Equi-affine invariant geometries of articulated objects

Dan Raviv, Alexander M. Bronstein, Michael M. Bronstein, Ron Kimmel, Nir Sochen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We introduce an (equi-)affine invariant geometric structure by which surfaces that go through squeeze and shear transformations can still be properly analyzed. The definition of an affine invariant metric enables us to evaluate a new form of geodesic distances and to construct an invariant Laplacian from which local and global diffusion geometry is constructed. Applications of the proposed framework demonstrate its power in generalizing and enriching the existing set of tools for shape analysis.

Original languageEnglish
Title of host publicationOutdoor and Large-Scale Real-World Scene Analysis - 15th International Workshop on Theoretical Foundations of Computer Vision, Revised Selected Papers
Pages177-190
Number of pages14
DOIs
StatePublished - 2012
Event15th International Workshop on Theoretical Foundations of Computer Vision - Dagstuhl Castle, Germany
Duration: 26 Jun 20111 Jul 2011

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7474 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference15th International Workshop on Theoretical Foundations of Computer Vision
Country/TerritoryGermany
CityDagstuhl Castle
Period26/06/111/07/11

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