| 点集表面的共形参数化 |
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| 引用本文： | 岳军,陈文斌,沈一帆. 点集表面的共形参数化[J]. 计算机工程, 2007, 33(11): 176-178 |
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| 作者姓名： | 岳军 陈文斌 沈一帆 |
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| 作者单位： | 复旦大学计算机科学与工程系,上海,200433;复旦大学数学系,上海,200433 |
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| 摘 要： | 基于点的图形系统成为图形学研究中的一个热点。该文介绍了一种无组织点集表面的共形参数化方法，在该参数化方法中，传统算法中经常使用的欧氏距离被测地线距离所代替。相对于欧氏距离，测地线距离能够更好地描述点集所隐含的表面，减少由点集表面无拓扑性质带来的误差，保持点集曲面的形状不变，提高参数化的质量。
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| 关 键 词： | 点集表面 共形映射 参数化 |
| 文章编号： | 1000-3428（2007）11-0176-03 |
| 修稿时间： | 2006-06-30 |
Conformal Parameterization for Point Set Surface |
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| YUE Jun,CHEN Wenbin,SHEN Yifan. Conformal Parameterization for Point Set Surface[J]. Computer Engineering, 2007, 33(11): 176-178 |
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| Authors: | YUE Jun CHEN Wenbin SHEN Yifan |
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| Affiliation: | l. Dept, of Computer Science and Engineering, Fudan University, Shanghai 200433; 2. Dept. of Mathematics, Fudan University, Shanghai 200433 |
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| Abstract: | Recently point based graphics is becoming one of hot topics in computer graphics. This paper presents a conformal parameterization method for point set surface. In the method, traditional Euclidean distance is replaced by geodesic length. That is based on the observation that geodesic is more appropriate than Euclidean distance in describing the surface implied by the point set. So the error caused by the unorganization feature of point set surfaces is reduced and the parameterization quality is improved. |
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| Keywords: | Point set surface Conformal mapping Parameterization |
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