Quasi-Interpolation for Surface Reconstruction from Scattered Data with Radial Basis Functions
发布时间：2016-04-25
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发表刊物：Computer Aided Geometric Design
关键字：Reconstruction; Quasi-interpolation; RBF
摘要：Radial Basis Function (RBF) has been used in surface reconstruction methods to interpolate or approximate scattered data points, which involves solving a large linear system. The linear systems for determining coefficients of RBF may be ill-conditioned when processing a large point set, which leads to unstable numerical results. We introduce a quasi-interpolation framework based on compactly supported RBF to solve this problem. In this framework, implicit surfaces can be reconstructed without solving a large linear system. With the help of an adaptive space partitioning technique, our approach
合写作者：Shengjun Liu, Charlie C.L.Wang
论文类型：基础研究
文献类型：J
卷号：29
期号：7
页面范围：435–447
是否译文：否
发表时间：2012-10-25
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