$$ \def\NN{{\mathbb N}} $$
$$ \def\RR{{\mathbb R}} $$
$$ \def\CC{{\mathbb C}} $$
$$ \def\ZZ{{\mathbb Z}} $$
$$ \DeclareMathOperator*{\dom}{dom} $$
$$ \DeclareMathOperator*{\TV}{TV} $$
$$ \def\STV{\mathrm{STV}} $$
$$ \DeclareMathOperator*{\argmin}{argmin} $$
$$ \DeclareMathOperator*{\TVani}{{TV}^\text{ani}} $$
$$ \DeclareMathOperator*{\HTValpha}{{HTV}_\alpha} $$
$$ \DeclareMathOperator*{\divergence}{div} $$
$$ \newcommand\RRRR[1]{\RR^{#1} \times \RR^{#1}} $$

Homepage of Rémy Abergel

Publications

Google Scholar link.

  • Linear Super-Resolution Through Translational Motion, Rémy Abergel, Andrés Almansa, Lionel Moisan and Camille Noûs, 2024. Download preprint pdfsmall.gif (hal-04612465). Software available on Github.
  • Hyperspectral signal reconstruction from interferometric measurements with enriched Fourier bases, Yassine Mhiri, Rémy Abergel, Andrés Almansa and Lionel Moisan, 2024. Accepted for presentation to EUSIPCO 2024. Download preprint pdfsmall.gif (hal-04506638).
  • A Review on the Adaptive-Ridge Algorithm with several extensions, Rémy Abergel, Olivier Bouaziz and Grégory Nuel, 2023. To appear in Statistics and Computing. Download revised preprint (accepted version) pdfsmall.gif (hal-04051929).
  • Ultrafast multiple paramagnetic species EPR imaging using a total variation based model, Mehdi Boussâa, Rémy Abergel, Sylvain Durand and Yves-Michel Frapart, Journal of Magnetic Resonance, 2023. DOI: 10.1016/j.jmr.2023.107583. Download revised preprint (accepted version) pdfsmall.gif (hal-04588105).
  • Self-supervised learning of deep despeckling networks with MERLIN: ensuring the statistical independence of the real and imaginary parts, Emanuele Dalsasso, Frédéric Brigui, Loïc Denis, Rémy Abergel and Florence Tupin, 2023. Accepted for oral presentation to the 15th European Conference on Synthetic Aperture RADAR (EUSAR 2024), Download preprint pdfsmall.gif (hal-04245667).
  • Electron Paramagnetic Resonance Image Reconstruction with Total Variation Regularization, Rémy Abergel, Mehdi Boussâa, Sylvain Durand and Yves-Michel Frapart, Image Processing On Line, 2023. DOI : 10.5201/ipol.2023.414. Download published version pdfsmall.gif, software in Matlab/Octave logozip.gif. Online Demo available here.
  • Multi-temporal speckle reduction with self-supervised deep neural networks, Inès Meraoumia, Emanuele Dalsasso, Loïc Denis, Rémy Abergel and Florence Tupin. IEEE Transactions on Geoscience and Remote Sensing, 2023. DOI: 10.1109/TGRS.2023.3237466, Download preprint pdfsmall.gif (hal-03907022).
  • Fast and accurate evaluation of a generalized incomplete gamma function, Rémy Abergel and Lionel Moisan, ACM Transactions on Mathematical Software (TOMS), 2020. DOI: 10.1145/3365983. Download published version pdfsmall.gif, revised preprint pdfsmall.gif, software in C (+ Matlab MEX interface) available on PLMLab.
  • LSDSAR, a Markovian a contrario framework for line segment detection in SAR images, Chenguang Liu, Rémy Abergel, Yann Gousseau and Florence Tupin. Pattern Recognition, 2019. DOI: 10.1016/j.patcog.2019.107034.
  • Resolution-Preserving Speckle Reduction of SAR Images: the Benefits of Speckle Decorrelation and Targets Extraction, Rémy Abergel, Loïc Denis, Florence Tupin, Saïd Ladjal, Charles-Alban Deledalle and Andrés Almansa, proceedings of the IEEE International Geoscience and Remote Sensing Symposium (IGARSS), 2019. Download published version ieeeexplore.gif, revised preprint pdfsmall.gif, DOI: 10.1109/IGARSS.2019.8900036.
  • Sub-pixellic Methods for Sidelobes Suppression and Strong Targets Extraction in Single Look Complex SAR Images, Rémy Abergel, Loïc Denis, Saïd Ladjal and Florence Tupin, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing (JSTARS), March 2018. Download published version ieeeexplore.gif, revised preprint pdfsmall.gif, DOI: 10.1109/JSTARS.2018.2790987, software (in C language, including independent MATLAB Mex interface) logozip.gif.
  • The Shannon Total Variation, Rémy Abergel and Lionel Moisan, Journal of Mathematical Imaging and Vision, 2017. Download published version springerlink.gif (also available here), revised preprint pdfsmall.gif, DOI: 10.1007/s10851-017-0733-5, software in C logozip.gif logo_tgz.gif, in Matlab (version >= 2013) logozip.gif logo_tgz.gif.
  • A Complex Spectrum Based SAR Image Resampling Method with Restricted Target Sidelobes and Statistics Preservation, Rémy Abergel, Saïd Ladjal, Florence Tupin and Jean-Marie Nicolas, proceedings of the IEEE International Geoscience and Remote Sensing Symposium (IGARSS), 2017. Download published version ieeeexplore.gif, preprint pdfsmall.gif, DOI: 10.1109/IGARSS.2017.8128214
  • Total Variation Restoration of Images Corrupted by Poisson Noise with Iterated Conditional Expectations, Rémy Abergel, Cécile Louchet, Lionel Moisan, Tieyong Zeng, proceedings of Scale Space and Variational Methods in Computer Vision, 2015. Download published version springerlink.gif (DOI: 10.1007/978-3-319-18461-6_15), revised preprint pdfsmall.gif, software (in C language) logozip.gif logo_tgz.gif.
  • Accelerated A-contrario Detection of Smooth Trajectories, Rémy Abergel, Lionel Moisan, proceedings of the European Signal Processing Conference (EUSIPCO), 2014. Download published version ieeeexplore.gif, eusipco.gif, revised preprint pdfsmall.gif. Visit the website to download a C implementation.

