| Representing Quadric Surfaces Using NURBS Surfaces |
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| 作者姓名： | Qin Kaihuai |
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| 作者单位： | DepartmentofComputerScience＆Technology,TsinghuaUniversity,Beijing100084 |
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| 摘 要： | A method for representing quadrc surfaces using NURBS is presented.By means of the necessary and sufficient conditons for NURBS curves to precisely represent circular arcs and other conics,quadric surfaces can be represented by NURBS surfaces with fewer control vertices.The method can be used not only for NURBS surface representation of quadric surfaces,but also for rounding polyhedrons.Many examples are given in the paper.
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| 关 键 词： | CAD CAM NURBS曲面 二次曲面 |
Representing quadric surfaces using NURBS surfaces |
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| Qin Kaihuai.Representing Quadric Surfaces Using NURBS Surfaces[J].Journal of Computer Science and Technology,1997,12(3):210-216. |
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| Authors: | Kaihuai Qin |
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| Affiliation: | Department of Computer Science & Technology; Tsinghua University; Beijing 100084; |
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| Abstract: | A method for representing quadric surfaces using NURBS is presented. By means of the necessary and sufficient conditions for NURBS cu-rves to precisely represent circular arcs and other conics, quadric surfaces can be represented by NURBS surfaces with fewer control vertices. The method can be used not only for NURBS surface representation of quadric surfaces, but also for rounding polyhedrons. Many examples are given in the paper. |
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| Keywords: | NURBS surface quadric surface circular arc conic |
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