Year: 2010
Author: Xinwei Du, Xiaoying Yang, Xuezhang Liang
Communications in Mathematical Research , Vol. 26 (2010), Iss. 2 : pp. 183–192
Abstract
We use Radial Basis Functions (RBFs) to reconstruct smooth surfaces from 3D scattered data. An object's surface is defined implicitly as the zero set of an RBF fitted to the given surface data. We propose improvements on the methods of surface reconstruction with radial basis functions. A sparse approximation set of scattered data is constructed by reducing the number of interpolating points on the surface. We present an adaptive method for finding the off-surface normal points. The order of the equation decreases greatly as the number of the off-surface constraints reduces gradually. Experimental results are provided to illustrate that the proposed method is robust and may draw beautiful graphics.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-CMR-19170
Communications in Mathematical Research , Vol. 26 (2010), Iss. 2 : pp. 183–192
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: radial basis function scattered data implicit surface surface reconstruction.