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Titlebook: Discrete Geometry for Computer Imagery; 21st IAPR Internatio Michel Couprie,Jean Cousty,Nabil Mustafa Conference proceedings 2019 Springer

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0302-9743 ed in topical sections on discrete geometric models and transforms; discrete topology; graph-based models, analysis and segmentation; mathematical morphology; shape representation, recognition and analysis; and geometric computation..978-3-030-14084-7978-3-030-14085-4Series ISSN 0302-9743 Series E-ISSN 1611-3349
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S. Ivvan Valdez,Felipe Trujillo-Romeronot require smoothness hypotheses and shares several properties with the par(.)-regularity, in particular well-composed digitizations. Besides, the local turn-boundedness enables to constraint spatially the continuous curve in function of its digitization.
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Digital Two-Dimensional Bijective Reflection and Associated Rotation an arbitrary Euclidean point and a straight line passing through this point. The reflection line is digitized and the 2D space is paved by digital perpendicular (to the reflection line) straight lines. For each perpendicular line, integer points are reflected by central symmetry with respect to the
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Facet Connectedness of Arithmetic Discrete Hyperplanes with Non-Zero Shift numeration system associated with the normal vector . and we describe an incremental construction of the plane based on this encoding. We deduce a connectedness criterion and we show that when the . algorithm applied to . has a periodic behaviour, the encodings of shifts . for which the plane is co
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Local Turn-Boundedness: A Curvature Control for a Good Digitization rely on smoothness hypotheses that are not verified by the curves including angular points. The notion of . introduced by Milnor in the article . generalizes the notion of integral curvature to continuous curves. Thanks to the turn, we are able to define the .. This promising property of curves do
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Distance Transform Based on Weight Sequencestance functions. Working on the digital space, e.g., on the square grid, . distance functions are defined by minimal cost-paths, which can be processed (back-tracked etc.) without any errors or approximations. Recently, digital distance functions defined by weight sequences, which is a concept allow
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