测量点集的简化及其隐式曲面重建误差分析

王宏涛; 张丽艳; 杜佶; 李忠文; 周儒荣

doi:10.11834/jig.20071129

计算机图形学 | 浏览量 : 0 下载量: 220 CSCD: 0

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专辑

测量点集的简化及其隐式曲面重建误差分析
Simplification and Error Analysis Based on Implicit Surface for Measuring Point-sets
2007年12卷第11期页码：2114
纸质出版：2007
DOI： 10.11834/jig.20071129
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王宏涛, 张丽艳, 杜佶, 李忠文, 周儒荣. 测量点集的简化及其隐式曲面重建误差分析[J]. 中国图象图形学报, 2007,12(11):2114. DOI： 10.11834/jig.20071129.

Simplification and Error Analysis Based on Implicit Surface for Measuring Point-sets[J]. Journal of Image and Graphics, 2007, 12(11): 2114. DOI： 10.11834/jig.20071129.

摘要

基于测量点集的模型重建是逆向工程中的关键环节，为提高模型重建精度和重建效率、保证为模型重建提供必需的信息，简化测量点集、分析重建误差是十分必要的。首先实现了一种测量点集的快速简化算法，然后提出了采用紧支撑径向基函数建立简化后点集的隐式曲面方程，从而实现重建误差分析的方法。实例结果表明，本文简化算法效率较高、效果良好，运用隐式曲面实现的重建误差分析为简化测量点集提供了误差依据。

Abstract

The model reconstruction based on measuring point-sets is a key step in the reverse engineering

it is quite necessary to simplify the measuring point-sets and analyze the reconstruction error in order to improve the reconstruction precision and the reconstruction efficiency and provide essential information for the model reconstruction. In this paper

a new simplification algorithm for measuring point-sets is realized firstly

and then a novel method for reconstruction error analysis where the simplified point-set is fitted by an implicit surface based on compactly supported radial basis function is presented. The experimental results show that the simplification algorithm has higher efficiency and better effect

the error analysis results based on implicit surface can restrict simplification quantity within the limitation of reconstruction precision.