Functional Maps with Well Spread-out Constraints

Junjie Cao
2015 Journal of Information and Computational Science  
Finding an isometric map between two intrinsically symmetric surfaces is a fundamental problem in computer graphics. However, the deviations from perfect isometry make this problem challenging to the state-of-the-art methods. In this paper, we propose an automatic and robust algorithm based on functional maps for finding nearly isometric maps. The challenge is to extract sufficient and reliable constraints for functional maps. Based on the observation that symmetry axis curves and shape
more » ... ies are stable and well-spaced features, we extract and match symmetry axis curves and feature points over shape extremities. These sparse point correspondences are then extrapolated to obtain well spread-out regional constraints. Experimental results on SCAPE data set show that our method is superior to the state-of-the-art methods.
doi:10.12733/jics20106780 fatcat:hsmqbjrsjjdjtmahm3h4dqvcbu