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Computer Graphics International 2003 (CGI'03)   p. 22
Interpolatory Subdivision Curves via Diffusion of Normals
Yutaka Ohtake, Max-Planck-Institut für Informatik
Alexander Belyaev, Max-Planck-Institut für Informatik
Hans-Peter Seidel, Max-Planck-Institut für Informatik

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DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/CGI.2003.1214443
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Abstract
In this paper, we propose a new interpolatory subdivision scheme for generating nice-looking curvature-continuous curves of round shapes. The scheme is based on a diffusion of normals. Given a subdivided polyline, the new polyline vertices inserted at the the splitting step are updated in order to fit diffused (averaged with appropriate weights) normals. Although the resulting interpolatory subdivision scheme is non-stationary, nonlinear, and nonuniform from the traditional point of view, the scheme is easy to implement because the same simple geometric procedure for generating new vertices is used at each subdivision step. According to our experiments, the scheme is robust and demonstrate very good convergence properties.
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Index Terms- interpolatory subdivision, diffusion of normals Citation:  Yutaka Ohtake, Alexander Belyaev, Hans-Peter Seidel, "Interpolatory Subdivision Curves via Diffusion of Normals," cgi, p. 22,  Computer Graphics International 2003 (CGI'03),  2003