Compensated Convex-Based Transforms for Image Processing and Shape Interrogation

Antonio Orlando (), Elaine Crooks () and Kewei Zhang ()
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Antonio Orlando: Universidad Nacional de Tucumán, CONICET, Departamento de Bioingeniería
Elaine Crooks: Swansea University, Department of Mathematics
Kewei Zhang: University of Nottingham, School of Mathematical Sciences

Chapter 51 in Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging, 2023, pp 1827-1886 from Springer

Abstract: Abstract This paper reviews some recent applications of the theory of the compensated convex transforms or of the proximity hull as developed by the authors to image processing and shape interrogation with special attention given to the Hausdorff stability and multiscale properties. This paper contains also numerical experiments that demonstrate the performance of our methods compared to the state-of-art ones.

Keywords: Compensated convex transform; Moreau envelope; Proximity hull; Mathematical morphology; Hausdorff-Lipschitz continuity; Image processing; Shape interrogation; Scattered data; 90C25; 90C26; 49J52; 52A41; 65K10; 62H35; 14J17; 58K25; 53-XX; 65D17; 53A05; 26B25; 52B55; 65D18 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-98661-2_106

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DOI: 10.1007/978-3-030-98661-2_106

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