Preprints

1. M. Lazzaretti, C. Estatico, A. Carrillo, L. Calatroni, Off-the-grid regularisation for Poisson inverse problems, (2024). arXiv preprint

2. S. Bonettini, L. Calatroni, D. Pezzi, M. Prato, Algorithmic unfolding for image reconstruction and localization problems in fluorescence microscopy, (2024). arXiv preprint

3. C. Santambrogio, M. Pragliola, A. Lanza, M. Donatelli, L. Calatroni, Whiteness-based bilevel learning  of regularization parameters in imaging, (2024). arXiv preprint

4. M. Essafri, L. Calatroni, E. Soubies, Exact continuous relaxations of $\ell_0$-regularized criteria with non-quadratic data terms, (2024). arXiv preprint

5. J.-F. Aujol, L. Calatroni, C. Dossal, H. Labarrière, A. Rondepierre, Parameter-free FISTA by adaptive restart and backtracking, (2023). arXiv preprint - Code

6. R. Rekik Dit Nekhili, L. Calatroni, X. Descombes, A hybrid approach combining CNNs and variational modelling for blind image denoising, (2022). HAL preprint

Books & edited volumes

1. Proceedings of the IX edition of the Scale Space and Variational Methods in Computer Vision conference, S. Margherita di Pula, Italy, Lecture Notes in Computer Science, Springer. Editors: L. Calatroni, M. Donatelli, S. Morigi, M. Prato, M. Santacesaria,  (2023).

2. Optimisation and learning methods for inverse problems in microscopy imaging,  special issue of Inverse Problems IOP. Editors: L. Calatroni, S. Rebegoldi, (2022).

3. Non-local data interactions: foundations and applications, Cambridge Elements series. Editors: M. Burger, L. Calatroni (series editor), R. Chan, E. Rapinchuk, C.-B. Schönlieb, D. Tenbrinck, (2022).

4. Color representation and cortical-inspired image processing, thematic collection of the Journal of Mathematical Neuroscience. Editors: L. Calatroni, V. Franceschi, B. Franceschiello, D. Prandi, (2020).

Journal papers

1. F. Merizzi, P. Saillard, O. Acquier, E. Morotti, E. Loli Piccolomini, L. Calatroni, R. M. Dessì, Deep image prior inpainting of ancient frescoes in the Mediterranean Alpine arc, Heritage Science 12 (41),  (2024). arXiv preprint - Published version - Code

2. E. Bretin, L. Calatroni, S. Masnou, A mobility-SAV approach for a Cahn-Hilliard equation with degenerate mobilities, Discrete and Continuous Dynamical Systems, Series 17 (1), (2024). arXiv preprint - Published version -  Code

3. I. Rentzeperis, L. Calatroni, L. Perrinet, D. Prandi, Beyond l_1 sparse coding in V1, (2023), PLOS Computational Biology, 19 (9), (2023). arXiv preprint-Published version - Code

4. T. A. Bubba, L. Calatroni, A. Catozzi, S. Crisci, T. Pock, M. Pragliola, S. Rautio, D. Riccio, A. Sebastiani, Bilevel learning of regularization models and their discretization for image deblurring and super-resolution, to appear in IndaM Springer series (2023). arXiv preprint 

5. M. Pragliola, L. Calatroni, A. Lanza, F. Sgallari, On and beyond Total Variation in imaging: the role of space variance, SIAM Review, 65 (3), (2023). arXiv preprint - Published version

6. M. Cachia, V. Stergiopoulou, L. Calatroni, S. Schaub, L. Blanc-Féraud, Fluorescence image deconvolution microscopy via generative adversarial learning (FluoGAN), Inverse Problems 39, (2023). HAL preprint - Published version - Code 

7. L. Calatroni, S. Morigi, S. Parisotto, G. A. Recupero, Fast and stable schemes for non-linear osmosis filtering,  Computer and Mathematics with Applications, 133, (2023). arXiv preprint - Published version - Code

8. A. Achim, L. Calatroni, S. Morigi, G. Scrivanti, Space-variant image reconstruction via Cauchy regularisation: application to Optical Coherence Tomography,  Signal Processing, 205, (2023). HAL preprint - Published version

9. M. Lazzaretti, L. Calatroni, C. Estatico, Modular-proximal gradient algorithms in variable exponent Lebesgue spaces, SIAM Journal on Scientific Computing, 44 (6), (2022). arXiv preprint - Published version

10. M. Pragliola, L. Calatroni, A. Lanza, F. Sgallari, ADMM-based residual whiteness principle for automatic parameter selection in super-resolution problems,  invited paper, Journal of Mathematical Imaging and Vision, (2022).  arXiv preprint - Published version

11. S. Rebegoldi, L. Calatroni, Scaled, inexact and adaptive generalized FISTA for strongly convex optimization, SIAM Journal on  Optimization, 32 (3), (2022). arXiv preprint - Published version 

12. L. Calatroni, M. Huska, S. Morigi, G. Recupero, A unified surface geometric framework for feature-aware denoising, hole filling and context-aware completion, invited paper, Journal of Mathematical Imaging and Vision, 65 (2022). HAL preprint - Published version

13. D. Mylonopoulos, P. Cascarano, L. Calatroni, E. Loli Piccolomini, Constrained and unconstrained inverse Potts modelling for joint image super-resolution and segmentation, IPOL (2022). Published version (paper, code, demo)

14. V. Stergiopoulou, L. Calatroni, H. Goulart, S. Schaub, L. Blanc-Féraud, COL0RME: Super-resolution microscopy based on sparse blinking fluorophore localization and intensity estimation, Biological Imaging, (2022). arXiv preprint - Published version - Code

