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 promises a aggressive side within the improvement of latest items. This booklet offers the advance of a 3-dimensional CAD approach and its wide variety of functions. It describes the options of strong versions, and the idea of curves and surfaces and it illustrates those suggestions via "reals international" applications.
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Extra resources for 3D CAD: Principles and Applications
SOLID MODELER DESIGNBASE (c) When an edge (E) is viewed from the outside of a solid, other edges connected to that edge can be referenced in the same direction, usually clockwise (EE adjacency relationship). (a) (b) (c) Fig. 5. 5, it is evident that the data structure of any of the three adjacency relationships is sufficient when representing a solid model in a computer. 6. Face Fs (a) Edge Fl El - E4 - E3 - E2 F2 E2 - E7 - Es F3 E3- E S- E7 F4 E4 - Es - Es Fs El - E6 - Es (b) Fig. 6. Data structure in which a face owns all of its surrounding edges In this data structure, a face owns all of its surrounding edges in such order, that the structure can be intuitively understood.
Furthermore, in DESIGNBASE the face and loop of the topological elements are not differentiated. , a loop. There are two types of loops: P-Ioop (parent-loop) for the outer boundaries 34 3. 13. Edge data structure in DESIGNBASE of a face and C-loop (child-loop) for the inner boundaries (the rings). 14. Lparen~ OJ edge L OJ edge child-loop parent-loop child-loop surface (b) (a) Fig. 14. 15. P-Ioop I ,---'-------'----,I-I ----------= C-Ioop 1 C-Ioop 2 I-I C-Ioop 3 1- 0 Fig. 15. List structure between P-Ioop and C-Ioop The data structures of the four topological elements used in DESIGN BASE - body, loop, edge, and vertex - are shown below.
9). '" cweh ccweh f oeh (a) (b) Fig. 8. 8 the half-edge structure. 10, the face-edge structure can represent the state where only one vertex (V) exists in space. 32 3. SOLID MODELER DESIGNBASE '~""" v .... -Q-•••• loeh i f ccweh cweh Edge Half Table v cweh ccweh f oeh (b) (a) Fig. 9. Vertex-edge structure Edge Half Table v : V cweh: EH ccweh: EH f : F oeh : - (a) (b) Fig. 10. How to represent one vertex by the face-edge structure Weiler and Woo have put forward arguments on the winged-edge and faceedge structures; about their capacities for data structures and their efficiencies to access data[158,164).
3D CAD: Principles and Applications by Dr. Hiroshi Toriya, Prof. Dr. Hiroaki Chiyokura (auth.), Dr. Hiroshi Toriya, Prof. Dr. Hiroaki Chiyokura (eds.)