Publication

Towards shape representation using trihedral mesh projections

Journal Article (2003)

Journal

The Visual Computer

Pages

139-150

Volume

19

Number

2

Doc link

http://dx.doi.org/10.1007/s00371-002-0176-9140

File

Download the digital copy of the doc pdf document

Abstract

This paper explores the possibility of approximating a surface by a trihedral polygonal mesh plus some triangles at strategic places. The presented approximation has attractive properties. It turns out that the Z-coordinates} of the vertices are completely governed by the Z-coordinates assigned to four selected ones. This allows describing the spatial polygonal mesh with just its 2D projection plus the heights of four vertices. As a consequence, these projections essentially capture the “spatial meaning” of the given surface, in the sense that, whatever spatial interpretations are drawn from them, they all exhibit essentially the same shape.

Categories

pattern recognition.

Scientific reference

L. Ros, K. Sugihara and F. Thomas. Towards shape representation using trihedral mesh projections. The Visual Computer, 19(2): 139-150, 2003.