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Titlebook: Discrete Geometry for Computer Imagery; 19th IAPR Internatio Nicolas Normand,Jeanpierre Guédon,Florent Autrusse Conference proceedings 2016

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Curve Digitization Variabilityation step. An upper bound for the cardinal of this digitization set under the translation group action is exhibited. Then this bound is tested on several functions. Finally, a representation of this digitization set is proposed and an illustration of its potential use is given on a length estimator.
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Convergent Geometric Estimators with Digital Volume and Surface Integralsuantities like volume and area, and on local geometric quantities like normal and curvatures. All presented methods have the common property to be ., i.e. the estimated quantities tend to their Euclidean counterpart on finer and finer digitizations of (smooth enough) Euclidean shapes. Furthermore, a
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Generation of Digital Planes Using Generalized Continued-Fractions Algorithmsursive construction of digital lines to dimension three. Given a pair of numbers, Euclid’s algorithm provides a natural definition of continued fractions. In dimension three and above, there is no such canonical definition. We propose a pair of hybrid continued fractions algorithms and show geometri
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Curve Digitization Variabilityation step. An upper bound for the cardinal of this digitization set under the translation group action is exhibited. Then this bound is tested on several functions. Finally, a representation of this digitization set is proposed and an illustration of its potential use is given on a length estimator
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Discretizations of Isometrieszations of a generic sequence of isometries. We show that this density tends to 0 as the time goes to infinity. Thus, in general, all the information of a numerical image will be lost by applying many times a naive algorithm of rotation.
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A Tomographical Interpretation of a Sufficient Condition on ,-Graphical Sequencesn its cardinality..A fundamental and widely investigated notion related both to graphs and to hypergraphs is the characterization of their degree sequences, that is the lists of their vertex degrees..Concerning graphs, this problem has been solved in a classical study by Erdős and Gallai, while no e
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Geometrical Characterization of the Uniqueness Regions Under Special Sets of Three Directions in Disctions, is a challenging task. Some theoretical results prevent, in general, both to perform the reconstruction sufficiently fast, and, even worse, to be sure to obtain, as output, the unknown starting object. In order to reduce the number of possible solutions, one tries to exploit some a priori kn
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