Shape and motion from image streams under orthography: a factorization method
International Journal of Computer Vision
Multiple view geometry in computer visiond
Multiple view geometry in computer visiond
International Journal of Computer Vision
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
Rank Conditions on the Multiple-View Matrix
International Journal of Computer Vision
Optical Flow Estimation and Segmentation of Multiple Moving Dynamic Textures
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
Two-View Multibody Structure from Motion
International Journal of Computer Vision
Implicit Non-Rigid Structure-from-Motion with Priors
Journal of Mathematical Imaging and Vision
Perspective Nonrigid Shape and Motion Recovery
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part I
International Journal of Computer Vision
Non-rigid metric reconstruction from perspective cameras
Image and Vision Computing
3D reconstruction of a moving point from a series of 2D projections
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
Reconstruction of non-rigid 3D shapes from stereo-motion
Pattern Recognition Letters
Automatic estimation of the number of deformation modes in non-rigid SfM with missing data
SCIA'11 Proceedings of the 17th Scandinavian conference on Image analysis
SAMT'10 Proceedings of the 5th international conference on Semantic and digital media technologies
Monocular Template-based Reconstruction of Inextensible Surfaces
International Journal of Computer Vision
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We consider the problem of nonrigid shape and motion recovery from point correspondences in multiple perspective views. It is well known that the constraints among multiple views of a rigid shape are multilinear on the image points and can be reduced to bilinear (epipolar) and trilinear constraints among two and three views, respectively. In this paper, we generalize this classic result by showing that the constraints among multiple views of a nonrigid shape consisting of K shape bases can be reduced to multilinear constraints among K + ⌈ (K + 1)/2⌉, ⋯, 2K + 1 views. We then present a closed form solution to the reconstruction of a nonrigid shape consisting of two shape bases. We show that point correspondences in five views are related by a nonrigid quintifocal tensor, from which one can linearly compute nonrigid shape and motion. We also demonstrate the existence of intrinsic ambiguities in the reconstruction of camera translation, shape coefficients and shape bases. Examples show the effectiveness of our method on nonrigid scenes with significant perspective effects.