A Bézier patch is the sum of (tensor) products of Bernstein bases.

Just as we connected Bézier curve, we can connect Bézier patches to get a surface.

Bézier patch can be too limited in practice and there are many alternatives such as NURBS.

All the patch schemes have different tradeoffs on

  • degrees of freedom
  • continuity
  • difficulty of editing
  • cost of evaluation
  • generality