A Modified BEZIER Algorithm For Controlling and Generating A Third Degree Curves

Abstract

This paper presents a new method to generate curves, which allowsthe designer to produce a curve in combinational way allowing him to getthe shape that he had in his imagination with keeping the four control point for the curve design. Basing on the modified BEZIER curve, the upgraded algorithm used de Casteljau algorithm on interval [r, s] as a mathematical base to upgrade the suggested method. The suggested method shows a great flexibility at the curve controlling area with changing one, more or no need to change the control points of Bezier curve as it shows in the figures presented in the paper