Solid Modeling Based on a New Paradigm

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dc.contributor.authorYoshida, Norimasaen_US
dc.contributor.authorShiokawa, Masatoen_US
dc.contributor.authorYamaguchi, Fujioen_US
dc.date.accessioned2014-10-21T07:31:25Z
dc.date.available2014-10-21T07:31:25Z
dc.date.issued1994en_US
dc.description.abstractThe technique of solid modeling is essential in CAD/CAM applications, and is currently well established. However, problems remain, such as the lack of uniformity in geometric computations and the lack of stability of Boolean operations of two solids. In this paper, we introduce a theoretical solid modeling system that operates on boundary representations of polyhedral objects and is based on a new paradigm. The characteristics of the system are the following: (I) in Boolean Operations and modeling transformations, all geometric computations are performed by the 4 ? 4 determinant method or the 4 ? 4 matrix method in homogeneous space, which allows the system to avoid division operations, (2) all geometric computations are performed by the exact integer arithmetic, which makes the geometric algorithms stable and simple, and (3) primitive solids are constructed consistently in the integer domain, and the consistency is assured throughout Boolean operations and transformations.en_US
dc.description.number3en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume13en_US
dc.identifier.doi10.1111/1467-8659.1330055en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages55-64en_US
dc.identifier.urihttps://doi.org/10.1111/1467-8659.1330055en_US
dc.publisherBlackwell Science Ltd and the Eurographics Associationen_US
dc.titleSolid Modeling Based on a New Paradigmen_US
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EG 1994 Conference Proceedings