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A Low-Dimensional Representation for Robust Partial Isometric Correspondences Computation
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2014 (English)In: Graphical Models, ISSN 1524-0703, E-ISSN 1524-0711, Vol. 76, no 2, 70-85 p.Article in journal (Refereed) PublishedText
Abstract [en]

Intrinsic shape matching has become the standard approach for pose invariant correspondence estimation among deformable shapes. Most existing approaches assume global consistency. While global isometric matching is well understood, only a few heuristic solutions are known for partial matching. Partial matching is particularly important for robustness to topological noise, which is a common problem in real-world scanner data. We introduce a new approach to partial isometric matching based on the observation that isometries are fully determined by local information: a map of a single point and its tangent space fixes an isometry. We develop a new representation for partial isometric maps based on equivalence classes of correspondences between pairs of points and their tangent-spaces. We apply our approach to register partial point clouds and compare it to the state-of-the-art methods, where we obtain significant improvements over global methods for real-world data and stronger guarantees than previous partial matching algorithms.

Place, publisher, year, edition, pages
Elsevier, 2014. Vol. 76, no 2, 70-85 p.
National Category
Computer Science
Research subject
Computer Science; SRA - E-Science (SeRC)
Identifiers
URN: urn:nbn:se:kth:diva-184824DOI: 10.1016/j.gmod.2013.11.003ISI: 000347018500006ScopusID: 2-s2.0-84892751056OAI: oai:DiVA.org:kth-184824DiVA: diva2:916921
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QC 20160405

Available from: 2016-04-05 Created: 2016-04-05 Last updated: 2016-04-05Bibliographically approved

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Weinkauf, Tino
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