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Cited article:
Didier Auroux, Lamia Jaafar Belaid, Mohamed Masmoudi
ESAIM: M2AN, 41 3 (2007) 607-625
Published online: 2007-08-02
This article has been cited by the following article(s):
An Overview of the Topological Gradient Approach in Image Processing: Advantages and Inconveniences
Lamia Jaafar Belaid
Journal of Applied Mathematics 2010 1 (2010)
DOI: 10.1155/2010/761783
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Application of the Topological Gradient Method to Color Image Restoration
Didier Auroux, Lamia Jaafar Belaid and Badreddine Rjaibi
SIAM Journal on Imaging Sciences 3 (2) 153 (2010)
DOI: 10.1137/080721017
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Scale Space and Variational Methods in Computer Vision
Guozhi Dong, Markus Grasmair, Sung Ha Kang and Otmar Scherzer
Lecture Notes in Computer Science, Scale Space and Variational Methods in Computer Vision 7893 404 (2013)
DOI: 10.1007/978-3-642-38267-3_34
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From restoration by topological gradient to medical image segmentation via an asymptotic expansion
Didier Auroux
Mathematical and Computer Modelling 49 (11-12) 2191 (2009)
DOI: 10.1016/j.mcm.2008.07.002
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Image Processing by Topological Asymptotic Expansion
Didier Auroux and Mohamed Masmoudi
Journal of Mathematical Imaging and Vision 33 (2) 122 (2009)
DOI: 10.1007/s10851-008-0121-2
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Minimal partitions and image classification using a gradient-free perimeter approximation
Samuel Amstutz, Antonio André Novotny and Nicolas Van Goethem
Inverse Problems and Imaging 8 (2) 361 (2014)
DOI: 10.3934/ipi.2014.8.361
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Topological Derivatives of Shape Functionals. Part II: First-Order Method and Applications
Antonio André Novotny, Jan Sokołowski and Antoni Żochowski
Journal of Optimization Theory and Applications 180 (3) 683 (2019)
DOI: 10.1007/s10957-018-1419-x
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Scattered Spaces, Compactifications and an Application to Image Classification Problem
Monerah Al-Hajri, Karim Belaid and Lamia Jaafar Belaid
Tatra Mountains Mathematical Publications 66 (1) 1 (2016)
DOI: 10.1515/tmmp-2016-0015
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Damage identification in plate structures based on the topological derivative method
A. A. M. da Silva and A. A. Novotny
Structural and Multidisciplinary Optimization 65 (1) (2022)
DOI: 10.1007/s00158-021-03145-1
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Automated Image Restoration and Segmentation Using Mumford–Shah-Like Regularization and Topological Asymptotic Expansion
Monika Muszkieta
Journal of Mathematical Imaging and Vision (2022)
DOI: 10.1007/s10851-022-01088-w
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