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Nonrigid Structure from Motion in Trajectory Space
2008
Neural Information Processing Systems
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In contrast, we propose that the evolving 3D structure be described by a linear combination of basis trajectories. ...
Existing approaches to nonrigid structure from motion assume that the instantaneous 3D shape of a deforming object is a linear combination of basis shapes, which have to be estimated anew for each video ...
The motion capture data used in this project was obtained from http://mocap.cs.cmu.edu. ...
dblp:conf/nips/AkhterSKK08
fatcat:ippmpmn7cvcopdabozbwrqrlui
Nonrigid Structure from Motion in Trajectory Space
2018
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In contrast, we propose that the evolving 3D structure be described by a linear combination of basis trajectories. ...
Existing approaches to nonrigid structure from motion assume that the instantaneous 3D shape of a deforming object is a linear combination of basis shapes, which have to be estimated anew for each video ...
The motion capture data used in this project was obtained from http://mocap.cs.cmu.edu. ...
doi:10.1184/r1/6556985.v1
fatcat:tigefongk5drdeoinw5o2my5pi
Trajectory Space: A Dual Representation for Nonrigid Structure from Motion
2011
IEEE Transactions on Pattern Analysis and Machine Intelligence
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We further show that the temporal smoothness in 3D trajectories alone can be used for recovering nonrigid structure from a moving camera. ...
In contrast, we propose a dual approach to describe the evolving 3D structure in trajectory space by a linear combination of basis trajectories. ...
ACKNOWLEDGMENTS This research was partly supported by a grant from the Higher Education Commission of Pakistan. The authors acknowledge Fernando De La Torre for useful discussions. ...
doi:10.1109/tpami.2010.201
pmid:21079275
fatcat:gbhjadyblfc7nlhxpgx5zntmza
The visual perception of rigid motion from constant flow fields
1996
Perception & Psychophysics
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For both types of display,the nonrigidity detectable from the first-order spatiotemporal structure of the motion sequence was much more salient than the deformation detectable only from the higher order ...
The depicted structural deformations were of two types: (1) those with nonparallel image trajectories that are detectable from the first-order spatiotemporal relations between pairs of views; and (2) those ...
of structure from motion. ...
doi:10.3758/bf03213099
pmid:8710446
fatcat:7vgmr5n2qjbk3ce7cnbrhb4hxi
Visual information about rigid and nonrigid motion: A geometric analysis
1982
Journal of Experimental Psychology: Human Perception and Performance
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Unlike other approaches, the analysis is based on the geometric relations among a set of trajectories defined over an extended region of space-time, Two experiments are reported in which observers viewed ...
A mathematical analysis is presented that attempts to describe the available visual information about rigid and nonrigid motion and the three-dimensional structure of rigidly moving objects. ...
All of the observers insisted that their responses were based on the phenomenal impression of rigid or nonrigid motion in three-dimen-sional space, and it was clear from their descriptions that their ability ...
doi:10.1037//0096-1523.8.2.238
pmid:6461720
fatcat:tfmuyerfm5gfpjtp5etfn77oxi
Visual information about rigid and nonrigid motion: A geometric analysis
1982
Journal of Experimental Psychology: Human Perception and Performance
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Unlike other approaches, the analysis is based on the geometric relations among a set of trajectories defined over an extended region of space-time, Two experiments are reported in which observers viewed ...
A mathematical analysis is presented that attempts to describe the available visual information about rigid and nonrigid motion and the three-dimensional structure of rigidly moving objects. ...
All of the observers insisted that their responses were based on the phenomenal impression of rigid or nonrigid motion in three-dimen-sional space, and it was clear from their descriptions that their ability ...
doi:10.1037/0096-1523.8.2.238
fatcat:mpzrgmhs4vci5bfs7sg634p5iq
Multiview structure from motion in trajectory space
2011
2011 International Conference on Computer Vision
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Proposed factorization is analogous to rank-3 factorization of rigid structure from motion problem, in transfromed space. ...
Recently it was proposed that these regularities can be parameterized by assuming that the nonrigid structure lies in a small dimensional trajectory space. ...
In contrast to nonrigid structure from motion, multiview stereo methods and rigid structure from motion, work on the basic principle of triangulation i.e. a 3D point should lie at the intersection of the ...
doi:10.1109/iccv.2011.6126529
dblp:conf/iccv/ZaheerABMK11
fatcat:4e2qdyyoebhu3jcdyv5f53x5du
Unraveling the Effect of Spatial Resolution and Scan Acceleration on 3D Image-Based Navigators for Respiratory Motion Tracking in Coronary MR Angiography
[article]
2019
arXiv
pre-print
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Ground truth translational and nonrigid motion information is derived from these datasets. ...
Purpose: To study the accuracy of motion information extracted from beat-to-beat 3D image-based navigators (3D iNAVs) collected using a variable-density cones trajectory with different combinations of ...
