By Valentin Gies, Thierry M. Bernard (auth.), Eric Andres, Guillaume Damiand, Pascal Lienhardt (eds.)

This booklet constitutes the refereed lawsuits of the twelfth overseas convention on Discrete Geometry for machine Imagery, DGCI 2005, held in Poitiers, France in April 2005.

The 36 revised complete papers awarded including an invited paper have been rigorously reviewed and chosen from fifty three submissions. The papers are equipped in topical sections on functions, discrete hierarchical geometry, discrete tomography, discrete topology, item houses, reconstruction and popularity, doubtful geometry, and visualization.

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Extra info for Discrete Geometry for Computer Imagery: 12th International Conference, DGCI 2005, Poitiers, France, April 13-15, 2005. Proceedings

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Two segmentations using different edge’s pass values Fig. 4. The levels in each pyramid have been selected such as the white bar on the left of Fig. 2(a) forms only one region at the level above. Much more meaningful details are preserved in Fig. 2(c) which thus better fit to the intuitive notion of contour’s saliency. This phenomena is due to the edge’s pass value which do not take into account minima with a small volume within the profile of the contours. Note that the operations used to obtain Fig.

The levels in each pyramid have been selected such as the white bar on the left of Fig. 2(a) forms only one region at the level above. Much more meaningful details are preserved in Fig. 2(c) which thus better fit to the intuitive notion of contour’s saliency. This phenomena is due to the edge’s pass value which do not take into account minima with a small volume within the profile of the contours. Note that the operations used to obtain Fig. g. [15]) while Fig. 2(c) is obtained using both the geometrical and topological features of Combinatorial Pyramids.

We have tested a discrete data structure implemented through classical matrices. Since we avoid enumeration, we get more efficient computing times : using automata, models are obtained after at least 2 hours instead of 1 second at most using discrete geometry. Figure 9 shows ΩR (Γ ) for a two-tasks system sharing a resource. While avoiding enumeration in the discrete model, we reach very efficient computation time. As a comparison, for a seven task system sharing four resources, computing the automaton model takes more than 2 hours while the computation of the discrete modele last less than 1 second.

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