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| De Casteljau Algorithm and Degree Elevation of Toric Surface Patches | |
| 作者姓名： | LI Jinggai JI Ye ZHU Chungang |
| 作者单位： | School of Mathematical Sciences;Key Laboratory for Computational Mathematics and Data Intelligence of Liaoning Province |
| 基金项目： | supported by the National Natural Science Foundation of China under Grant Nos.11671068 and 11801053。 |
| 摘 要： | De Casteljau algorithm and degree elevation of Bézier 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 Bézier 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. |
| 关 键 词： | De Casteljau algorithm degree elevation depth elevation isogeometric analysis toric surface patches |
De Casteljau Algorithm and Degree Elevation of Toric Surface Patches |
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| 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. | |
| Authors: | Li Jinggai Ji Ye Zhu Chungang |
| Institution: | 1.School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China ;2.Key Laboratory for Computational Mathematics and Data Intelligence of Liaoning Province, Dalian University of Technology, Dalian, 116024, China ; |
| Abstract: | Journal of Systems Science and Complexity - De Casteljau algorithm and degree elevation of Bézier and NURBS curves/surfaces are two important techniques in computer aided geometric design.... |
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