Distance-preserving mapping of patterns to 3-space

  • Authors:
  • Li Yang

  • Affiliations:
  • Department of Computer Science, Western Michigan University, 1903 W Michigan Avenue, Kalamazoo, MI

  • Venue:
  • Pattern Recognition Letters
  • Year:
  • 2004

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Abstract

The triangulation method is extended to a tetrahedron method for the distance-preserving mapping of high dimensional data points to 3-space. Each point is mapped so that its distances to three already mapped points are preserved. The choices of these points give a set of ways to display both local and global information. Example applications in pattern analysis are discussed.