By Valérie Berthé (auth.), Srečko Brlek, Christophe Reutenauer, Xavier Provençal (eds.)
This e-book constitutes the refereed lawsuits of the fifteenth IAPR overseas convention on Discrete Geometry for machine Imagery, DGCI 2009, held in Montréal, Canada, in September/October 2009.
The forty two revised complete papers have been conscientiously reviewed and chosen from a variety of submissions. The papers are equipped in topical sections on discrete form, illustration, attractiveness and research; discrete and combinatorial instruments for picture segmentation and research; discrete and combinatorial Topology; types for discrete geometry; geometric transforms; and discrete tomography.
Read Online or Download Discrete Geometry for Computer Imagery: 15th IAPR International Conference, DGCI 2009, Montréal, Canada, September 30 - October 2, 2009. Proceedings PDF
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Extra info for Discrete Geometry for Computer Imagery: 15th IAPR International Conference, DGCI 2009, Montréal, Canada, September 30 - October 2, 2009. Proceedings
This technique has been implemented and Fig. b illustrates the segmentation of a part of a digital ellipse into DCAs. For each DCA, the circle drawn is the smallest separating circle. 5 Conclusion A simple, online and linear-time algorithm is introduced to cope with three constrained problems: recognition of digital circular arcs coming from the digitization of a disk having either a given radius, a boundary that is incident to a given point or a center that is on a given straight line. In addition to its theoretical interest, solving such constrained problems is valuable for the recognition of digital circular arcs.
A digital contour C is a digital circle iﬀ there exists a Euclidean disk D(ω, r) that contains B but no points of ¯ B. Deﬁnition 2 is the analog of Deﬁnition 1 for parts of C. Definition 2 (Circular arc (Fig. c)). A part (Ci Cj ) of C (with i < j) is a circular arc iﬀ there exists a Euclidean disk D(ω, r) that contains B(Ci Cj ) but ¯(C C ) . no points of B i j This deﬁnition is equivalent to the one of Kovalevsky . Cj Ck Ci Ck+1 (a) (b) Cj (c) Ci (d) Fig. 2. (a) An elementary part. (b) A digital circle.
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