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Constructing iso-surfaces satisfying the Delaunay constraint. Application to the skeleton computation

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2 Author(s)
D. Attali ; Lab. des Images et des Signaux, ENSIEG, Saint-Martin d'Heres, France ; J. -O. Lachaud

We design a new model for an image iso-surface which lies in the Delaunay graph of its vertices. Within each 8-cube of the image, a set of loops is computed according to the connectedness chosen for inner and outer voxels. Next, a triangulation is computed which respects the local geometry of these loops. Efficiency is obtained through the use of a look-up table which summarizes the algebraic tests that are required of each case. The inclusion of the iso-surface in the Delaunay triangulation has significant consequences. We derive a volume representation of the object, along with its skeleton. An example depicts the complete construction of our iso-surface, volume representation and skeleton computation

Published in:

Image Analysis and Processing, 1999. Proceedings. International Conference on

Date of Conference:

1999