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

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Convergent Geometric Estimators with Digital Volume and Surface Integralsll methods rely on digital integrals, which approach either volume integrals or surface integrals along shape boundary. With such tools, we achieve multigrid convergent estimators of volume, moments and area in ., of normals, curvature and curvature tensor in . and ., and of covariance measure and normals in . even with Hausdorff noise.

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-Simple Points and General-Simple Deletion Ruless of equivalent topology-preserving parallel and sequential reductions in arbitrary binary pictures. This paper bridges .-simple points and general-simple deletion rules: we show that some deletion rules that delete .-simple points are general-simple, and each point deleted by a general-simple deletion rule is .-simple.

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0302-9743 escriptors; models fordiscrete geometry; circle drawing; morphological analysis; geometrictransforms; and discrete shape representation, recognition and analysis..978-3-319-32359-6978-3-319-32360-2Series ISSN 0302-9743 Series E-ISSN 1611-3349

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Number of Words Characterizing Digital Balls on the Triangular Tiling, the possible paths that define a ball form a more complicated set, a kind of generalized trace. The linearizations of these traces are described by an associative rewriting system, and, as a main combinatorial result, the number of words that define the same ball is computed.

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泰然自若

Christopher Sürie,Michael Wagner combined frameworks of discrete calculus and modern optimisation allow us to formulate and provide solutions to many of these problems in an elegant way. This tutorial article summarizes and illustrates some of the research results of the last decade from this point of view. We provide illustrations and major references.

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Discrete Calculus, Optimisation and Inverse Problems in Imaging combined frameworks of discrete calculus and modern optimisation allow us to formulate and provide solutions to many of these problems in an elegant way. This tutorial article summarizes and illustrates some of the research results of the last decade from this point of view. We provide illustrations and major references.