@Article{CMR-26-2,
author = {Xinwei, Du and Yang, Xiaoying and Xuezhang, Liang},
title = {Surface Reconstruction of 3D Scattered Data with Radial Basis Functions},
journal = {Communications in Mathematical Research },
year = {2010},
volume = {26},
number = {2},
pages = {183--192},
abstract = {<p style="text-align: justify;">We use Radial Basis Functions (RBFs) to reconstruct smooth surfaces
from 3D scattered data. An object&#39;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.</p>},
issn = {2707-8523},
doi = {https://doi.org/2010-CMR-19170},
url = {https://global-sci.com/article/81904/surface-reconstruction-of-3d-scattered-data-with-radial-basis-functions}
}