Smooth Connection Between Multisided S-Patch And Rectangular Bézier Patches

Triangular and Rectangular patches are typically used for freeform design. Today, triangular and rectangular Bezier patches are fundamental tools in Approximation Theory and Computer Aided Geometric Design. However some surfaces topologically are neither three sided nor four sided, and assembly of these kinds of patches necessarily leaves n-sided holes.This paper presents a scheme such that multisided S-patches can smoothly connected with rectangular Bezier patches of any degrees. At last, we give practical example as its use.