Generalized B-spline curve surface and its properties

Chunfeng Liu, Xiaojun Men, Aim

Abstract

Generalized B-spline curve has achieved the transition from the uniform B-spline curve to the trigonometric polynomial B-spline curve, it encompasses uniform B-spline curves and trigonometric polynomial B-spline curves and countless curves between them. Constructed by the nature of the base functions to derive the definition of the curve and its properties, and then simply introduce the nature of the surface.