학술논문

Generalized Projection-Based M-Estimator
Document Type
Periodical
Source
IEEE Transactions on Pattern Analysis and Machine Intelligence IEEE Trans. Pattern Anal. Mach. Intell. Pattern Analysis and Machine Intelligence, IEEE Transactions on. 34(12):2351-2364 Dec, 2012
Subject
Computing and Processing
Bioengineering
Estimation
Noise measurement
Robustness
Computational modeling
Robust estimation
Covariance matrix
Generalized projection-based M-estimator
robust estimation
heteroscedasticity
RANSAC
Language
ISSN
0162-8828
2160-9292
1939-3539
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.