Shape preserving rational cubic fractal interpolation function

被引：9
|
作者：
Balasubramani, N. [1 ]
机构：
[1] IIT Guwahati, Dept Math, Gauhati 781039, India
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2017年 / 319卷
关键词：
Iterated function system; Fractal interpolation function; Positivity; Monotonicity; Convexity; QUADRATIC SPLINE INTERPOLATION; MONOTONICITY; CONVEXITY; VISUALIZATION;
D O I：
10.1016/j.cam.2017.01.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new type of C-1 Fractal Interpolation Function (FIF) is developed using the Iterated Function System (IFS) which contains the rational spline. The numerator of this rational spline contains cubic polynomial and the denominator of the rational spline contains quadratic polynomial. We find uniform error bound between the original function which belongs to the class C-2 and the FIF. We described suitable conditions on scaling factors and shape parameters such that they preserve the shape properties which are inherited in the data. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：277 / 295
页数：19
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