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Cited article:

Automated Image Restoration and Segmentation Using Mumford–Shah-Like Regularization and Topological Asymptotic Expansion

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Journal of Mathematical Imaging and Vision 64 (6) 646 (2022)
https://doi.org/10.1007/s10851-022-01088-w

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)
https://doi.org/10.1007/s00158-021-03145-1

Topological Derivatives of Shape Functionals. Part II: First-Order Method and Applications

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Journal of Optimization Theory and Applications 180 (3) 683 (2019)
https://doi.org/10.1007/s10957-018-1419-x

Scattered Spaces, Compactifications and an Application to Image Classification Problem

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Tatra Mountains Mathematical Publications 66 (1) 1 (2016)
https://doi.org/10.1515/tmmp-2016-0015

Minimal partitions and image classification using a gradient-free perimeter approximation

Samuel Amstutz, Antonio André Novotny and Nicolas Van Goethem
Inverse Problems & Imaging 8 (2) 361 (2014)
https://doi.org/10.3934/ipi.2014.8.361

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)
https://doi.org/10.1007/978-3-642-38267-3_34

An Overview of the Topological Gradient Approach in Image Processing: Advantages and Inconveniences

Lamia Jaafar Belaid and Ke Chen
Journal of Applied Mathematics 2010 (1) (2010)
https://doi.org/10.1155/2010/761783

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)
https://doi.org/10.1137/080721017

From restoration by topological gradient to medical image segmentation via an asymptotic expansion

Didier Auroux
Mathematical and Computer Modelling 49 (11-12) 2191 (2009)
https://doi.org/10.1016/j.mcm.2008.07.002