Convexity preserving interpolatory subdivision with conic precision

被引：22
|
作者：
Albrecht, Gudrun [2 ]
Romani, Lucia [1 ]
机构：
[1] Univ Milano Bicocca, Dept Math & Applicat, I-20125 Milan, Italy
[2] Univ Lille Nord France, UVHC, LAMAV CGAO, FR 2956, F-59313 Valenciennes, France
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 08期
关键词：
Subdivision; Interpolation; Convexity preservation; Conic reproduction; CURVE SUBDIVISION; SCHEMES;
D O I：
10.1016/j.amc.2012.10.048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is concerned with the problem of shape preserving interpolatory subdivision. For arbitrarily spaced, planar input data an efficient non-linear subdivision algorithm reproducing conic sections and respecting the convexity properties of the initial data, is here presented. Significant numerical examples are included to illustrate the effectiveness of the proposed method and the smoothness of the limit curves. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：4049 / 4066
页数：18
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