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