NDLI: Shape matching via quotient spaces

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Shape matching via quotient spaces

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Shape matching via quotient spaces

Content Provider	ACM Digital Library
Author	Ovsjanikov, Maks Mérigot, Quentin Pătrăucean, Viorica Guibas, Leonidas
Abstract	We introduce a novel method for non-rigid shape matching, designed to address the symmetric ambiguity problem present when matching shapes with intrinsic symmetries. Unlike the majority of existing methods which try to overcome this ambiguity by sampling a set of landmark correspondences, we address this problem directly by performing shape matching in an appropriate quotient space, where the symmetry has been identified and factored out. This allows us to both simplify the shape matching problem by matching between subspaces, and to return multiple solutions with equally good dense correspondences. Remarkably, both symmetry detection and shape matching are done without establishing any landmark correspondences between either points or parts of the shapes. This allows us to avoid an expensive combinatorial search present in most intrinsic symmetry detection and shape matching methods. We compare our technique with state-of-the-art methods and show that superior performance can be achieved both when the symmetry on each shape is known and when it needs to be estimated.
Starting Page	1
Ending Page	11
Page Count	11
File Format	PDF
ISSN	01677055 14678659
DOI	10.1111/cgf.12167
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2013-07-03
Publisher Place	Goslar
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design Computer Networks and Communications

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