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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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first_indexed 2023-06-28T09:31:16Z
last_indexed 2023-06-28T09:31:16Z
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spelling v2 63730 2023-06-28 Compensated Convex-Based Transforms for Image Processing and Shape Interrogation 5d95f710ec92af20339501c8a34175b6 0000-0002-9274-7528 Elaine Crooks Elaine Crooks true false 2023-06-28 SMA 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. Book chapter Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging 1827 1886 Springer International Publishing Cham 9783030986605 9783030986612 25 2 2023 2023-02-25 10.1007/978-3-030-98661-2_106 http://dx.doi.org/10.1007/978-3-030-98661-2_106 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 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. 2023-07-19T15:32:57.5962399 2023-06-28T10:26:16.6431634 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Antonio Orlando 1 Elaine Crooks 0000-0002-9274-7528 2 Kewei Zhang 3
title Compensated Convex-Based Transforms for Image Processing and Shape Interrogation
spellingShingle Compensated Convex-Based Transforms for Image Processing and Shape Interrogation
Elaine Crooks
title_short Compensated Convex-Based Transforms for Image Processing and Shape Interrogation
title_full Compensated Convex-Based Transforms for Image Processing and Shape Interrogation
title_fullStr Compensated Convex-Based Transforms for Image Processing and Shape Interrogation
title_full_unstemmed Compensated Convex-Based Transforms for Image Processing and Shape Interrogation
title_sort Compensated Convex-Based Transforms for Image Processing and Shape Interrogation
author_id_str_mv 5d95f710ec92af20339501c8a34175b6
author_id_fullname_str_mv 5d95f710ec92af20339501c8a34175b6_***_Elaine Crooks
author Elaine Crooks
author2 Antonio Orlando
Elaine Crooks
Kewei Zhang
format Book chapter
container_title Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging
container_start_page 1827
publishDate 2023
institution Swansea University
isbn 9783030986605
9783030986612
doi_str_mv 10.1007/978-3-030-98661-2_106
publisher Springer International Publishing
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
url http://dx.doi.org/10.1007/978-3-030-98661-2_106
document_store_str 0
active_str 0
description 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.
published_date 2023-02-25T15:32:57Z
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score 11.017797

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