The Visual Computer

, Volume 26, Issue 11, pp 1361–1368 | Cite as

The multi-LREP decomposition of solids and its application to a point-in-polyhedron inclusion test

  • Francisco MartínezEmail author
  • Antonio J. Rueda
  • Francisco R. Feito
Original Article


This paper presents a scheme for decomposing polyhedra called multi-LREP. The scheme is based on the L-REP decomposition, which classifies the triangular faces of a polyhedron into a set of layered tetrahedra. In the multi-LREP these layered tetrahedra are grouped into regions of a space subdivision. The paper also describes an efficient method for constructing the L-REP decomposition and how the multi-LREP can be applied to speed up two L-REP applications: the point-in-polyhedron inclusion test and the ray-scene intersection. An experimental comparison with other point-in-polyhedron tests is presented as well.

Spatial data structures Solid modeling Geometric algorithms 


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Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  • Francisco Martínez
    • 1
    Email author
  • Antonio J. Rueda
    • 1
  • Francisco R. Feito
    • 1
  1. 1.Departamento de InformáticaUniversidad de JaénJaénSpain

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