Surface Reconstruction of 3D Scattered Data with Radial Basis Functions |
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Authors: | Du Xin-wei Yang Xiao-ying Liang Xue-zhang |
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Affiliation: | Du Xin-wei1,Yang Xiao-ying2 and Liang Xue-zhang1(1.School of Mathematics,Jilin University,Changchun,130012)(2.College of Mathematics,Changchun University of Technology,130021)Ma Fu-ming |
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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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Keywords: | radial basis function scattered data implicit surface surface reconstruction |
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