Title
Nonnegative Matrix Underapproximation for Robust Multiple Model Fitting
Abstract
In this work, we introduce a highly efficient algorithm to address the nonnegative matrix underapproximation (NMU) problem, i.e., nonnegative matrix factorization (NMF) with an additional underapproximation constraint. NMU results are interesting as, compared to traditional NMF, they present additional sparsity and part-based behavior, explaining unique data features. To show these features in practice, we first present an application to the analysis of climate data. We then present an NMU-based algorithm to robustly fit multiple parametric models to a dataset. The proposed approach delivers state-of-the-art results for the estimation of multiple fundamental matrices and homographies, outperforming other alternatives in the literature and exemplifying the use of efficient NMU computations.
Year
DOI
Venue
2017
10.1109/CVPR.2017.77
2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)
Keywords
DocType
Volume
nonnegative matrix underapproximation problem,nonnegative matrix factorization,multiple parametric models,multiple fundamental matrices,homographies,NMU,NMF,3D point clouds,climate data analysis
Conference
abs/1611.01408
Issue
ISSN
ISBN
1
1063-6919
978-1-5386-0458-8
Citations 
PageRank 
References 
1
0.35
15
Authors
2
Name
Order
Citations
PageRank
Mariano Tepper16812.80
Guillermo Sapiro2148131051.92