| Non-Uniform Doo-Sabin Subdivision Surface via Eigen Polygon |
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| 作者姓名： | ALAM Md Nur LI Xin |
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| 作者单位： | School of Mathematical Sciences |
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| 基金项目： | supported by the National Natural Science Foundation of China under Grant No.61872328;SRF for ROCS SE;the Youth Innovation Promotion Association CAS;CAS-TWAS president’s fellowship program。 |
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| 摘 要： | This paper constructs a new non-uniform Doo-Sabin subdivision scheme via eigen polygon.The authors proved that the limit surface is always convergent and is G1 continuous for any valence and any positive knot intervals under a minor assumption, that λ is the second and third eigenvalues of the subdivision matrix. And then, a million of numerical experiments are tested with randomly selecting positive knot intervals, which verify that our new subdivision scheme satisfies the assumption.However this is not true for the other two existing non-uniform Doo-Sabin schemes in Sederberg, et al.(1998), Huang and Wang(2013). In additional, numerical experiments indicate that the quality of the new limit surface can be improved.
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| 关 键 词： | Doo-Sabin NON-UNIFORM splines SUBDIVISION |
Non-Uniform Doo-Sabin Subdivision Surface via Eigen Polygon |
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| ALAM Md Nur,LI Xin.Non-Uniform Doo-Sabin Subdivision Surface via Eigen Polygon[J].Journal of Systems Science and Complexity,2021,34(1):3-20. |
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| Authors: | Alam Md Nur Li Xin |
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| Affiliation: | 1.School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, China
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| Abstract: | Journal of Systems Science and Complexity - This paper constructs a new non-uniform Doo-Sabin subdivision scheme via eigen polygon. The authors proved that the limit surface is always convergent... |
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