In this study, shape preserving data driven rational cubic schemes are developed. A piecewise function (quadratic denominator and numerator) with two parameters was transformed to C1 function. Constraints were derived on free by means of some mathematical derivations train demonstrate convex curve. The scheme, then, advanced partially blended bi-cubic eight which controlled ascertain surface. n...

This paper studies algebraic and geometric properties of curve–curve, curve– surface, and surface–surface bisectors. The computation is in general difficult since the bisector is determined by solving a system of nonlinear equations. Geometric considerations will help us to determine several distinguished curve and surface pairs which possess elementary computable bisectors. Emphasis is on lowd...