We present a novel surface smoothing framework using the Laplace-Beltrami eigenfunctions. The Green's function of an isotropic diffusion equation on a manifold is constructed as a linear combination of the Laplace-Beltraimi operator. The Green's function is then used in constructing heat kernel smoothing. Unlike many previous approaches, diffusion is analytically represented as a series expansion avoiding numerical instability and inaccuracy issues. This proposed framework is illustrated with mandible surfaces, and is compared to a widely used iterative kernel smoothing technique in computational anatomy. The MATLAB source code is freely available at http://brainimaging. waisman.wisc.edu/~chung/lb. © 2010 Springer-Verlag.
CITATION STYLE
Seo, S., Chung, M. K., & Vorperian, H. K. (2010). Heat kernel smoothing using Laplace-Beltrami eigenfunctions. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6363 LNCS, pp. 505–512). https://doi.org/10.1007/978-3-642-15711-0_63
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