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

ISBN-10: 3642457290

ISBN-13: 9783642457296

ISBN-10: 3642457312

ISBN-13: 9783642457319

3D CAD is among the most vital applied sciences of the 90s for the engineering and production global. 3D CAD structures offers a aggressive part within the improvement of recent items. This publication provides the advance of a 3-dimensional CAD process and its wide selection of purposes. It describes the recommendations of good types, and the idea of curves and surfaces and it illustrates those suggestions via "reals global" applications.

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In particular, DESIGN BASE introduces Gregory patches and rational boundary Gregory patches, the advantage of which is smooth connection of surfaces. • Local modification operations This function modifies part of an object by creating, deleting, moving edges and vertices, or lifting surfaces. The target to be modified is only part of an object, and thus the operation can be executed very quickly. • Boolean operations This function calculates the union, difference, and intersection between two objects including those with natural quadric surfaces or free-form surfaces.

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. 11. Solids that cannot be represented as two-manifolds edge structure, a new element use is ~reated from the four topological elements: vertex, edge, face, and loop.

Variation diminishing property 56 4. 2). The Bezier curve passes through the start and end points of the control polygon and its shape is smoother than its control polygon. If an arbitrary control point is translated, the shape of the control polygon changes and thus the shape of the curve changes. 2) as dR(t) ~ B n. 4) where ai is defined as (i = 0, ... 5). From this condition, it is evident that the curve shape must be largely affected by the control polygon shape. aR(D) dt p p Fig. 5.

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3D CAD: Principles and Applications by Dr. Hiroshi Toriya, Prof. Dr. Hiroaki Chiyokura (auth.), Dr. Hiroshi Toriya, Prof. Dr. Hiroaki Chiyokura (eds.)

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