx.doi.org/10.1093/oso/9780195051346.003.0006.

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Radiative heating calculations in the atmosphere involve four distinguishable scales of frequency. First, there is the comparatively slow variation with frequency of the Planck function and its derivative with respect to temperature. About one-half of the radiation from a black body at terrestrial temperatures lies in a wave number range of 500 cm-1. The second scale is that of the unresolved contour of a band. For atmospheric molecules other than water vapor, the Planck function is effectively constant over a single band; water vapor bands must be divided into sections of the order of 50 cm-1 wide before this is so. For a rotating molecule, the next relevant scale of frequency is that of the spacing between rotation lines, approximately 1-5 cm-1. Finally, there is the monochromatic scale on which the absorption coefficient may be treated as a constant, and for which Lambert’s absorption law is obeyed: of the order of one-fifth of a line width ≃ 2 x 10-2 cm-1 for a gas at atmospheric pressure, down to 2 x 10-4cm-1 for a Doppler line in the middle atmosphere. This step takes us to a division of the frequency scale that, when taken together with other features of the calculation, presents a formidable computation task. Calculations can, of course, be made and are made at this limiting spectral resolution (line-by-line calculations) but, despite the fact that they are technically feasible with modern computers, such calculations are rare and are usually performed to provide a few reference cases. The great majority of investigations make use of averages over many lines, embracing spectral ranges that are small compared to a band contour (narrow-band models), or over complete bands (wide-band models), or over the entire thermal spectrum (emissivity models.) There are a number of reasons for working with spectral averages. Practical considerations are that important classes of laboratory measurements, and most atmospheric observations (e.g., satellite radiometry) are made with some spectral averaging, often comparable to that of narrow-band models.

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Kaimal, J. C., and J. J. Finnigan. "Flow Over Flat Uniform Terrain." In Atmospheric Boundary Layer Flows. Oxford University Press, 1994. http://dx.doi.org/10.1093/oso/9780195062397.003.0004.

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We start with the simplest of boundary layers, that over an infinite flat surface. Here we can assume the flow to be horizontally homogeneous. Its statistical properties are independent of horizontal position; they vary only with height and time. This assumption of horizontal homogeneity is essential in a first approach to understanding a process already complicated by such factors as the earth's rotation, diurnal and spatial variations in surface heating, changing weather conditions, and the coexistence of convective and shear-generated turbulence. It allows us to ignore partial derivatives of mean quantities along the horizontal axes (the advection terms) in the governing equations. Only ocean surfaces come close to the idealized infinite surface. Over land we settle for surfaces that are locally homogeneous, flat plains with short uniform vegetation, where the advection terms are small enough to be negligible. If, in addition to horizontal homogeneity, we can assume stationarity, that the statistical properties of the flow do not change with time, the time derivatives in the governing equations vanish as well. This condition cannot be realized in its strict sense because of the long-term variabilities in the atmosphere. But for most applications we can treat the process as a sequence of steady states. The major simplification it permits is the introduction of time averages that represent the properties of the process and not those of the averaging time. These two conditions clear the way for us to apply fluid dynamical theories and empirical laws developed from wind tunnel studies to the atmosphere's boundary layer. We can see why micrometeorologists in the 1950s and 1960s scoured the countryside for flat uniform sites. The experiments over the plains of Nebraska, Kansas, and Minnesota (USA), Kerang and Hay (Australia), and Tsimliansk (USSR) gave us the first inklings of universal behavior in boundary layer turbulence. Our concept of the atmospheric boundary layer (ABL) and its vertical extent has changed significantly over the last few decades.

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"Appendix B: Rotational Averaging of Cartesian Tensors." In Molecular Quantum Electrodynamics, 378–80. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2014. http://dx.doi.org/10.1002/9780470535462.app2.

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Тези доповідей конференцій з теми "Rotation averaging"

Chen, Yu, Ji Zhao, and Laurent Kneip. "Hybrid Rotation Averaging: A Fast and Robust Rotation Averaging Approach." In 2021 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2021. http://dx.doi.org/10.1109/cvpr46437.2021.01022.

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Yang, Shuqiang, Biao Li, and Zhilong Zhang. "Rotation Averaging Based PNP." In International Conference. New York, New York, USA: ACM Press, 2014. http://dx.doi.org/10.1145/2632856.2632869.

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Eriksson, Anders, Carl Olsson, Fredrik Kahl, and Tat-Jun Chin. "Rotation Averaging and Strong Duality." In 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2018. http://dx.doi.org/10.1109/cvpr.2018.00021.

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Parra, Alvaro, Shin-Fang Chng, Tat-Jun Chin, Anders Eriksson, and Ian Reid. "Rotation Coordinate Descent for Fast Globally Optimal Rotation Averaging." In 2021 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2021. http://dx.doi.org/10.1109/cvpr46437.2021.00428.

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Chng, Chee-Kheng, Alvaro Parra, Tat-Jun Chin, and Yasir Latif. "Monocular Rotational Odometry with Incremental Rotation Averaging and Loop Closure." In 2020 Digital Image Computing: Techniques and Applications (DICTA). IEEE, 2020. http://dx.doi.org/10.1109/dicta51227.2020.9363388.

