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Morphable 3D models from video

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1 Author(s)
W. Brand ; Mitsubishi Electr. Res. Labs, Cambridge, MA, USA

Nonrigid 3D structure-from-motion and 2D optical flow can both be formulated as tensor factorization problems. The two problems can be made equivalent through a noisy affine transform, yielding a combined nonrigid structure-from-intensities problem that we solve via structured matrix decompositions. Often the preconditions for this factorization are violated by image noise and deficiencies of the data visa-vis the sample complexity of the problem. Both issues are remediated with careful use of rank constraints, norm constraints, and integration over uncertainty in the intensity values, yielding novel solutions for SVD under uncertainty, factorization under uncertainty, nonrigid factorization, and subspace optical flow. The resulting integrated algorithm can track and reconstruct in 3D nonrigid surfaces having very little texture, for example the smooth parts of the face. Working with low-resolution low-texture "found video," these methods produce good tracking and 3D reconstruction results where prior algorithms fail.

Published in:

Computer Vision and Pattern Recognition, 2001. CVPR 2001. Proceedings of the 2001 IEEE Computer Society Conference on  (Volume:2 )

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