B-spline surfaces on circle and fan-shaped domain


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 modelling.


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