Design of Triharmonic Triangular B\'{e}zier Surfaces
Received:August 03, 2020  Revised:October 25, 2020
Key Word: triangular B\'{e}zier surface   triharmonic PDE   PDE-based surfaces  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant Nos.12071057; 11671068).
Author NameAffiliation
Yan WU School of Software, Dalian University of Foreign Languages, Liaoning 116044, P. R. China 
Chungang ZHU School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
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      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.
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