具有形状保持特性的阿尔法分形有理五次样条曲线

International Journal of Computational and Applied Mathematics & Computer Science Pub Date : 2023-12-11 DOI:10.37394/232028.2023.3.13

Shamli Shrama Gautam, Kuldip Katiyar

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引用次数: 0

摘要

本文旨在构建阿尔法分形有理五次样条曲线。我们考虑了 C2 有理五次函数（分子为五次多项式，分母为线性多项式，具有两个形状参数，即 sm 和 tm）的有理形式，并推导出了α分形有理五次样条曲线的均匀误差约束。此外，还对形状参数和缩放因子施加了约束，以驱动形状保持特性。

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Alpha Fractal Rational Quintic Spline with Shape Preserving Properties

The intent of this paper is to construct the alpha fractal rational quintic spline. We have considered C2 rational quintic function, which is of the rational form, where the numerator is a quintic polynomial and denominator is a linear polynomial having two shape parameters i.e. sm & tm and deduced the uniform error bound for alpha fractal rational quintic spline. Also constraints have been applied on shape parameters and scaling factors to drive the shape preserving properties.

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International Journal of Computational and Applied Mathematics & Computer Science

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