Robust Statistics Over Riemannian Manifolds : Applications in Computer Vision

Language: English

Published by LAP LAMBERT Academic Publishing, 2011

3843388083 / 9783843388085

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nach der Bestellung gedruckt Neuware - Printed after ordering - The nonlinear nature of many vision tasks involves analysis over nonlinear spaces embedded in higher dimensional Euclidean spaces. Such manifolds can be studied using the theory of differential geometry. Here we develop two algorithms which can be applied over manifolds. The nonlinear mean shift algorithm is a generalization of the popular mean shift, a feature space analysis method for vector spaces. Nonlinear mean shift can be applied to any Riemannian manifold and is provably convergent to the local maxima of an appropriate kernel density. This algorithm is used for motion segmentation with different motion models and for the filtering of complex image data. The projection based M-estimator is a robust regression algorithm which does not require a user supplied estimate of the level of noise corrupting the inliers. We build on the connections between kernel density estimation and M-estimators to develop data driven rules for scale estimation. The method can be generalized to handle heteroscedastic data and subspace estimation. The results of using pbM for affine motion estimation, fundamental matrix estimation and multibody factorization are presented.

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Title
Robust Statistics Over Riemannian Manifolds : Applications in Computer Vision
Author
Raghav Subbarao
Publisher
LAP LAMBERT Academic Publishing
Publication year
2011
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3843388083
ISBN 13
9783843388085
Item weight
215 grams
Dimensions
220x150x8 mm

AHA-BUCH GmbH

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