Hermite variational implicit surface reconstruction  

作　　者：PAN RongJiang MENG XiangXu WHANGBO TaegKeun 

机构地区：[1]School of Computer Science and Technology, Shandong University, Jinan 250100, China [2]Department of Computer Science, Kyungwon University, Sujung-Gu, Songnam, Kyunggi-Do, Korea

出　　处：《Science in China(Series F)》2009年第2期308-315,共8页中国科学（F辑英文版）

基　　金：Supported by the National Basic Research Program of China (Grant No.2006CB303102);the National Natural Science Foundation of China (Grant No.60703028)

摘　　要：We propose a new technique for reconstructing surfaces from a large set of unorganized 3D data points and their associated normal vectors. The surface is represented as the zero level set of an implicit volume model which fits the data points and normal constraints. Compared with variational implicit surfaces, we make use of surface normal vectors at data points directly in the implicit model and avoid of introducing manufactured off-surface points. Given n surface point/normal pairs, the proposed method only needs to solve an n×n positive definite linear system. It allows fitting large datasets effectively and robustly. We demonstrate the performance of the proposed method with both globally supported and compactly supported radial basis functions on several datasets.We propose a new technique for reconstructing surfaces from a large set of unorganized 3D data points and their associated normal vectors. The surface is represented as the zero level set of an implicit volume model which fits the data points and normal constraints. Compared with variational implicit surfaces, we make use of surface normal vectors at data points directly in the implicit model and avoid of introducing manufactured off-surface points. Given n surface point/normal pairs, the proposed method only needs to solve an n×n positive definite linear system. It allows fitting large datasets effectively and robustly. We demonstrate the performance of the proposed method with both globally supported and compactly supported radial basis functions on several datasets.

关 键 词：implicit surfaces  radial basis functions regularized regression variational implicit surface 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]