By Partha Bhowmick, Sahadev Bera, Bhargab B. Bhattacharya (auth.), Petra Wiederhold, Reneta P. Barneva (eds.)
This quantity constitutes the refereed complaints of the thirteenth foreign Workshop on Combinatorial snapshot research, IWCIA 2009, held in Playa del Carmen, Mexico, in November 2009.
The 32 revised complete papers and one invited paper provided have been conscientiously reviewed and chosen from 70 preliminary submissions. The papers are equipped in topical sections on electronic geometry: curves, straightness, convexity, geometric alterations, metrics, distance transforms and skeletons, segmentation, thinning, skeletonization, photograph illustration, processing, research, reconstruction and popularity, electronic tomography, photograph versions according to geometry, combinatorics, arithmetics, algebra, mathematical morphology, topology and grammars, in addition to electronic topology and its functions to snapshot modeling and analysis.
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Extra info for Combinatorial Image Analysis: 13th International Workshop, IWCIA 2009, Playa del Carmen, Mexico, November 24-27, 2009. Proceedings
San Francisco (1979) 12. : The Vertices of the Knapsack Polytope. Discrete Applied Mathematics 6, 135–138 (1983) ¨ 13. : Uber Gitterpunkte and konvexe Kurven. Math. Zeitschrift 24, 500–518 (1925) 14. : The Maximum Numbers of Facets of a Convex Polytope. Mathematika 17, 179–184 (1970) 15. : Combinatorial Optimization. Prentice-Hall, New Jersey (1982) 16. : Computational Geometry: An Introduction. Springer, New York (1985) 17. : On the Unlimited Number of Faces in Integer Hulls of Linear Programs with a Single Constraint.
Right) an α-thick digital segment, with α = 5. 3 α -Thick Digital Arcs We wish to extend this notion of parametrized thickness to a circular digital primitive. In , Hilaire and Tombre deﬁne a fuzzy digital arc as a set of pixels ”close enough” to a circular arc of the real plane, with some constraints. These constraints limit the recognition of digital arcs to rather thin ones, which does not suit our usage. Hence we use another approach. According to the work of Andrs , a digital ring is the set of all digital points comprised between two concentric euclidean circles (see Fig.
The isothetic thickness of a convex hull is the minimum between its horizontal width and its vertical height. Figure 2 shows an example of an α-thick digital segment. This deﬁnition allows us to break the rigidity of arithmetical DSS. The value of α is a parameter and must be ﬁxed in advance. An eﬃcient algorithm which tests if a set of points is an α-thick digital segment is given in . Its time complexity is O(log n). Multi-primitive Analysis of Digital Curves 33 Convex hull of the set of pixels Vertical Thickness Horizontal Thickness Slope of the convex hull Isothetic Thickness of the convex hull Fig.