Trust No One: Low Rank Matrix Factorization Using Hierarchical RANSAC

Magnus Oskarsson; Kenneth Batstone; Kalle Astrom

CVPR 2016poster9 citations

Trust No One: Low Rank Matrix Factorization Using Hierarchical RANSAC

Magnus Oskarsson, Kenneth Batstone, Kalle Astrom

Abstract

In this paper we present a system for performing low rank matrix factorization. Low-rank matrix factorization is an essential problem in many areas including computer vision, with applications in e.g. affine structure-from-motion, photometric stereo, and non-rigid structure from motion. We specifically target structured data patterns, with outliers and large amounts of missing data. Using recently developed characterizations of minimal solutions to matrix factorization problems with missing data, we show how these can be used as building blocks in a hierarchical system that performs bootstrapping on all levels. This gives an robust and fast system, with state-of-the-art performance.

BibTeX

@inproceedings{cvpr2016_trustnoonelowran,
  title = {Trust No One: Low Rank Matrix Factorization Using Hierarchical RANSAC},
  author = {Magnus Oskarsson and Kenneth Batstone and Kalle Astrom},
  booktitle = {CVPR 2016},
  year = {2016}
}