Entire domain basis functions on 2-D NURBS geometries

We introduce here a new MoM technique marrying the old idea of entire domain or large domain basis functions with a wide-spread computational geometry method known as the non-uniform rational B-spline (NURBS). The critical detail here is not in the expression of the object as a combination of NURBS curves and surfaces but in the specification of basis functions in the parameter space of the NURBS. To the author's knowledge, no prior research has ever been done in this area.