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Supercover 3D Polygon

  • Eric Andres
  • Claudio Sibata
  • Raj Acharya
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1176)

Abstract

A new discrete 3D polygon called Supercover Polygon is introduced. The polygon is a tunnel free plane segment defined by vertices and edges. An edge is a 3D line segment. Two different polygons can share a common edge and if they do, the union of both polygons is tunnel free. This is definition of discrete polygons that has the “most” properties in common with the continuous polygon. It seems particularly interesting for modelization of discrete scenes by way of digitization.

References

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    E.ANDRES and C.SIBATA, Discrete hyperplanes in arbitrary dimensions, submitted to CVGIP-GMIP.Google Scholar
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    E.ANDRES and C.SIBATA, Choice of Integer Part Function in Computer Graphics, submitted to IEEE TVCG.Google Scholar
  3. 3.
    D.COHEN and A.KAUFMAN, Fundamentals of surface voxelization, CVGIP-GMIP, vol. 57, n.6, Nov.95.Google Scholar
  4. 4.
    A.KAUFMAN, An algorithm for 3D scan conversion of polygons, Proc. of Eurographics'87, AMSTERDAM, 1987.Google Scholar
  5. 5.
    J-P. Reveilles, Geometrie Discrete, calcul en nombres entiers et algorithmique, State Thesis, Universite Louis Pasteur, Strasbourg, Dec. 1991.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Eric Andres
    • 1
    • 2
  • Claudio Sibata
    • 1
  • Raj Acharya
    • 2
  1. 1.Department of Radiation MedecineRoswell Park Cancer InstituteBuffaloUSA
  2. 2.Department of ECE. BioMedical Imaging GroupUniversity of New-York at BuffaloBuffaloUSA

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