By Dr. Hiroshi Toriya, Prof. Dr. Hiroaki Chiyokura (auth.), Dr. Hiroshi Toriya, Prof. Dr. Hiroaki Chiyokura (eds.)

3D CAD is among the most vital applied sciences of the 90s for the engineering and production global. 3D CAD platforms supplies a aggressive side within the improvement of latest items. This ebook provides the advance of a third-dimensional CAD approach and its wide selection of purposes. It describes the recommendations of stable types, and the idea of curves and surfaces and it illustrates those recommendations via "reals international" applications.

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This is because these surfaces are very popular in machine parts. They must be expressed correctly to be efficiently used in intersection calculations. DESIGN BASE prepares Bezier surfaces and rational Bezier surfaces of the nth degree for processing from external systems. For these surfaces, there is no limitation of degrees as for the internal data. 5 Primitive Operations 37 surface can be processed in DESIGN BASE as long as it can be converted to a (rational) Bezier type. One of the important requirements of surface design in CAD systems is the smooth connection of surfaces.

Figure (a) illustrates two prisms sharing only one edge and (b) illustrates two cones sharing only one vertex. Solids that are not two-manifolds are called non-manifolds. 11 (a) by the winged-edge or face-edge structure, two edges must be duplicated. Because of this requirement, the processing is very troublesome. Weiler suggested the radial-edge structure[159) (an expansion of the half-edge structure), to completely represent a non-manifold. 4 Data Structure of Boundary Representations (a) 33 (b) Fig.

1 pL->edge = *edge; pL->parent_loop = *loop; pL->child_loop = 0; 1* * Make the start vertex data. *1 psV->edge = *edge; psV->point = *point1; 1* * Make the end vertex data. *1 peV->edge = *edge; peV->point = *point2; } The following is a fragment of the program for the function "pr Mev" , based on the MEV operation. This function adds an edge to two vertices in a loop. This operation needs to obtain a winged edge from the straight line edge created by the function "prGtWing". The processing ofthe function "prMev" is complicated, so the details are omitted and only the method of updating the topological data is shown in here.

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