Refining shape correspondence for similar objects using strain

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

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

4 Scopus citations


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
EditorsTobias Schreck, Alfredo Ferreira, Afzal Godil, Hamid Laga, Remco Veltkamp, Ioannis Pratikakis
PublisherEurographics Association
Number of pages8
ISBN (Electronic)9783905674316
StatePublished - 2011
Event4th Eurographics Workshop on 3D Object Retrieval, 3DOR 2011 - Llandudno, United Kingdom
Duration: Apr 10 2011 → …

Publication series

NameEurographics Workshop on 3D Object Retrieval, EG 3DOR
ISSN (Print)1997-0463
ISSN (Electronic)1997-0471


Other4th Eurographics Workshop on 3D Object Retrieval, 3DOR 2011
Country/TerritoryUnited Kingdom
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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