Conversion Between Cubic Bezier Curves and Catmull–Rom Splines

Abstract Splines are one of the main methods mathematically representing complicated shapes, which have become primary technique in fields Computer Graphics (CG) and Computer-Aided Geometric Design (CAGD) for modeling complex surfaces. Among all, Bézier Catmull–Rom splines most common sub-fields engineering. In this paper, we focus on conversion between cubic curve segments, rather than going through their properties. By deriving equations, aim at converting original set control points either or curves to a new points, corresponds approximately same shape as curve, when considered other curve. Due providing simple linear transformations method is very simple, efficient, easy implement, further validated paper using some numerical visual examples.