Bezier Surface

SURFACE REPRESENTATION

MalakanagoudaB B SUNITHKUMAR H GMtech 1st sem CIM

Bezier Surfaces:IntroductionBezier surfaces were first described in 1962 by theFrench engineerPierre Bezierwho used them to designautomobilebodies. Bezier surfaces can be of any degree, but bicubic Bezier surfaces generally provide enoughdegrees of freedomfor most applications.This is a synthetic surface similar to the Bezier curve and is obtained by transformation of a Bezier curve.It permits twists and kinks in the surface. The surface does not pass through all the data points.

2

Bezier SurfaceA tensor product Bezier surface is an extension of the Bezier curve in two parametric dimensions u and v.An orderly set of data or control points is used to build a topologically rectangular surface as shown in Fig. The surface equation can be written as,3

P(u, v) = 0