A Direct Method for 3D Factorization of Nonrigid Motion Observed in 2D
| Citation: |
* Brand, M., "A Direct Method for 3D Factorization of Nonrigid Motion Observed in 2D", IEEE International Conference on Computer Vision and Pattern Recognition (CVPR), June 2005 (CVPR 2005) |
| MERL Report: | TR2005-052 |
The nonrigid structure-from-motion (NSFM) problem seeks to recover a
sequence of 3D shapes, shape articulation parameters, and camera view
matrices from 2D correspondence data. Factorization approaches relate the
principal subspaces of the data matrix to the desired parameters through a
linear corrective transform. Current methods for finding this transform
are heuristic or depend on strong assumptions about the data. We show how
to solve for this transform by directly minimizing deviation from the
required orthogonal structure of the projection/articulation matrix. The
solution is exact for noiseless data and an order of magnitude more
accurate than state-of-the-art methods for noisy data.