PhD Thesis

Patents

  • Rémy Abergel, Andrés Almansa, Gwendoline Blanchet, Christophe Latry, Lionel Moisan. Procédé de construction d'un signal ou d'une image fusionné(e) haute résolution à partir d'une pluralité de signaux ou d'une pluralité d'images basse résolution. France, N° de brevet (INPI): 3111462. 2020. hal-03787312.

Talks & Posters

  • December 5, 2023: ``Variational methods for Electron Paramagnetic Resonance Imaging'', Imaging in Paris Seminar, Institut Henri Poincarré, Paris.
  • July 19, 2022: ``Variational methods for Electron Paramagnetic Resonance Imaging'', Hokkaido University, Electron Paramagnetic Resonance Spectroscopy and Imaging Research Laboratory of Pr. H. Hirata.
  • July 31, 2019: ``Resolution-Preserving Speckle Reduction of SAR Images: the Benefits of Speckle Decorrelation and Targets Extraction'', 2019 IEEE International Geoscience and Remote Sensing Symposium (IGARSS), Yokohama, Japan.
  • July 11, 2019: ``Total Variation Restoration of Images Corrupted by Poisson Noise with Iterated Conditional Expectations'', Applied Inverse Problems Conference (minisymposium n. 44), Grenoble, France.
  • February 6, 2019: ``The Shannon Total Variation'', Variational methods and optimization in imaging, Institut Henri Poincarré, Paris, France: video link.
  • February 2, 2018: ``Quelques modèles mathématiques et problèmes de calcul scientifique appliqués au traitement d’images numériques'', Colloquium du laboratoire MAP5, Paris, France.
  • July 28, 2017: ``A Complex Spectrum Based SAR Image Resampling Method with Restricted Target Sidelobes and Statistics Preservation'', IEEE International Geoscience and Remote Sensing Symposium 2017, Fort Worth, USA.
  • June 22, 2016: ``The Shannon Total Variation'', Mathématiques de l'Imagerie Stéréoscopique Spatiale (MISS), CESBIO, CNES Toulouse, France.
  • June 2, 2016: ``The Shannon Total Variation'', Séminaire de Mathématiques Appliquées au Traitement d'Images (SMATI), LTCI, Télecom ParisTech, Paris, France.
  • May 26, 2016: ``Image Restoration with Shannon Total Variation'', SIAM Conference on Imaging Science, New Models for Image Restoration and Enhancement (minisymposium n. 86), Albuquerque, New-Mexico, USA.
  • April 21, 2016 : ``Dual methods for the minimization of the total variation'', Different Learning Seminar, LTCI, Télecom ParisTech, Paris, France (slides).
  • June 2, 2015 : ``Total Variation Restoration of Images Corrupted by Poisson Noise with Iterated Conditional Expectations'', SSVM, Cap-Férret, France (poster).
  • September 5, 2014 : ``Accelerated A-contrario Detection of Smooth Trajectories'', EUSIPCO, Lisbon, Portugal (poster).