Title
Generalized projection-based M-estimator.
Abstract
We propose a novel robust estimation algorithm—the generalized projection-based M-estimator (gpbM), which does not require the user to specify any scale parameters. The algorithm is general and can handle heteroscedastic data with multiple linear constraints for single and multicarrier problems. The gpbM has three distinct stages—scale estimation, robust model estimation, and inlier/outlier dichotomy. In contrast, in its predecessor pbM, each model hypotheses was associated with a different scale estimate. For data containing multiple inlier structures with generally different noise covariances, the estimator iteratively determines one structure at a time. The model estimation can be further optimized by using Grassmann manifold theory. We present several homoscedastic and heteroscedastic synthetic and real-world computer vision problems with single and multiple carriers.
Year
DOI
Venue
2012
10.1109/TPAMI.2012.52
IEEE Trans. Pattern Anal. Mach. Intell.
Keywords
Field
DocType
scale parameter,novel robust estimation algorithm,different scale estimate,multiple inlier structure,scale estimation,model estimation,generalized projection-based m-estimator,model hypothesis,robust model estimation,multiple carrier,multiple linear constraint,estimation theory,computational modeling,heteroscedasticity,computer vision,estimation,noise measurement,robustness,covariance matrix,ransac
Kernel (linear algebra),M-estimator,Pattern recognition,Computer science,RANSAC,Outlier,Robustness (computer science),Artificial intelligence,Covariance matrix,Estimation theory,Estimator
Journal
Volume
Issue
ISSN
34
12
1939-3539
Citations 
PageRank 
References 
26
0.95
29
Authors
3
Name
Order
Citations
PageRank
Sushil Mittal1895.45
Saket Anand2879.36
Peter Meer39531835.61