NURBS - a brief intro

Non-uniform rational B-spline. A boundary representation of the solid/volume

  • A NURBS curve is defined by its order, a set of weighted control points, and a knot vector
  • The shape is given by the weighted position of the control points
  • Local control: A single control point only influences those intervals where it is active


  • They offer one common mathematical form for both standard algebraic shapes and freeform organic shapes
  • Accurate positioning/control - well suited for engineering design with high tolerances
  • Provides surface control
  • Not very easy to model complex organic shapes
  • Many operations such as fillet/shell/boolean can be difficult
1:5 - RobinGen