A smoothness criterion for monotonicity-preserving subdivision

被引：6

作者：

Floater, M. ^{[1
]}

Beccari, C. ^{[2
]}

Cashman, T. ^{[3
,4
]}

Romani, L. ^{[5
]}

机构：

[1] Univ Oslo, Dept Informat, Ctr Math Applicat, N-0316 Oslo, Norway

[2] Univ Bologna, Dipartimento Matemat, I-40127 Bologna, Italy

[3] Univ Cambridge, Cambridge, England

[4] Univ Lugano, Fac Informat, CH-6904 Lugano, Switzerland

[5] Univ Milano Bicocca, Dept Math & Applicat, I-20125 Milan, Italy

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2013年 / 39卷 / 01期

关键词：

Interpolatory subdivision; Monotonicity-preservation; INTERPOLATORY SUBDIVISION; NONLINEAR SUBDIVISION; SCHEMES;

D O I：

10.1007/s10444-012-9275-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study subdivision schemes that both interpolate and preserve the monotonicity of the input data, and we derive a simple ratio condition that guarantees the continuous differentiability of the limit function. We then show that the condition holds for both a scheme of Kuijt and van Damme, based on rational functions, and a scheme of Sabin and Dodgson, based on square roots.

引用

页码：193 / 204

页数：12

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