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Surface modeling with polynomial splines over hierarchical T-meshes

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Abstract

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 adaptively to fit genus-zero meshes after their spherical parameterization is obtained, where only small sized linear systems of equations are involved.

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Authors and Affiliations

  1. Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, P.R. China

    Xin Li, Jiansong Deng & Falai Chen

Authors
  1. Xin Li
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  2. Jiansong Deng
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  3. Falai Chen
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Correspondence to Jiansong Deng.

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Li, X., Deng, J. & Chen, F. Surface modeling with polynomial splines over hierarchical T-meshes. Visual Comput 23, 1027–1033 (2007). https://doi.org/10.1007/s00371-007-0170-3

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  • DOI: https://doi.org/10.1007/s00371-007-0170-3

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