Computation of the axial view of a set of isothetic parallelepipeds

  • Authors:
  • Franco P. Preparata;Jeffrey S. Vitter;Mariette Yvinec

  • Affiliations:
  • Univ. of Illinois, Urbana;Brown Univ., Providence, RI;Ecole Normale Supe´rieure, Paris, France

  • Venue:
  • ACM Transactions on Graphics (TOG)
  • Year:
  • 1990

Quantified Score

Hi-index 0.00

Visualization

Abstract

We present a new technique to display a scene of three-dimensional isothetic parallelepipeds (3D-rectangles), viewed from infinity along one of the coordinate axes (axial view). In this situation, there always exists a topological sorting of the 3D-rectangles based on the relation of occlusion (a dominance relation). The arising total order is used to generate the axial view, where the two-dimensional view of each 3D-rectangle is incrementally added, starting from the closest 3D-rectangle. The proposed scene-sensitive algorithm runs in time O(N log2N + d log N), where N is the number of 3D-rectangles and d is the number of edges of the display. This improves over the previously best known technique based on the same approach.