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Multiresolution indexing of triangulated irregular networks.

John J Bartholdi1, Paul Goldsman

  • 1School of Industial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0205, USA. john.bartholdi@isye.gatech.edu

IEEE Transactions on Visualization and Computer Graphics
|June 27, 2008
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Summary

We developed a continuous, one-dimensional index for triangulated irregular networks (TINs). This method orders triangles and uses space-filling curves for efficient, local refinement, enhancing graphical surface detail.

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Area of Science:

  • Computer Graphics
  • Computational Geometry

Background:

  • Triangulated Irregular Networks (TINs) are fundamental data structures in geographic information systems and computer graphics.
  • Efficiently indexing and accessing points within TINs is crucial for various spatial analysis and rendering tasks.

Purpose of the Study:

  • To introduce a novel method for creating a continuous, one-dimensional index for points on a TIN.
  • To enable efficient local refinement of the index for hierarchical TIN structures.

Main Methods:

  • A specific ordering of triangles is established, ensuring adjacency through shared vertices or edges.
  • Space-filling curves are employed to continuously index the space within each triangle.
  • The orientation of the space-filling curve is optimized for seamless transitions between adjacent triangles.

Main Results:

  • A continuous, one-dimensional index for TINs has been successfully constructed.
  • The indexing method supports efficient local refinement, particularly for hierarchical TINs.
  • The approach facilitates seamless transitions and data management in elaborating graphical surface details.

Conclusions:

  • The proposed indexing method provides an effective way to represent and access data within TINs.
  • This technique is particularly beneficial for applications requiring adaptive detail and efficient spatial querying.
  • The continuous indexing scheme offers a robust foundation for advanced graphical surface modeling and analysis.