Enhancement of Gordon-Coons interpolations by "bubble functions"

A popular method for generating surfaces in design packages is the boolean sum method of the Gordon-Coons surface. These surfaces have two major flaws: • Small flexibility in design. After setting the boundary curves, one can only change the blending functions. • That means that only global changes in the surface design are possible. • To connect smoothly two adjacent surfaces (or more) one must use cubic blending functions, and thus losing • mathematical simplicity. This paper presents a new surface, similar to the Gordon-Coons surfaces, that gives better design options, and minimum addition to the basic boolean sum surface for a C¹ connection.