By Dr. Hiroshi Toriya, Prof. Dr. Hiroaki Chiyokura (auth.), Dr. Hiroshi Toriya, Prof. Dr. Hiroaki Chiyokura (eds.)
3D CAD is among the most crucial applied sciences of the 90s for the engineering and production international. 3D CAD structures delivers a aggressive facet within the improvement of recent items. This e-book provides the improvement of a 3-dimensional CAD method and its wide variety of purposes. It describes the ideas of reliable types, and the speculation of curves and surfaces and it illustrates those recommendations via "reals international" applications.
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Additional info for 3D CAD: Principles and Applications
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. The adjacency relationships between these four topological elements are determined by the element use. 12 illustrates the concept of the radial-edge structure.
These patches are very efficient when connecting a free-form surface like a Bezier surface and a quadric surface like a cylindrical surface. When the use of many kinds of surface types is required, it can be troublesome having to process each type of curve and surface. This happens in the subordinate modules, where curves and surfaces are processed by using the optimum method for each type. To minimize this problem, generalized curves and surfaces are introduced in DESIGN BASE. For this reason also, generalized curves and surfaces are used in superordinate modules of modeling.
4. In a B-reps based system, both topological and geometric elements have to be considered. For example, when executing a Boolean operation, both the intersection curves (geometric elements) between two curved surfaces, and the edges (topological elements) created on the intersection curves have to be considered. 2 Data structures of boundary representations This subsection describes the data structures that efficiently store B-reps based solid models. 4 Data Structure of Boundary Representations Topological elements 29 Geometric elements Fig.