Inverse problem for biological imaging

The PRIMO team aims at developing new mathematical models and methods addressing the challenges raised by biological imaging. It is particularly interested:


– In the improvement of imaging techniques such as the SPIM microscope or MRI.

– In the automatized analysis and interpretation of images.

– In the mathematical modeling of biophysical phenomena



We expect that this work will improve imaging systems (SPIM, MRI…) in various ways (e.g. decrease acquisition times, increase resolutions and contrasts…). We also aim at helping biologists formulate and answer new biological questions by providing automatized image analysis algorithms and mathematical models describing biophysical phenomena such as tumor growth.


Team leader

Pierre Weiss

Partner Labs


Main points

Selected references
  • Compressed sensing with structured sparsity and structured acquisition. – C. Boyer, J. Bigot, P. Weiss, accepted for publication in Applied and Computational Harmonic Analysis (2017).
  • A projection method on measures sets. – N. Chauffert, P. Ciuciu, J. Kahn, P. Weiss, Constructive Approximation, 83-111 (2017).
  • Structure tensor based analysis of cells and nuclei organization in tissues. – W. Zhang, J. Fehrenbach, A. Desmaison, V. Lobjois, B. Ducommun, P. Weiss*, IEEE Transactions on Medical Imaging, vol. 35, Issue 1 (2016).
  • On the generation of sampling schemes for Magnetic Resonance Imaging. – C. Boyer, N. Chauffert, P. Ciuciu, J. Kahn, P. Weiss, SIAM Imaging Science, Vol. 9, N.4, 2039-2072 (2016).
  • Sparse Wavelet Representation of Spatially Varying Blurring Operators. – P. Escande, P. Weiss, SIAM Imaging Science, Vol. 8, N. 4, pp. 2976-3014, (2015).
Team members
  • Pierre Weiss (CR),
  • Frédéric de GOURNAY (MCF),
  • Jonas KAHN (CR),
  • Léo LEBRAT (PhD student),
  • Valentin DEBARNOT (PhD student),
  • The PRIMO team works in close collaboration with members from the IMT (Mathematics Institute of Toulouse).
  • It also has collaborations with the IP3D team, the CBI in Toulouse, the Neurospin project at CEA Saclay, TU Berlin, Paris 6 University and the John Hopkins University.

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keywords : Mathematics, Inverse problems, Computational imaging, Image analysis, Large scale optimization


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