Quasi-Interpolation for Surface Reconstruction from Scattered Data with Radial Basis Functions

Release time:2016-04-25

Journal:Computer Aided Geometric Design

Key Words:Reconstruction; Quasi-interpolation; RBF

Abstract: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

Co-author:Shengjun Liu, Charlie C.L.Wang

Indexed by:Unit Twenty Basic Research

Document Type:J

Volume:29

Issue:7

Page Number:435–447

Translation or Not:no

Date of Publication:2012-10-25

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