Generalized B-spline surfaces of arbitrary topology

Charles Loop, T. D. DeRose
1990 Computer graphics  
B-spline surfaces, although widely used, are incapable of describing surfaces of arbitrary topology. It is not possible to model a general closed surface or a surface with handles as a single non-degenerate B-spline. In practice such surfaces are often needed. In this paper, we present generalizations of biquadratic and bicubic B-spline surfaces that are capable of capturing surfaces of arbitrary topology (although restrictions are placed on the connectivity of the control mesh). These results
more » ... re obtained by relaxing the sufficient but not necessary smoothness constraints imposed by B-splines and through the use of an n-sided generalization of B6zier surfaces called Spatches.
doi:10.1145/97880.97917 fatcat:2lawxbwjabevhhzrkwnf5vxjr4