| Approximate merging of multiple Bézier segments |
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| 基金项目： | This work was supported by the National Basic Research Program of China （Grant No. 2004CB719400）, National Natural Science Foundation of China （Grant Nos. 60673031 and 60333010） and the Scientific Research Program of the Education Office of Zhejiang Province （Grant No. 20070309）. |
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| 摘 要： | This paper deals with the approximate merging problem of multiple adjacent Bézier curves with different degrees by a single Bézier curve, which is a frequently seen problem in modeling. The unified matrix representation for precise merging is presented and the approximate merging curve is further derived based on matrix operation. Continuity at the endpoints of curves is also discussed in the merging process. Examples show that the method in this paper achieves satisfying merging results.
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| 关 键 词： | 计算机辅助技术 几何设计 矩阵表示 技术性能 |
| 收稿时间： | 2007-11-30 |
| 修稿时间： | 2008-01-15 |
Approximate merging of multiple Bézier segments |
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| Min Cheng,Guojin Wang. Approximate merging of multiple Bézier segments[J]. Progress in Natural Science, 2008, 18(6): 757-762. DOI: 10.1016/j.pnsc.2008.01.021 |
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| Authors: | Min Cheng Guojin Wang |
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| Affiliation: | a) Institute of Computer Graphics and Image Processing, Zhejiang University, Hangzhou 310027, China;b) College of Science, Zhejiang University of Technology, Hangzhou 310032, China |
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| Abstract: | This paper deals with the approximate merging problem of multiple adjacent Bézier curves with different degrees by a single Bézier curve, which is a frequently seen problem in modeling. The unified matrix representation for precise merging is presented and the approximate merging curve is further derived based on matrix operation. Continuity at the endpoints of curves is also discussed in the merging process. Examples show that the method in this paper achieves satisfying merging results. |
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| Keywords: | Computer-aided geometric design Bé zier curve Approximate merging Matrix representation |
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