A NURBS curve, which is an acronym for Non-Uniform Rational B-Spline curve, is a generalization of both Bézier (http://planetmath.org/BezierCurve) and BSpline (http://planetmath.org/B-splines) curves. NURBS are commonly used in computer graphics, computer-aided design (CAD), engineering (CAE), and manufacturing (CAM).
A NURBS curve is a parametric curve defined by its , a set of weighted control points, and a knot vector. It is defined as
where is the parameter, is the , are the B-spline basis functions, are the control points and are the weights.
|Date of creation||2013-03-22 17:10:59|
|Last modified on||2013-03-22 17:10:59|
|Last modified by||stitch (17269)|
|Synonym||nonuniform rational B-spline curve|