Shape-preserving surfaces with constraints on tension parameters

被引：7

作者：

Hussain, Malik Zawwar ^{[1
]}

Hussain, Maria ^{[2
]}

Aqeel, Beenish ^{[1
]}

机构：

[1] Univ Punjab, Dept Math, Lahore, Pakistan

[2] Women Univ, Lahore Coll, Dept Math, Lahore, Pakistan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 247卷

关键词：

Shape preservation; Rational bi-cubic function; Positivity; Monotonicity; Convexity; Tension parameters; RANGE RESTRICTED INTERPOLATION; SCATTERED DATA; VISUALIZATION; MONOTONICITY; POSITIVITY; SPLINE;

D O I：

10.1016/j.amc.2014.09.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The C-1 rational bi-cubic local interpolation schemes are presented for the shape preservation of convex, monotone and positive surface data. The shape of the surface is controlled locally with the help of eight tension parameters over each rectangular patch. Data dependent constraints are developed on half of the tension parameters to preserve the intrinsic shapes of the surface data. The remaining ones are unconstrained, thus free to be used to obtain the smoothest surface. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：442 / 464

页数：23

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