By Walter G. Kropatsch (auth.), Achille Braquelaire, Jacques-Olivier Lachaud, Anne Vialard (eds.)
This ebook constitutes the refereed complaints of the tenth foreign convention on electronic Geometry for machine Imagery, DGCI 2002, held in Bordeaux, France, in April 2002.
The 22 revised complete papers and thirteen posters awarded including three invited papers have been conscientiously reviewed and chosen from sixty seven submissions. The papers are geared up in topical sections on topology, combinatorial snapshot research, morphological research, form illustration, types for discrete geometry, segmentation and form attractiveness, and functions.
Read or Download Discrete Geometry for Computer Imagery: 10th International Conference, DGCI 2002 Bordeaux, France, April 3–5, 2002 Proceedings PDF
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Additional info for Discrete Geometry for Computer Imagery: 10th International Conference, DGCI 2002 Bordeaux, France, April 3–5, 2002 Proceedings
If q and r are the two points of α − p, then q and r satisfy the following conditions. CQC3a q and r are 18-adjacent to a point in γd − α. CQC3b No point in γd − α is 18-adjacent to both q and r. CQC4 For each point p in γd which is 18-adjacent to at least three points of γd , there exists a non-trivial partition of N18 (p) ∩ γd into two non-empty subsets α and β such that the following conditions hold. CQC4a The points of α are pairwise 18-adjacent. CQC4b The points of β are pairwise 18-adjacent.
This stems form the fact that “remove bridge” creates a new component, and it is not trivial to decide which ϕ orbit becomes the exterior face of the new component. Due to space constraints, the algorithm must be skipped, see again . 5 Block Complexes and Topological Segmentation In definition 3, block complexes are defined on top of cell complexes. e. holes in regions are not allowed) and each 0-block to consist of a single 0-cell (and thus the maximum degree of 0-blocks is bounded by the 0-cell’s degree – so junctions XPMaps and Topological Segmentation 31 cords Fig.
Then ZZ 2 − γd has exactly two l-components, each of which is l-connected to every point of γd . A curve for which Theorem 1 holds is called a simple curve. Since a Jordan curve in IR2 is a one-manifold, it is possible to derive an analogous deﬁnition of “one-manifold” discrete closed curves from the theorem. These are ﬁnite curves in ZZ 2 for which the theorem holds: Deﬁnition 1 (Simple Closed Curve in ZZ 2 ). A simple closed curve γd is a ﬁnite set of points in ZZ 2 for which the following conditions hold.