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Hartley, Richard, Khurrum Aftab, and Jochen Trumpf. "L1 rotation averaging using the Weiszfeld algorithm." In 2011 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2011. http://dx.doi.org/10.1109/cvpr.2011.5995745.

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Ke, Fengkai, Jingming Xie, Youping Chen, and Dailin Zhang. "Globally Optimal Estimates for Rotation Averaging Problems." In 2014 6th International Conference on Intelligent Human-Machine Systems and Cybernetics (IHMSC). IEEE, 2014. http://dx.doi.org/10.1109/ihmsc.2014.176.

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Chatterjee, Avishek, and Venu Madhav Govindu. "Efficient and Robust Large-Scale Rotation Averaging." In 2013 IEEE International Conference on Computer Vision (ICCV). IEEE, 2013. http://dx.doi.org/10.1109/iccv.2013.70.

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Zhang, Ganlin, Viktor Larsson, and Daniel Barath. "Revisiting Rotation Averaging: Uncertainties and Robust Losses." In 2023 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2023. http://dx.doi.org/10.1109/cvpr52729.2023.01651.

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Li, Heng, Zhaopeng Cui, Shuaicheng Liu, and Ping Tan. "RAGO: Recurrent Graph Optimizer For Multiple Rotation Averaging." In 2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2022. http://dx.doi.org/10.1109/cvpr52688.2022.01533.

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Звіти організацій з теми "Rotation averaging"

Anderson, Gerald L., and Kalman Peleg. Precision Cropping by Remotely Sensed Prorotype Plots and Calibration in the Complex Domain. United States Department of Agriculture, December 2002. http://dx.doi.org/10.32747/2002.7585193.bard.

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This research report describes a methodology whereby multi-spectral and hyperspectral imagery from remote sensing, is used for deriving predicted field maps of selected plant growth attributes which are required for precision cropping. A major task in precision cropping is to establish areas of the field that differ from the rest of the field and share a common characteristic. Yield distribution f maps can be prepared by yield monitors, which are available for some harvester types. Other field attributes of interest in precision cropping, e.g. soil properties, leaf Nitrate, biomass etc. are obtained by manual sampling of the filed in a grid pattern. Maps of various field attributes are then prepared from these samples by the "Inverse Distance" interpolation method or by Kriging. An improved interpolation method was developed which is based on minimizing the overall curvature of the resulting map. Such maps are the ground truth reference, used for training the algorithm that generates the predicted field maps from remote sensing imagery. Both the reference and the predicted maps are stratified into "Prototype Plots", e.g. 15xl5 blocks of 2m pixels whereby the block size is 30x30m. This averaging reduces the datasets to manageable size and significantly improves the typically poor repeatability of remote sensing imaging systems. In the first two years of the project we used the Normalized Difference Vegetation Index (NDVI), for generating predicted yield maps of sugar beets and com. The NDVI was computed from image cubes of three spectral bands, generated by an optically filtered three camera video imaging system. A two dimensional FFT based regression model Y=f(X), was used wherein Y was the reference map and X=NDVI was the predictor. The FFT regression method applies the "Wavelet Based", "Pixel Block" and "Image Rotation" transforms to the reference and remote images, prior to the Fast - Fourier Transform (FFT) Regression method with the "Phase Lock" option. A complex domain based map Yfft is derived by least squares minimization between the amplitude matrices of X and Y, via the 2D FFT. For one time predictions, the phase matrix of Y is combined with the amplitude matrix ofYfft, whereby an improved predicted map Yplock is formed. Usually, the residuals of Y plock versus Y are about half of the values of Yfft versus Y. For long term predictions, the phase matrix of a "field mask" is combined with the amplitude matrices of the reference image Y and the predicted image Yfft. The field mask is a binary image of a pre-selected region of interest in X and Y. The resultant maps Ypref and Ypred aremodified versions of Y and Yfft respectively. The residuals of Ypred versus Ypref are even lower than the residuals of Yplock versus Y. The maps, Ypref and Ypred represent a close consensus of two independent imaging methods which "view" the same target. In the last two years of the project our remote sensing capability was expanded by addition of a CASI II airborne hyperspectral imaging system and an ASD hyperspectral radiometer. Unfortunately, the cross-noice and poor repeatability problem we had in multi-spectral imaging was exasperated in hyperspectral imaging. We have been able to overcome this problem by over-flying each field twice in rapid succession and developing the Repeatability Index (RI). The RI quantifies the repeatability of each spectral band in the hyperspectral image cube. Thereby, it is possible to select the bands of higher repeatability for inclusion in the prediction model while bands of low repeatability are excluded. Further segregation of high and low repeatability bands takes place in the prediction model algorithm, which is based on a combination of a "Genetic Algorithm" and Partial Least Squares", (PLS-GA). In summary, modus operandi was developed, for deriving important plant growth attribute maps (yield, leaf nitrate, biomass and sugar percent in beets), from remote sensing imagery, with sufficient accuracy for precision cropping applications. This achievement is remarkable, given the inherently high cross-noice between the reference and remote imagery as well as the highly non-repeatable nature of remote sensing systems. The above methodologies may be readily adopted by commercial companies, which specialize in proving remotely sensed data to farmers.

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