| A NEW METHOD FOR REPRESENTING THE CIRCLE BY NURBS |
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| 作者单位： | Qin Kaihuai;Sun Jiaguang Dept. of Computer Science and Technology Tsinghua University，Beijing 100084，P. R. China |
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| 摘 要： | In this paper, a new algorithm for representing conics precisely is presented using NURBS ofdegree two. The algorithm requires only four control vertices, which is the minimum number of controlvertices compared with the other algorithms using the square control vertice configuration, to representa full circle using the full circumscribing square based representation. This paper also derives a new con-dition for NURBS to precisely represent conics and shows the necessary and sufficient condition of rep-resentation of a circular arc.
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A NEW METHOD FOR REPRESENTING THE CIRCLE BY NURBS |
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| Qin Kaihuai,Sun Jiaguang Dept. of Computer Science and Technology Tsinghua University,Beijing ,P. R. China. A NEW METHOD FOR REPRESENTING THE CIRCLE BY NURBS[J]. CADDM, 1992, 0(2) |
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| Authors: | Qin Kaihuai Sun Jiaguang Dept. of Computer Science Technology Tsinghua University Beijing P. R. China |
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| Affiliation: | Qin Kaihuai,Sun Jiaguang Dept. of Computer Science and Technology Tsinghua University,Beijing 100084,P. R. China |
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| Abstract: | In this paper, a new algorithm for representing conics precisely is presented using NURBS of degree two. The algorithm requires only four control vertices, which is the minimum number of control vertices compared with the other algorithms using the square control vertice configuration, to represent a full circle using the full circumscribing square based representation. This paper also derives a new con- dition for NURBS to precisely represent conics and shows the necessary and sufficient condition of rep- resentation of a circular arc. |
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| Keywords: | conic circle nonuniform rational B-spline (NURBS) |
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