Complexity of discrete surfaces in the Dividing-cubes algorithm

  • Fatima Boumghar
  • Serge Miguet
  • Jean-Marc Nicod
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1176)


The main result of this paper is to exhibit a complexity model for discrete surfaces obtained by regular subdivisions of cells. We use it for estimating the number of points that will be generated by the Dividing-Cubes algorithm to represent the surface of 3D medical objects. Under the assumption that surfaces have uniform orientations in the space, and can be locally compared to planes, we show that their average number of points is a quadratic function of the subdivision factors. We give analytical expressions for the coefficients of the quadratic form.


Polygon Mesh Discrete Surface IEEE Computer Graphic Regular Subdivision Distribute Memory Machine 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Fatima Boumghar
    • 1
  • Serge Miguet
    • 2
  • Jean-Marc Nicod
    • 3
  1. 1.LASIE-AlgerU.S.T.H.B. Bab-EzzouarAlgerAlgeria
  2. 2.Laboratoire ERIC Bât. LUniversité Lyon-2BronFrance
  3. 3.Ecole Normale Supérieure de LyonLIP, URA CNRS 1398Lyon Cedex 7France

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