Spectral Surface Deformation

Project Members

Guodong Rong, Yan Cao, Xiaohu Guo

University of Texas at Dallas

In this project, we propose a novel spectral method for surface deformation based on manifold harmonics transform. The eigenfunctions of the Laplace¨CBeltrami operator give orthogonal bases for parameterizing the space of functions defined on the surfaces. The geometry and motion of the original irregular meshes can be compactly encoded using the low-frequency spectrum of the manifold harmonics. Using the spectral method, the size of the linear/non-linear deformation system can be significantly reduced to achieve interactive computational speed for manipulating large triangle meshes. Our experimental results demonstrate that only a small spectrum is needed to achieve undistinguishable deformations for large triangle meshes. The spectral mesh deformation approach shows great performance improvement on computational speed over its spatial counterparts.
Keywords: spectral geometry analysis, manifold harmonics, surface deformation, interactive manipulation

Screen Shots:


  • Guodong Rong, Yan Cao, Xiaohu Guo, "Spectral Mesh Deformation", in The Visual Computer (CGI2008 Special Issue), Vol. 24, No. 7-9, pp. 787-796, 2008.
  • Guodong Rong, Yan Cao, Xiaohu Guo, "Spectral Surface Deformation with Dual Mesh", in Proceedings of the 21st International Conference on Computer Animation and Social Agents (CASA2008), pp. 17-24, Seoul, Korea, September 2008.