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An Optimal Hidden-Surface Algorithm and Its Parallelization

  • F. Dévai
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6784)

Abstract

Given a collection of non-intersecting simple polygons possibly with holes and with a total of n edges in three-dimensional space; parallel algorithms are given for the problems called hidden-line and hidden-surface removal in computer graphics. More precisely, algorithms are proposed to find the portions of the edges visible from (0,0, ∞ ) and to find the upper envelope (i.e., the pointwise maximum) of the polygons. The proposed solution for the hidden-line problem is the parallelization of the optimal sequential algorithm given by Dévai in 1986. As the optimal sequential algorithm for the hidden-surface problem given by McKenna in 1987 is rather involved, a new optimal sequential algorithm is proposed, which is amenable to parallelization and might also have practical significance in its own right. Both of the parallel hidden-line and hidden-surface algorithms take Θ(logn) time using n 2/logn CREW PRAM processors.

Keywords

Black Hole Parallel Algorithm Simple Polygon Left Endpoint Random Access Machine 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • F. Dévai
    • 1
  1. 1.London South Bank UniversityLondonUK

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