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_id	5fe7
authors	Hoffmann C.M.
year	1989
title	Geometric and Solid Modeling
source	Morgan Kaufmann
summary	Solid modeling is rapidly emerging as a central area of research and de- velopment in such diverse applications as engineering and product design, computer-aided manufacturing, electronic prototyping, o -line robot pro- gramming, and motion planning. All these applications require represent- ing the shapes of solid physical objects, and such representations and basic operations on them can be provided by solid modeling. As a eld, solid modeling spans several disciplines, including mathemat- ics, computer science, and engineering. In consequence, it is a broad subject that must accommodate a diversity of viewpoints and has to meet a diversity of goals. Sometimes, this diversity of goals can lead to con icting demands. Current thinking on the subject views the proper resolution of these con- icts to be application-dependent. That is, it is no longer thought realistic to envision a comprehensive solid-modeling system that satis es the needs of all potential users. Rather, as it is argued, we should concentrate on con- structing a software environment in which many tools for geometric and solid computation are available and can be combined with ease as appropriate for the speci c application under consideration.
series	other
last changed	2003/04/23 15:14

_id	22bd
authors	Hoffmann, C.M., Hopcroft, J.E. and Karasick, M.S.
year	1989
title	Robust Set Operations on Polyhedral Solids
source	IEEE Computer Graphics and Applications. November, 1989. vol. 9: pp. 50-59 : ill. includes bibliography
summary	The paper describes an algorithm for performing regularized Boolean operations on polyhedral solids. Robustness is achieved by adding symbolic reasoning as a supplemental step to resolve possible numerical uncertainty. Additionally, numerical redundancy and numerical computation based on derived quantities are reduced as much as possible. It also discusses the authors' experience with the implementation of the algorithm
keywords	algorithms, polyhedra, solids, representation, computational geometry, geometric modeling, boolean operations
series	CADline
last changed	2003/06/02 14:41

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