多辺形曲面の一般的創成方法に関する研究

抄録

This paper describes a general method of generating n-sided surfaces with C 1 continuity with adjacent surfaces. Considering regular n-sided polygon in two dimensional space (u, v), distance parameters and boundary parameters are defined. And each blending function of n-sides is defined so that the derivative may be “0” on every sides and the value may be “1” on a side and be “0” on the other sides along the boundary of the polygon. The proposed surfaces are obtained by blending these functions and boundary conditions, namely, positions and tangents given along the edges. Theoretical consideration of the surfaces about characteristics, facility in implementing in a computer and calculation time are discussed in detail. As the results this paper concludes that the proposed method makes it possible to generate n-sided patches simply, fast and with fitting in well with solid modelling.