My work lies in the field of inverse problems and mathematical imaging, particularly applied to image reconstruction and restoration of X-ray-based 3D/4D imaging techniques. At my current position I am doing generalized data processing for several imaging techniques, both in the design of reconstruction methods, arifact/misaligment corrections and in algorithmic implementations.
Research interest
- Inverse problems in mathematical imaging, variational and numerical approaches
- Absorption / Phase / Compton tomography
- Integral geometry, Radon transforms, backprojections
- HPC implementations for imaging problems : analytical and iterative algorithms
Publications
- P. Guerrero, S. Bellens, R. Santander, W. Dewulf. Automatic alignment in cone-beam tomography via fan-beam symmetry and variable projection. (preprint), 2023.
- P. Guerrero, M. Bernardi, E. Miqueles. Alternative Fan-beam Backprojection and Adjoint Operators. Accepted, to appear in Journal of Inverse and Ill-Posed Problems, 2023.
- R. Kang, P. Guerrero, G. Probst, P. Slaets, W. Dewulf. Reference free method for robot CT imaging geometry estimation . Precision Engineering, 2022.
- E. Miqueles, P. Guerrero. Automatic regularization for tomographic image reconstruction. Results in Applied Mathematics, 2020.
- E. Miqueles, Gilberto Martinez Jr, P. Guerrero. Fast image reconstruction at a synchrotron laboratory. Proceedings of the 2020 SIAM Conference on Parallel Processing for Scientific Computing, 2020.
- P. Guerrero, M. K. Nguyen, L. Dumas, S. X. Cohen. Modelling of a New Compton Imaging Modality for an In-depth Characterisation of Flat Heritage Objects . Proceedings of The 9th EUROSIM Congress on Modelling and Simulation, 2018.
- P. Guerrero, M. K. Nguyen, L. Dumas, S. X. Cohen. Three dimensional imaging of flat natural and cultural heritage objects by a Compton scattering modality. Journal of Electronic Imaging, 26(1), 2017.
- K. Rannou, E. Crouzet, C. Ronin, P. Guerrero, G. Thuret, P. Gain, J.C. Pinoli, Y. Gavet. Comparison of corneal endothelial mosaic according to the age : the corimmo 3D project. IRBM, 37 (2), 2016.
Communications
- November 2023.
Invited talk : Alignment and regularized reconstructions in tomography as optimization problems
IX Conference of Ecuadorian mathematicians in Paris, Institut Henri Poincaré, Paris, France
SLIDES - June 2023.
Oral presentation : Fast Misalignment Correction in Cone-Beam Tomography via Variable Projection
SIAM Conference on Optimization 2023, Seattle, USA - September 2021.
Oral presentation : A low-complexity fan-beam tomographic backprojection formula
IFIP TC7 Conference on System Modelling and Optimization, Quito, Ecuador - December 2020.
Invited seminar : Low-complexity tomographic backprojections for high-resolution imaging techniques
Computational Imaging CWI seminar, CWI, Amsterdam, Netherlands - February 2020.
Co-author : Fast image reconstruction at a synchrotron laboratory, by E. Miqueles
SIAM Conference on Parallel Processing for Scientific Computing 2020, Seattle, USA - November 2019.
Oral presentation : Strategies for image reconstruction at Sirius
29th RAU LNLS/CNPEM Annual Users Meeting, Campinas, Brazil - March 2019. Invited seminar : Three-dimensional imaging of flat samples from Compton Scattering
Synchrotron Soleil, Gif-sur-Yvette, France - April 2017. Oral presentation : X-ray tomography and the Radon transform
III Conference of Ecuadorian mathematicians in Paris, Institut Henri Poincaré, Paris, France - September 2016. Oral presentation : Modelling of a New
Compton Imaging Modality for an In-Depth Characterisation of Flat
Heritage Objects
The 9th EUROSIM International Congres on Modelling and Simulation, Oulu, Finland - June 2016. Co-author : Age de l'endothélium cornéen humain, by Klervi Rannou
Journées stéphanoises de cytométrie et d'imagerie 2016, Saint-Etienne, France - May 2016. Oral presentation : Backprojection of a conical Radon Transform in Compton scatter tomography
Congrès National d'Analyse Numérique 2016, Obernai, France - May 2016. Seminar : Une nouvelle modalité d'imagerie basée sur le rayonnement X diffusé
PhD seminar, LMV - UVSQ, Versailles, France - April 2016.
Poster : Reconstruction des objets à partir de la diffusion
inélastique
II Conference of Ecuadorian mathematicians in Paris, Institut Henri Poincaré, Paris, France - April 2016.
Seminar : Transformée de Radon conique. Inversion par rétroprojection fitrée.
Analysis - PDE seminar , LMV - UVSQ, Versailles, France - March 2016.
Poster : In-depth imaging of at objects through a backprojection reconstruction of a 2D conical
Radon Transform
Atelier scientfique Matériaux du patrimoine et patrimoine matériel, École Polytechnique, Paris - October 2014 .
Co-author : Spatial statistical analysis of the human corneal endothelial mosaic, by K. Rannou
European Association for Vision and Eye Research Annual Meeting 2014, Nice, France