UNIFIED FRAMEWORK FOR CURVE MODELING BY FAMILY OF QUATERNARY SCHEMES AND ITS ANALYSIS

Tanweer Ahmad, Muhammad Asghar, Ghulam Mustafa, Faheem Khan

Abstract

Computational mathematics has a part that controls the techniques for making smooth curves and surfaces and for their effective mathematical representation is known as Computer Aided Geometric Design (CAGD). The Laurent polynomial is used in this research work to create a formula for building a family of quaternary subdivision schemes. There has also been introduced a family of subdivision schemes with various values of parameter m, such as m = 0,1,2,3,4, and so forth. The suggested family of subdivision schemes was also examined. The family of schemes we offer has (m + 1) continuity. We provide a family of schemes with dual parametrization and (m + 1) degree of generation. Additionally shown is the suggested schemes’ visual performance.

Keywords: Quaternary; subdivision schemes; Laurent polynomial.

AMS Subject Classifications: 65D17, 65D15, 65D10, 65C20.