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Polyhedron Partitioning Dedicated to a Hierarchical Meshing Technique

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Integrated Design and Manufacturing in Mechanical Engineering ’98

Abstract

In the last few years, polyhedral representations have been widely used for geometric modelling. Handling this type of model is quite complex and it is often necessary to adjust the polyhedron to the purpose of its future uses. A lot of treatments have been developed in the recent years in order to ease their manipulation. The aim of this paper is to present a new method of polyhedron partitioning. This treatment is used in an approach for the generation of hierarchical polyhedral representations. This method uses an arbitrary polyhedron which is subdivided into several parts with respect to its geometric features. The first stage of this method simplifies the initial polyhedral representation of the object. Then, thanks to a concept of inheritance and dependency lists built during the simplification process, a first draft of the partitions is obtained. The last stage introduces some optimisation tools to improve the boundaries and the shape of partitions. The partitions thus created can be easily incorporated into a hierarchical mesh generation process.

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© 1999 Springer Science+Business Media Dordrecht

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Maza, S., Noel, F., Leon, J.C., Sillion, F. (1999). Polyhedron Partitioning Dedicated to a Hierarchical Meshing Technique. In: Batoz, JL., Chedmail, P., Cognet, G., Fortin, C. (eds) Integrated Design and Manufacturing in Mechanical Engineering ’98. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9198-0_24

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  • DOI: https://doi.org/10.1007/978-94-015-9198-0_24

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5342-8

  • Online ISBN: 978-94-015-9198-0

  • eBook Packages: Springer Book Archive

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