Choquet integrals as projection operators for quantified tomographic reconstruction

DOI10.1016/J.FSS.2008.03.020zbMath1186.68526OpenAlexW2006109237MaRDI QIDQ1037856

Olivier Strauss, Denis Mariano-Goulart, Agnès Rico

Publication date: 17 November 2009

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://hal-lirmm.ccsd.cnrs.fr/lirmm-00366788/file/RicoStraussMariano08A.pdf

zbMATH Keywords

quantificationRadon transformcapacityChoquet integralhough transformsingle photon emission computed tomography

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Biomedical imaging and signal processing (92C55) Radon transform (44A12) Fuzzy measure theory (28E10)

Related Items (2)

Multidimensional possibility/probability domination for extending maxitive kernel based signal processing ⋮ On Maxitive Image Processing

Cites Work

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• Non-additive measure and integral
• Probability-possibility transformations, triangular fuzzy sets, and probabilistic inequalities
• Theory of capacities
• CHOQUET INTEGRAL MODELS AND INDEPENDENCE CONCEPTS IN MULTIATTRIBUTE UTILITY THEORY
• B-spline signal processing. I. Theory
• Nonparametric Statistical Data Modeling
• Integral Representation Without Additivity

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