Shape and motion from image streams under orthography: a factorization method
International Journal of Computer Vision
Self-calibration of an affine camera from multiple views
International Journal of Computer Vision
Euclidean Shape and Motion from Multiple Perspective Views by Affine Iterations
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Paraperspective Factorization Method for Shape and Motion Recovery
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Sequential Factorization Method for Recovering Shape and Motion From Image Streams
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Multibody Factorization Method for Independently Moving Objects
International Journal of Computer Vision
Factorization Methods for Projective Structure and Motion
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
Separability of Pose and Expression in Facial Tracking and Animation
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
A Direct Method for 3D Factorization of Nonrigid Motion Observed in 2D
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
Uncalibrated Perspective Reconstruction of Deformable Structures
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
Non-Rigid Metric Shape and Motion Recovery from Uncalibrated Images Using Priors
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1
Structure and motion of nonrigid object under perspective projection
Pattern Recognition Letters
Motion segmentation with missing data using power factorization and GPCA
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Non-rigid face modelling using shape priors
AMFG'05 Proceedings of the Second international conference on Analysis and Modelling of Faces and Gestures
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The problem of 3D reconstruction of nonrigid objects from uncalibrated image sequences is addressed in the paper. Our method assumes that the nonrigid object is composed of rigid part and deformation part. We first recover the affine structure of the object and separate the rigid features from the deformation ones. Then stratify the structure from affine to Euclidean space by virtue of the rigid features. The novelty of the paper lies in two aspects. First, we propose a deformation weight constraint to the problem and prove that the recovered shape bases and shapes are transformation invariant under this constraint. Second, we propose a constrained power factorization (CPF) algorithm to recover the deformation structure in affine space. The algorithm overcomes the limitations of previous SVD-based methods and can work with missing data in the tracking matrix. Extensive experiments on synthetic data and real sequences validate the proposed method and show improvements over existing solutions.