Spectral SFM
Spectral SFM
Spectral SFM (ICCV 03)
Spectral Partitioning for Structure From Motion, D. Steedly, I. Essa, and Frank Dellaert, IEEE International Conference on Computer Vision (ICCV), 2003
We propose a spectral partitioning approach for large-scale optimization problems, specifically structure from motion. In structure from motion, partitioning methods reduce the problem into smaller and better conditioned subproblems which can be efficiently optimized. Our partitioning method uses only the Hessian of the reprojection error and its eigenvectors. We show that partitioned systems that preserve the eigenvectors corresponding to small eigenvalues result in lower residual error when optimized. We create partitions by clustering the entries of the eigenvectors of the Hessian corresponding to small eigenvalues. This is a more general technique than relying on domain knowledge and heuristics
such as bottom-up structure from motion approaches. Simultaneously, it takes advantage of more information than generic matrix partitioning algorithms.
Saturday, November 1, 2003