### De Casteljau Algorithm and Degree Elevation of Toric Surface Patches

LI Jinggai · JI Ye · ZHU Chungang

1. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China; Key Laboratory for Computational Mathematics and Data Intelligence of Liaoning Province, Dalian University of Technology, Dalian 116024, China. Email: cgzhu@dlut.edu.cn.
• Online:2021-02-25 Published:2021-02-02

LI Jinggai · JI Ye · ZHU Chungang. De Casteljau Algorithm and Degree Elevation of Toric Surface Patches[J]. Journal of Systems Science and Complexity, 2021, 34(1): 21-46.

De Casteljau algorithm and degree elevation of B´ezier and NURBS curves/surfaces are two important techniques in computer aided geometric design. This paper presents the de Casteljau algorithm and degree elevation of toric surface patches, which include tensor product and triangular rational B´ezier surfaces as special cases. Some representative examples of toric surface patches with common shapes are illustrated to verify these two algorithms. Moreover, the authors also apply the degree elevation of toric surface patches to isogeometric analysis. And two more examples show the effectiveness of proposed method.

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