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Surface Modeling with Polynomial Splines over Hierarchical T-meshes

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3 Author(s)
Xin Li ; Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, P.R. China ; Jiansong Deng ; Falai Chen

Computer graphics and computer-aided design communities prefer piecewise spline patches to represent surfaces. But keeping the smoothness between the adjacent patches is a challenging task. In this paper, we present a method for stitching several surface patches, which is a key step in complicated surface modeling, with polynomial splines over hierarchical T-meshes (PHT-spline for short). The method is simple and can be easily applied to complex surface modeling. With the method, spline surfaces can be constructed efficiently and adoptively to fit genus-zero meshes after their spherical parameterization is obtained, where only small sized linear systems of equations are involved.

Published in:

Computer-Aided Design and Computer Graphics, 2007 10th IEEE International Conference on

Date of Conference:

15-18 Oct. 2007