Alpha Fractal Rational Quintic Spline with Shape Preserving Properties

Author:

Gautam Shamli Shrama1,Katiyar Kuldip1

Affiliation:

1. Department of mathematics Chandigarh University Gharuan, Mohali, Punjab, 140413 INDIA

Abstract

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.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Reference19 articles.

1. M.F. Barnsley, Fractal Everywhere , second edition. 1986.

2. M. F. Barnsley, “Fractal functions and interpolation,” Constr. Approx., vol. 2, no. 1, pp. 303–329, 1986, doi: 10.1007/BF01893434.

3. L. Ballerini and L. Franzén, “Fractal analysis of microscopic images of breast tissue,” WSEAS Trans. Circuits, vol. 2, no. 1, 2003.

4. R. Dobrescu, C. Vasilescu, and L. Ichim, “Using fractal dimension in tumor growth evaluation,” no. April 2015, pp. 63–68, 2006.

5. L. Zhang, Y. Wang, L. Xi, K. Gao, and T. Hu, “New method of image retrieval using fractal code on the compression domain,” WSEAS Trans. Syst., vol. 7, no. 12, pp. 1484–1493, 2008.

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