B-spline surfaces on circle and fan-shaped domain

Chunfeng Liu, Xiaolong Zhang,

Abstract

Rotated a B-spline curve we can get rotating B-spline basis functions and the definition of B-spline surfaces on cylindrical coordinate system, gives the nature of B-spline basis functions and B-spline surfaces with de Door algorithm. As the rotating B-spline surfaces is not conducive to geometric modeling. In this paper, we improve the rotating B-spline method, and then we defined B-spline basis functions, tensor B-spline surfaces under the cylindrical coordinate system which has it nature. All this provides a new method in geometric modeling.