Patch Representation vs. Polygon Mesh
It’s fair to say that a polygon is a simple and flexible building block. However, a parametric representation of an object has certain key advantages:
- Conciseness
- A parametric representation is exact and economic since it is analytical. With a polygonal object, exactness can only be approximated at the expense of extra processing and database costs.
- Deformation and shape change
- Deformations of parametric surfaces is no less well defined than its undeformed counterpart, so the deformations appear smooth. This is not generally the case with a polygonal object.