By Walter G. Kropatsch (auth.), Achille Braquelaire, Jacques-Olivier Lachaud, Anne Vialard (eds.)
This booklet constitutes the refereed court cases of the tenth foreign convention on electronic Geometry for computing device 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 photograph research, morphological research, form illustration, versions for discrete geometry, segmentation and form reputation, and purposes.
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Additional info for Discrete Geometry for Computer Imagery: 10th International Conference, DGCI 2002 Bordeaux, France, April 3–5, 2002 Proceedings
2 Deﬁnitions and Notations The n-dimensional discrete space ZZ n is constituted by the n-dimensional array of points with integer coordinates in the Cartesian coordinate system. A few deﬁnitions are given below particularly regarding ZZ 2 and ZZ 3 . These deﬁnitions can be easily modiﬁed and extended to a discrete space of higher dimension. Adjacency relations. Two points p(xp , yp ) and q(xq , yq ) of ZZ 2 , where (| xp − xq |≤ 1) ∧ (| yp − yq |≤ 1), are said to be 4-adjacent if | xp − xq | + | yp − yq |= 1, and 8-adjacent if 0 <| xp − xq | + | yp − yq |≤ 2.
Domenger: “Representation of Region Segmented Images with Discrete Maps”, Université Bordeaux, Laboratoire Bordelais de Recherche en Informatique, Technical Report 1127-96, 1996  G. Di Battista, P. Eades, R. G. -F. Dufourd, F. Puitg: “Functional specification and prototyping with oriented combinatorial maps”, Computational Geometry 16 (2000) 129-156  E. Khalimsky, R. Kopperman, P. Meyer: “Computer Graphics and Connected Topologies on Finite Ordered Sets”, J. Topology and its Applications, vol.
Preserving contours in dual pyramids. In Proc. 9th International Conference on Pattern Recognition, pages 563–565, Rome, Italy, November 1988. Soc.  W. G. Kropatsch. Property Preserving Hierarchical Graph Transformations. In C. Arcelli, L. P. Cordella, and G. Sanniti di Baja, editors, Advances in Visual Form Analysis, pages 340–349. World Scientiﬁc Publishing Company, 1997.  W. G. Kropatsch. From equivalent weighting functions to equivalent contraction kernels. In E. Wenger and L. I. Dimitrov, editors, Digital Image Processing and Computer Graphics (DIP-97): Applications in Humanities and Natural Sciences, volume 3346, pages 310–320.