Bastien Laville | Morpheme

About Me

I am a Ph.D. in applied mathematics for biomedical imaging, under the supervision of Laure Blanc-Féraud and Gilles Aubert in the Morpheme team. Here is a short CV.

PhD Thesis

I worked on the thesis 'Off-the-grid curve reconstruction: theory and applications to fluorescence microscopy'. We aim to recover Radon measures (Dirac spikes, curves), elements of the Banach $\mathcal{M}(\mathcal{X})$ or $\mathscr{V}$, from a stack of low-frequency measurements; which have practical applications for biomedical imaging e.g. fluorescence microscopy or ultrasound imaging.

[Manuscript] [Slides]

Research Interests

Inverse problem: off-the-grid, dynamic, calculus of variation, applied harmonic analysis.
Computer Vision: video/image processing, image segmentation, high performance computing.
Biomedical imaging: fluorescence microscopy, contrast-enhanced ultrasound.
Optimal transport: gradient flow, geodesic metrics.

In the following, see the reconstruction performed by an off-the-grid based method (middle) on an experimental SMLM acquistion stack, versus the mean of the stack (left) and the result by the other state-of-the-art method namely SRRF.

An illustration of the off-the-grid method

Publications

Preprints

Dynamic off-the-grid reconstruction of curves in the space of position-orientation: theory and algorithms for paths untangling.
With Mr. Théo Bertrand, Mr. João Miguel Machado.
Preprint. To appear, 2024.
[PDF] [Code]

A $\Gamma$-convergence result and an off-the-grid charge algorithm for curve reconstruction in inverse problems.
Bastien Laville, Laure Blanc-Féraud and Gilles Aubert.
Journal of Mathematical Imaging and Vision (JMIV). 2024.
[PDF]

Journals

Off-the-grid curve reconstruction through divergence regularisation: an extreme point result.
Bastien Laville, Laure Blanc-Féraud and Gilles Aubert.
SIAM Journal on Imaging Sciences (SIIMS), Volume 16, Issue 2, pp. 867-885. June 2023.
[PDF] [DOI] [Ref]

Off-the-grid variational sparse spike recovery: methods and algorithms.
Bastien Laville, Laure Blanc-Féraud and Gilles Aubert.
Journal of Imaging, Volume 7, Issue 12. December 2021. Review.
[PDF] [DOI] [Code] [TeX]

Chapters and Proceedings

Off-the-grid charge algorithm for curve reconstruction in inverse problems.
Bastien Laville, Laure Blanc-Féraud and Gilles Aubert.
Springer LNCS 14009, 9th International Conference on Scale Space and Variational Methods in Computer Vision. May 2023.
[PDF] [DOI] [Slides] [Code]

Off-the-grid covariance-based super-resolution microscopy.
Bastien Laville, Laure Blanc-Féraud and Gilles Aubert.
International Conference on Acoustics, Speech, & Signal Processing (IEEE ICASSP). May 2022.
[PDF] [DOI] [Slides] [TeX slides] [Code]

National Conferences

Reconstruction de courbes en super-résolution sans-grille.
Bastien Laville, Laure Blanc-Féraud and Gilles Aubert.
GRETSI 2023. September 2023.
[PDF] [Slides] [TeX]

Super-résolution sans-grille pour l'imagerie de fluctuation.
Bastien Laville, Laure Blanc-Féraud and Gilles Aubert.
GRETSI 2022. September 2022.
[PDF] [Slides] [Code] [TeX]

OPS: Off-the-grid Package made Simple 🎻

As part of the PhD thesis, we developped an accessible and ready-to-play implementation of the state-of-the-art methods in the off-the-grid field. The package is designed towards end users, with a focus on efficiency through a Pytorch backend coupled with CUDA parallelisation. Take a glance at our python module, contact me to take part in this project!

Invited talks

Gridless curve reconstruction: divergence regularisation and untangling by (sub)Riemannian metric. November 2023, invited speaker at the Institut Henri Poincaré, Paris V, France. Workshop closing the ANR CIPRESSI. [Abstract] [Slides]
An extreme point result for off-the-grid curve reconstruction. September 2022, invited speaker at the 11th Applied Inverse Problems Conference in Göttingen, Germany. [Slides]
Off‑the‑grid curve reconstruction: bridge the gap between 0 and 2‑rectifiable measures. March 2023, MIA, Bordeaux, France. [Slides] [TeX]
Prix Pierre Laffitte : super-résolution sans-grille et retombées pour l'industrie. October 2022, Mines Paris-PSL, finalist in contention for the Pierre Laffitte award (Biot, France). [Slides] [TeX]
New off-the-grid approaches. June 2022, invited speaker at the total variation symposium of applieds mathematics conference CANUM (Évian-les-Bains, France). [Slides] [Description]
Off-the-grid static and dynamic super-resolution. December 2021, ANR MicroBlind meeting, Centre International de Rencontres Mathématiques (Marseille, France). [Slides] [TeX]

Services

Automatic - 273 hours.
Admission panel (DUT/M1) - 9 hours.
Mathematics introductory course - 31 hours.
Signal processing - 25 hours.

2023 (C) - Inria