Shape Matching via Quotient Spaces

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...

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Veröffentlicht in:Computer graphics forum Jg. 32; H. 5; S. 1 - 11
Hauptverfasser: Ovsjanikov, Maks, Mérigot, Quentin, Pătrăucean, Viorica, Guibas, Leonidas
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Oxford, UK Blackwell Publishing Ltd 01.08.2013
Wiley
Schlagworte:
Ambiguity
Combinatorial analysis
Computational Geometry
Computer graphics
Computer Science
I.3.3 [Computer Graphics]:-Shape Analysis
Information management
Landmarks
Matching
Quotients
Sampling
Studies
Symmetry
Symmetry detection
United States > US
shape maps
symmetry
Shape matching
ISSN:0167-7055, 1467-8659
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung: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.
Bibliographie:ArticleID:CGF12167
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ISSN:0167-7055
1467-8659
DOI:10.1111/cgf.12167