| Design of Triharmonic Triangular B\'{e}zier Surfaces |
| Received:August 03, 2020 Revised:October 25, 2020 |
| Key Words:
triangular B\'{e}zier surface triharmonic PDE PDE-based surfaces
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.12071057; 11671068). |
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| Abstract: |
| Partial differential equation-based (PDE-based) surface design generates surfaces from PDEs with given boundary conditions. In this paper, design of triangular B\'{e}zier surfaces satisfying triharmonic equations is presented. We propose three sets of boundary control points for triharmonic triangular B\'{e}zier surfaces design by solving the systems of the linear equations with unique solutions. Moreover, we compare these three methods by some representative examples. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2021.04.010 |
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