曲線, 曲面の合成および平滑化理論

概要

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The new interpolation formula are introduced and are applied to make curves with arbitrary boundary conditions. Then the method is extended to synthesize surfaces with prescribed boundary conditions on space curves which are detemnined previously. So it is possible to connect two surfaces with common partial derivative values on the connecting boundary curve. In the second part of the paper the smooth fitting methods are described. The characteristic values in the curve and surface equations can be calculated by the methods from measured points of a model. In these methods shapes of curves and surfaces are simulated by those of elastic wires, meshes and plates loaded through springs connected to measured point. By this theory a synthesized surface bounded by arbitrary space curves can be expressed easily with the fixed orthogonal coordinate system, accordingly its shape is natural and is suitable to machine processing.
一般社団法人情報処理学会の論文
1969-05-15