What makes a Bezier patch preferable to other simple smooth functions?
motoole2
@anonymous Well, Bezier patches share the same properties as a Bezier curve: it is easy for a user to position the vertices at the edge of the patch, and define the tangent planes at these vertices. We can also stitch multiple Bezier patches together fairly easily, by setting the shared control points of a patch and its neighbor (spanning a common edge) to the same value. But, of course, whether this is a preferred representation for geometry depends entirely on the application. :-)
What makes a Bezier patch preferable to other simple smooth functions?
@anonymous Well, Bezier patches share the same properties as a Bezier curve: it is easy for a user to position the vertices at the edge of the patch, and define the tangent planes at these vertices. We can also stitch multiple Bezier patches together fairly easily, by setting the shared control points of a patch and its neighbor (spanning a common edge) to the same value. But, of course, whether this is a preferred representation for geometry depends entirely on the application. :-)