B-spline scale-space of spline curves and surfaces

被引：6
|
作者：
Kee, C. Y. [2 ]
Lee, S. L. [1 ]
机构：
[1] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore
[2] Natl Univ Singapore, Temasek Labs, Singapore 117411, Singapore
来源：
COMPUTER-AIDED DESIGN | 2012年 / 44卷 / 04期
关键词：
B-spline scale-space; B-spline curves and surfaces;
D O I：
10.1016/j.cad.2011.11.005
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We present iterative algorithms for B-spline scale-space smoothing of geometric data and recovery of high frequency information in the smoothing process. The scale-space representation is based on a directional smoothing process using B-splines. If the geometric data are approximated or modelled by uniform B-splines or box-splines then the scale-space smoothing produces B-spline curves or box-spline surfaces. The method is applicable to geometric data processing and geometric modelling of free-form curves and surfaces from quadrilateral polyhedra with extraordinary vertices. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：275 / 288
页数：14
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