Geometric optimization

  • Authors:
  • Paul Hinker;Charles Hansen

  • Affiliations:
  • Los Alamos National Laboratory, Los Alamos, NM;Los Alamos National Laboratory, Los Alamos, NM

  • Venue:
  • VIS '93 Proceedings of the 4th conference on Visualization '93
  • Year:
  • 1993

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Abstract

An algorithm is presented which describes an application independent method for reducing the number of polygonal primitives required to faithfully represent an object. Reducing polygon count without a corresponding reduction in object detail is important for: achieving interactive frame rates in scientific visualization, reducing mass storage requirements, and facilitating the transmission of large, multi-timestep geometric data sets. This paper shows how coplanar and nearly coplanar polygons can be merged into larger complex polygons and re-triangulated into fewer simple polygons than originally required. The notable contributions of this paper are: 1) a method for quickly grouping polygons into nearly coplanar sets, 2) a fast approach for merging coplanar polygon sets and, 3) a simple, robust triangulation method for polygons created by 1 and 2. The central idea of the algorithm is the notion of treating polygonal data as a collection of segments and removing redundant segments to quickly from polygon hulls which represent the merged coplanar sets.