Refining shape correspondence for similar objects using strain

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