Reconstruction from contour lines based on bi-cubic Bezier spline surface |
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基金项目: | 中国科学院资助项目;上海市博士后基金;浙江省教育厅资助项目 |
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摘 要: |
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关 键 词: | Bi-cubic Bézier surface |
收稿时间: | 6 April 2006 |
修稿时间: | 19 April 2006 |
Reconstruction from contour lines based on bi-cubic Bézier spline surface |
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Authors: | Zhong Li Li-zhuang Ma Wu-zheng Tan Ming-xi Zhao |
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Institution: | (1) Department of Mathematics and Science, Zhejiang Sci-Tech University, Hangzhou, 310018, China;(2) Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China |
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Abstract: | A novel reconstruction method from contours lines is provided. First, we use a simple method to get rid of redundant points
on every contour, then we interpolate them by using cubic Bézier spline curve. For corresponding points of different contours,
we interpolate them by the cubic Bézier spline curve too, so the whole surface can be reconstructed by the bi-cubic Bézier
spline surface. The reconstructed surface is smooth because every Bézier surface is patched with G2 continuity, the reconstruction speed is fast because we can use the forward elimination and backward substitution method
to solve the system of tridiagonal equations. We give some reconstruction examples at the end of this paper. Experiments showed
that our method is applicable and effective.
Project supported by the National Natural Science Foundation of China (Nos. 60373070 and 60573147), Postdoctor Foundation
of Shanghai (No. 05R214129), and Zhejiang Education Foundation of China (No. 20050786) |
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Keywords: | Contour Surface reconstruction G2 continuity |
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