Refining shape correspondence for similar objects using strain

L. Phan, A. K. Knutsen, P. V. Bayly, Sandra Rugonyi, C. Grimm

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

Several applications - for example, study of biological tissue movement and organ growth - require shape correspondence with a physical basis, especially for shapes or regions lacking distinctive features. For this purpose, we propose the adaptation of mechanical strain, a well-established physical measure for deformation, to the problem of constructing shape correspondence and measuring similarity between non-rigid shapes. In this paper, we demonstrate how to calculate strain for a 2D surface embedded in 3D. We then adjust the correspondence between two surfaces so that the strain varies smoothly across the deformed surface (by minimizing the change in strain). The final strain on the deformed surface can be used as a measure of shape similarity.

Original languageEnglish (US)
Title of host publicationEurographics Workshop on 3D Object Retrieval, 3DOR 2011 - co-event of Eurographics 2011
PublisherEurographics Association
Pages17-24
Number of pages8
ISBN (Electronic)9783905674316
DOIs
StatePublished - 2011
Event4th Eurographics Workshop on 3D Object Retrieval, 3DOR 2011 - Llandudno, United Kingdom
Duration: Apr 10 2011 → …

Other

Other4th Eurographics Workshop on 3D Object Retrieval, 3DOR 2011
CountryUnited Kingdom
CityLlandudno
Period4/10/11 → …

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Computer Vision and Pattern Recognition
  • Human-Computer Interaction

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    Phan, L., Knutsen, A. K., Bayly, P. V., Rugonyi, S., & Grimm, C. (2011). Refining shape correspondence for similar objects using strain. In Eurographics Workshop on 3D Object Retrieval, 3DOR 2011 - co-event of Eurographics 2011 (pp. 17-24). Eurographics Association. https://doi.org/10.2312/3DOR/3DOR11/017-024