A NURBS surface, which is an acronym for Non-Uniform Rational B-Spline surface, is a generalization of both Bézier (http://planetmath.org/BezierCurve) and B-splines surfaces. NURBS are commonly used in computer graphics, computer-aided design (CAD), engineering (CAE), and manufacturing (CAM).
A NURBS surface is parametric surface defined by its , an array of rows and columns weighted control points and a knot vector in each direction. It is defined as
where and are the parameters in each direction, is the in the -direction, is the in the -direction, and are the B-spline basis functions, are the control points and are the weights.
|Date of creation||2013-03-22 17:23:51|
|Last modified on||2013-03-22 17:23:51|
|Last modified by||stitch (17269)|
|Synonym||nonuniform rational B-spline surface|