Elements of Digital Geometry, Mathematical Morphology, and Discrete Optimization

DOI10.1142/12584zbMath1495.52001OpenAlexW3198146320MaRDI QIDQ5029689

Christer O. Kiselman

Publication date: 14 February 2022

Full work available at URL: https://doi.org/10.1142/12584

zbMATH Keywords

dualityGalois connectionmathematical morphologydigital geometryinfimal convolutionskeletonizationdistance transformdigitizationKhalimsky topologydigital lineMoore familyintegral convexityanoiktomorphismcleistomorphism

Mathematics Subject Classification ID

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to computer science (68-01) Nonconvex programming, global optimization (90C26) Combinatorics on words (68R15) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operations research and mathematical programming (90-01) Discrete geometry (52C99) Convexity of real functions of several variables, generalizations (26B25) Galois correspondences, closure operators (in relation to ordered sets) (06A15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordered structures (06-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to convex and discrete geometry (52-01) Applications of general topology to computer science (e.g., digital topology, image processing) (54H30)

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