Visibility Computations on Hierarchical Triangulated Terrain Models

  • Authors:
  • Leila De Floriani;Paola Magillo

  • Affiliations:
  • Dipartimento di Informatica e Scienze dell‘Informazione, Universita` di Genova, Via Dodecaneso, 35 - 16146 Genova (Italy);Dipartimento di Informatica e Scienze dell‘Informazione, Universita` di Genova, Via Dodecaneso, 35 - 16146 Genova (Italy)

  • Venue:
  • Geoinformatica
  • Year:
  • 1997

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Abstract

Hierarchical terrain models provide a multiresolution descriptionof a topographic surface based on a nested partition of the domain. Thetree-like structure of these models is an effective support to processingspatial operations. In this paper, we consider visibility computations onhierarchical terrain models based on triangular subdivisions, calledHierarchical Triangulated Irregular Networks (HTINs). We address two basicproblems in visibility computation, namely determining the visibility of aquery object, and computing the viewshed of a given viewpoint. We proposealgorithms for performing such operations on an HTIN at variable resolution.A general drawback of hierarchical models is in the inconsistency ofrepresentations at variable resolution obtained from them, since verticalgaps may occur at edges where different resolutions meet. The algorithmsproposed here avoid this undesired effect. A related, but independent,contribution of this paper is also a new algorithm for extracting aconsistent terrain representation at variable resolution from an HTIN.