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Modeling in Computer Graphics pp 93–109Cite as

B-rep of Plane Regions: Pristine Problems in Computational Geometry and Topology

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Part of the book series: IFIP Series on Computer Graphics ((IFIP SER.COMP.))

Abstract

This paper describes the computation of topological representations of plane partitions induced by finite collections of plane parametric curves. The computation of this arrangement is described through the solutions of six different simpler problems. The final output obtained is a data structure called an rp-tree. An rp-tree captures contention, incidence, connection and bounding relations between 2D open regions, contours defined by oriented parametric curves and points. It is shown how to label the nodes of an rp-tree which results from boolean operations between plane regions; this labeling reflects the precise “history” of output regions as a function of the names of regions in an arbitrary finite boolean expression.

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Author information

Authors and Affiliations

  1. Unidad de Cómputo, Instituto de Investigaciones Eléctricas, Cuernavaca, 62000, Mexico

    Gerardo León Lastra & J. Sergio Santana-Sepúlveda

Authors
  1. Gerardo León Lastra
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  2. J. Sergio Santana-Sepúlveda
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Editor information

Editors and Affiliations

  1. Department of Information Science, Faculty of Science, University of Tokyo, Tokyo 113, Japan

    Tosiyasu L. Kunii

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© 1991 IFIP International Federation for Information Processing, 16 place Longemalle, CH-1204 Geneva, Switzerland

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Lastra, G.L., Santana-Sepúlveda, J.S. (1991). B-rep of Plane Regions: Pristine Problems in Computational Geometry and Topology. In: Kunii, T.L. (eds) Modeling in Computer Graphics. IFIP Series on Computer Graphics. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68147-2_6

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  • DOI: https://doi.org/10.1007/978-4-431-68147-2_6

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-68149-6

  • Online ISBN: 978-4-431-68147-2

  • eBook Packages: Springer Book Archive

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