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Convexity of marginal functions in the discrete case
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Visual Information and Interaction. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computerized Image Analysis and Human-Computer Interaction.
Stockholm University.
2017 (English)In: Analysis Meets Geometry / [ed] Mats Andersson, Jan Boman, Christer Kiselman, Pavel Kurasov, Ragnar Sigurdsson, Birkhäuser Verlag, 2017Chapter in book (Refereed)
Abstract [en]

We define, using difference operators, classes of functions defined on the set of points with integer coordinates, which are preserved under the formation of marginal functions. The duality between classes of functions with certain convexity properties and families of second-order difference operators plays an important role and is explained using notions from mathematical morphology.

Place, publisher, year, edition, pages
Birkhäuser Verlag, 2017.
Keyword [en]
Marginal function, discrete convexity, difference operators, A-lateral convexity, rhomboidal convexity, mathematical morphology, infimal convolution
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-306894OAI: oai:DiVA.org:uu-306894DiVA: diva2:1044663
Note

www.cb.uu.se/~kiselman

Available from: 2016-11-04 Created: 2016-11-04 Last updated: 2016-11-14

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