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Compensated Convex-Based Transforms for Image Processing and Shape Interrogation

Antonio Orlando, Elaine Crooks Orcid Logo, Kewei Zhang

Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging, Pages: 1827 - 1886

Swansea University Author: Elaine Crooks Orcid Logo

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DOI (Published version): 10.1007/978-3-030-98661-2_106

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...

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Published in: Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging
ISBN: 9783030986605 9783030986612
Published: Cham Springer International Publishing 2023
Online Access: http://dx.doi.org/10.1007/978-3-030-98661-2_106
URI: https://cronfa.swan.ac.uk/Record/cronfa63730
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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.
College: Faculty of Science and Engineering
Funders: AO acknowledges the partial financial support of the Argentinian Research Council (CONICET) through the project PIP 11220170100100CO, the National University of Tucumán through the project PIUNT CX-E625, and the FonCyT through the project PICT 2016 201-0105 Prestamo Bid. EC is grateful for the financial support of the College of Science, Swansea University, and KZ wishes to thank the University of Nottingham for its support.
Start Page: 1827
End Page: 1886

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