Note that as the resolution of the trajectory decreases, f 2 (the sampling density in k-space periphery) increases, which results in smaller acceleration factors. k-space data for the different undersampled ...
arXiv:1910.12185v1
fatcat:atzsoxl5ind4hldvr7jjo26nsm
Technical note: Accelerated nonrigid motion-compensated isotropic 3D coronary MR angiography
2017
Medical Physics (Lancaster)
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ACKNOWLEDGMENTS The authors acknowledge financial support from: (1) ...
This trajectory introduces minimal aliasing artifacts and fully samples the central k-space region, thereby effectively reducing sensitivity to motion artifacts from residual breathing and cardiac motion ...
motion in k-space; 2) These highly undersampled bins are reconstructed, by solving a TV-based CS problem using MFISTA, and used to estimate 3D bin-to-bin nonrigid motion. ...
doi:10.1002/mp.12663
pmid:29131353
pmcid:PMC5814733
fatcat:7zysugafizf2ne7dfuvwt7defu
Sparse Approximation for Nonrigid Structure from Motion
2015
Journal of Robotics
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This paper introduces applying a novel sparse approximation method into solving nonrigid structure from motion problem in trajectory space. ...
This paper not only presents a new thought, but also gives out a simple but effective solution for the nonrigid structure from motion problem. ...
Acknowledgments This work is supported by the National Natural Science Foundation of China (61272311) and is also supported in part by the Natural Science Foundation of Zhejiang Province (LY13F020042, ...
doi:10.1155/2015/435385
fatcat:s4jfrkkxl5h2hlyinomjbcp7dq
Monocular discrimination of rigidly and nonrigidly moving objects
1997
Perception & Psychophysics
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Nonrigid transformations under which every three successive views had a rigid interpretation were not discriminable from rigid transformations, except in cases where the distortions were very large. ...
Many experiments show that the visual system is capable of extracting useful information about 3-D structure from these retinal changes. ...
To prevent subjects from using the 3-D structure or the motion to perform the task, we varied the 3-D structure from trial to trial and, except in Experiment 2A, the motion was made highly unpredictable ...
doi:10.3758/bf03214213
pmid:9401460
fatcat:wk3pw4les5hsrpueysgf2cdst4
Discerning nonrigid 3D shapes from motion cues
2011
Proceedings of the National Academy of Sciences of the United States of America
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. optic-flow | structure-from-motion ...
Surprisingly, the abilities of observers to correctly infer nonrigid volumetric shapes from motion cues have not been measured, and structure from motion models predominantly use variants of rigidity assumptions ...
Surprisingly, the abilities of observers to correctly infer nonrigid volumetric shapes from motion cues have not been measured, and structure from motion models predominantly use variants of rigidity assumptions ...
doi:10.1073/pnas.1016211108
pmid:21205884
pmcid:PMC3029717
fatcat:dgdf2i3rk5egffak4w25bv7nmu
3D image-based navigators for coronary MR angiography
2016
Magnetic Resonance in Medicine
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Such iNAVs enabled direct measurement of localized motion for nonrigid motion correction in free-breathing whole-heart CMRA. ...
Methods-To monitor motion in all regions of the heart during a free-breathing scan, a variabledensity (VD) cones trajectory was designed to collect a 3D iNAV every heartbeat in 176 ms with 4.4 mm isotropic ...
A total of 36 candidate translational motion trajectories result from the various ROIs, and for completeness, we include an additional zero-valued motion trajectory to represent the motion of static structures ...
doi:10.1002/mrm.26269
pmid:27174590
pmcid:PMC5849773
fatcat:eu5nyqgtgzhp3f4n65wdgpvf5m
Multibody Nonrigid Structure from Motion Segmentation Based on Sparse Subspace Clustering
2021
International Journal of Digital Multimedia Broadcasting
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However, affine matrix learning is not very effective for segmenting multibody nonrigid structure from motion. ...
To improve the segmentation performance and efficiency of the SSC algorithm in segmenting multiple nonrigid motions, we propose an algorithm that deploys the hierarchical clustering to discover the inner ...
Introduction Nonrigid structure from motion (NRSFM) is a hot topic in the field of computer vision. ...
doi:10.1155/2021/6686179
fatcat:4vulqkubvbdo5az7yyadvpdise
A Factorization-Based Approach for Articulated Nonrigid Shape, Motion and Kinematic Chain Recovery From Video
2008
IEEE Transactions on Pattern Analysis and Machine Intelligence
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Recovering articulated shape and motion, especially human body motion, from video is a challenging problem with a wide range of applications in medical study, sport analysis, animation, and so forth. ...
The proposed approach is based on our modeling of the articulated nonrigid motion as a set of intersecting motion subspaces. A motion subspace is the linear subspace of the trajectories of an object. ...
The kinematic structure is inferred from the trajectories. ...
doi:10.1109/tpami.2007.70739
pmid:18369255
fatcat:wvf2asld4japjmrpowc6xv7ubq
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