| 基于插值与逼近的复杂曲面拟合 |
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| 引用本文： | 彭芳瑜,周云飞,周济. 基于插值与逼近的复杂曲面拟合[J]. 工程图学学报, 2002, 23(4): 87-96 |
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| 作者姓名： | 彭芳瑜 周云飞 周济 |
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| 作者单位： | 华中科技大学国家数控系统工程技术研究中心,武汉,430074 |
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| 基金项目： | 国家高技术研究发展计划攻关资助项目(980342034) |
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| 摘 要： | 工程图纸和实物模型提供的曲面原始数据通常具有分布不均匀的特点，如果直接使用四边域或三边域曲面进行拟合，曲面的光顺性将无法保证。针对这种情况，笔者利用插值与逼近相结合的曲面拟合思路，构造了由初始曲面拟合、曲面逼近、及曲面细化等3个步骤组成的曲面造型方法。实践表明，这种方法能较好地解决原始数据点分布不均匀的曲面造型问题。
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| 关 键 词： | 复杂曲面 曲面拟合 插值 逼近 光顺 能量法 |
| 文章编号： | 1003-0158(2002)04-0087-10 |
| 修稿时间： | 2001-09-03 |
Algorithm of Sculptured Surface Fitting Based on Interpolation and Approximation |
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| PENG Fang-yu ZHOU Yun-fei ZHOU Ji. Algorithm of Sculptured Surface Fitting Based on Interpolation and Approximation[J]. Journal of Engineering Graphics, 2002, 23(4): 87-96 |
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| Authors: | PENG Fang-yu ZHOU Yun-fei ZHOU Ji |
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| Abstract: | Surface data annotated on project blueprint or measured from model are used to be irregular by distributed. When using quadrilateral or triangular surface reconstruction directly, fairness of the surface could not be guaranteed. A new idea for surface reconstruction which combines the interpolation with approximation is presented, and an algorithm composed of initial surface construction of partial interpolation, surface approximation of all given data, and surface subdivision to improve the quality of data fitting has been realized. In practice, this idea and algorithm has good effect. |
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| Keywords: | surface reconstruction interpolate approximate fairness energy minimization |
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