空间采样点的隐式曲面表示与优化

刘圣军; 韩旭里; 金小刚

doi:10.11834/jig.20110327

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专辑

空间采样点的隐式曲面表示与优化
Implicit surface representation and optimization for 3D sample points
2011年16卷第3期页码：480-487
网络出版：2011-04-01，

纸质出版：2011
DOI： 10.11834/jig.20110327
稿件说明：

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刘圣军, 韩旭里, 金小刚. 空间采样点的隐式曲面表示与优化[J]. 中国图象图形学报, 2011,16(3):480-487. DOI： 10.11834/jig.20110327.

Implicit surface representation and optimization for 3D sample points[J]. Journal of Image and Graphics, 2011, 16(3): 480-487. DOI： 10.11834/jig.20110327.

摘要

基于元球隐式曲面表示，提出一个对给定3维物体表面采样数据进行自动曲面重建的方法。首先由空间采样点获取它们的球逼近表示；然后使用这些球作为元球的初始估计，构造出一张初始的元球隐式曲面；最后通过一个能量优化过程调整每个元球的形状参数，得到最终的隐式曲面。球的位置与形状的有效估计和局部支撑的元球核函数的使用极大地加速了曲面优化过程。实验结果表明该方法是有效而实用的。

Abstract

Based on the metaball models

a practical method is presented for automatically reconstructing an implicit surface from given sample points on the surface of an object in R3. Firstly

a spherical representation of the model from the samples can be obtained. Secondly

the spheres are utilized as initial metaballs—this greatly improves the robustness and efficiency of the metaball-based approximation

and the initial implicit surface is constructed. Lastly

the resulting implicit surface is created by adjusting every meatball parameter in an optimizing process. The optimal spheres and local supported field functions accelerate the surface optimization strongly. Experiments demonstrate the method’s efficiency and robustness.