Read e-book online Solid Modeling by Computers: From Theory to Applications PDF

By Aristides A. G. Requicha (auth.), Mary S. Pickett, John W. Boyse (eds.)

ISBN-10: 1461297303

ISBN-13: 9781461297307

ISBN-10: 146132811X

ISBN-13: 9781461328117

This e-book comprises the papers offered on the foreign study sympo­ sium "Solid Modeling via pcs: From thought to Applications," held on the basic vehicles examine Laboratories on September 25-27, 1983. This was once the twenty eighth syposium in aseries which the examine Laboratories all started sponsor­ ing in 1957. each one symposium has eager about a subject matter that's either below lively research on the examine Laboratories and is additionally of curiosity to the bigger technical neighborhood. stable modeling continues to be a really younger examine quarter, younger even if com­ pared with different computer-related learn fields. Ten years in the past, few humans well-known the significance of having the ability to create entire and unambiguous laptop versions of mechanical elements. at the present time there's vast acceptance that computing device representations of solids are aprerequisite for the automation of many engineering analyses and production functions. In September 1983, the time was once ripe for a symposium in this topic. Re­ seek had already verified the efficacy of stable modeling as a device in machine computerized layout and production, and there have been major re­ fits wh ich might be offered on the symposium. but the sphere was once nonetheless younger sufficient that lets assemble theorists in stable modeling and practition­ ers employing reliable modeling to different examine components in a gaggle sm all sufficient to permit a stimulating trade of ideas.

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Additional info for Solid Modeling by Computers: From Theory to Applications

Example text

46-48 34 MICHAEL A. WESLEY and GEORGE MARKOWSKY sentation of the target object. A rather complex example is shown. Preiss described a heuristic search approach based on satisfaction of geometric and topological rules, but gave few details and only simple examples [Preiss 1980]. Markowsky and Wesley have designed, implemented, and used two polyhedral algorithms. The first, the wire frame algorithm [Markowsky and Wesley 1980], finds all polyhedral solids with a given wire frame. The second, the projections algorithm [Wesley and Markowsky 1981], finds all polyhedral so lids with a given set of orthogonal projections.

Bridges are ignored), for the handling of illegal intersections between virtual faces and in the final decision process. The correctness of objects is derived from the use of directed edges and faces, and from the rules governing the number of times and directions with which edges and faces are used. The several stages of the projections algorithm are now described. Since many of these stages are quite similar to the corresponding stages of the wire frame algorithm, details are given only for those points which are different.

A final decision process assigns state solid or hole to each virtual block (Figure 4(d», glues the solid blocks together, and finds all possible solid objects with the input wire frame. , it is inside out) and that is always a hole. , bridges are ignored), for the handling of illegal intersections between virtual faces and in the final decision process. The correctness of objects is derived from the use of directed edges and faces, and from the rules governing the number of times and directions with which edges and faces are used.

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Solid Modeling by Computers: From Theory to Applications by Aristides A. G. Requicha (auth.), Mary S. Pickett, John W. Boyse (eds.)


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