An Algorithm for Interpolation of Free-Form Surfaces

概要

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There are many successful methods of representing free-form surfaces. Most of these methods require setting many control points or boundary conditions in order to generate the surface which the designer wishes. A significant advantage of our proposed algorithm is the designer-oriented surface definition that is achieved, also it is only necessary to refer to the shapes of the boundary curves, usually represented in sketches or drawings, in order to construct the shape of the objects. Therefore, merely by using the information provided in engineering drawings, the designer can make composite free-form surfaces. Our method is basically an extension of the Coons algorithm. Rotation and scaling operations are added to the Coons algorithm in order to obtain the surface shapes specified by the designer. The algorithm makes it possible to generate sculptured surfaces and highly-curved surfaces like tori, spheres, cones and so forth under several conditions which allow the designer to control the interior of the surfaces. The algorithm has been implemented for a CAD/CAM system for plastic molding dies. This system can be successfully applied in making practical products, e.g., consumer electrical appliances.
一般社団法人情報処理学会の論文
1987-09-30