Spherical diffusion for 3D surface smoothing.

Thomas Bülow

doi:10.1109/tpami.2004.129

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Spherical diffusion for 3D surface smoothing.

Thomas Bülow

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Abstract

A diffusion-based approach to surface smoothing is presented. Surfaces are represented as scalar functions defined on the sphere. The approach is equivalent to Gaussian smoothing on the sphere and is computationally efficient since it does not require iterative smoothing. Furthermore, it does not suffer from the well-known shrinkage problem. Evolution of important shape features (parabolic curves) under diffusion is demonstrated. A nonlinear modification of the diffusion process is introduced in order to improve smoothing behavior of elongated and poorly centered objects.

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Cephalometry Head Humans Models, Anatomic Pattern Recognition, Automated Journal Article Research Support, Non-U.S. Gov't

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Thomas Bülow. 2004. Spherical diffusion for 3D surface smoothing.. https://doi.org/10.1109/tpami.2004.129

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