15. P. Cascarano, L. Calatroni, E. Loli Piccolomini, Efficient $\ell_0$ gradient-based Super Resolution for simplified image segmentation, IEEE Transaction on Computational Imaging, 7, (2021). arXiv preprint - Published version

16. L. Calatroni, G. Garrigos, L. Rosasco, S. Villa, Accelerated iterative regularization via dual diagonal descent, SIAM Journal on Optimization, 31 (1), (2021). arXiv preprint - Published version

17. E. Baspinar, L. Calatroni. V. Franceschi, D. Prandi, A cortical-inspired sub-Riemannian model for Poggendorff-type visual illusions, Journal of Imaging, 7 (3), (2021). arXiv preprint - Published version

18. M. Bertalmío, L. Calatroni, V. Franceschi, B. Franceschiello, D. Prandi,  Cortical-inspired Wilson-Cowan-type equations for orientation-dependent contrast perception modelling, invited paper, Journal of Mathematical Imaging and Vision,  63, (2020). arXiv preprint - Published version

19. S. Parisotto, L. Calatroni, A. Bugeau, N. Papadakis, C.-B. Schönlieb, Variational Osmosis for Non-linear Image Fusion,  IEEE Transactions on Image Processing 29, (2020). arXiv preprint - Published version -  Code

20. M. Bertalmío, L. Calatroni, V. Franceschi, B. Franceschiello, A. Gomez-Villa, D. Prandi, Visual illusions via neural dynamics: Wilson-Cowan-type models and the efficient representation principle, Journal of Neurophysiology, 123 (5), (2020). arXiv preprint - Published version - Code

21. L. Calatroni, K. Papafitsoros, Analysis and optimisation of a variational model for mixed Gaussian and Salt & Pepper noise removal,  Inverse Problems, 35 (11), (2019). arXiv preprint - Published version 

22. L. Calatroni, A. Chambolle, Backtracking strategies for accelerated descent methods with smooth composite objectives, SIAM Journal on Optimization,  29 (3), (2019). arXiv preprint - Published version

23. L. Calatroni, A. Lanza, M. Pragliola, F. Sgallari, A  flexible space-variant anisotropic regularisation for image restoration with automated parameter selection,  SIAM Journal of Imaging Sciences,  12 (2), (2019).  arXiv preprint - Published version.

24. S. Parisotto, L. Calatroni, M. Caliari, C.-B. Schönlieb, J. Weickert, Anisotropic osmosis filtering for shadow removal in images, Inverse Problems,  35 (5), (2019).  arXiv preprint  - Published version -  Code

25. L. Calatroni, M. D'Autume, R. Hocking, S. Panayotova, S. Parisotto, P. Ricciardi, C.-B. Schönlieb, Unveiling the invisible - mathematical methods for restoring and interpreting illuminated manuscripts, Heritage Science, 6:56 (2018). arXiv preprint - Published version - Code - SpringerOpen blog

26. L. Calatroni, J. C. De Los Reyes, C.-B. Schönlieb, Infimal convolution of data discrepancies for mixed noise removal, SIAM Journal of Imaging Sciences, 10 (3), (2017).  arXiv preprint - Published version 

27. L. Calatroni, Y. van Gennip, H. Rowland, C.-B. Schönlieb, A. Flenner,  Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images,  Journal of Mathematical Imaging and Vision, 57 (2), (2017).  arXiv preprint - Published version

28. L. Calatroni, C. Cao, J. C. De Los Reyes, C.-B. Schönlieb, T. Valkonen, Bilevel approaches for learning of variational imaging models, RADON book series, vol. 18 on Variational Methods, (2016).  arXiv preprint - Published version

29. L. Calatroni, B. Düring, C. -B. Schönlieb, ADI splitting schemes for a fourth-order nonlinear partial differential equation from image processing, Discrete  & Continuous Dynamical Systems Series A, 34 (3), (2014).  arXiv preprint - Published version

30. L. Calatroni, P. Colli, Global solution to the Allen-Cahn equation with singular potentials and dynamic boundary conditions, Nonlinear Analysis, 79, (2013).  arXiv preprint - Published version

Peer-reviewed conference proceedings

1. H. Mentagui, L. Calatroni, S. Schaub, L. Blanc-Féraud, Physics-inspired generative adversarial modelling for fluctuation-based super-resolution microscopy, to appear in ISBI 2024 conference proceedings (2023).  HAL preprint

2. V. Stergiopoulou, S. Mukherjee, L. Calatroni, L. Blanc-Féraud, Fluctuation-based deconvolution in fluorescence microscopy using plug-and-play denoisers, Scale Space and Variational Methods in Computer vision LNCS conference proceedings, Springer (2023). arXiv preprint - Published Version

3. M. Lazzaretti, Z. Kereta, L. Calatroni, C. Estatico, Stochastic gradient descent for linear inverse problems in variable exponent Lebesgue spaces,  Scale Space and Variational Methods in Computer vision LNCS conference proceedings, Springer (2023). arXiv preprint - Published version

4. V. Stergiopoulou, L. Calatroni, S. Schaub and L. Blanc-Féraud, 3D Image Super-Resolution by fluorophore fluctuations and MA-TIRF Microscopy reconstruction (3D-COL0RME), 2022 IEEE 19th International Symposium on Biomedical Imaging (ISBI) (2022), Best paper runner-up award.  arXiv preprint - Published version 

5. M. Lazzaretti, L. Calatroni, C. Estatico, A continuous, non-convex and sparse super-resolution approach for fluorescence microscopy data with Poisson noise, IEEE Xplore conference proceedings of ICCSA conference 2021, (2022). Published version

6. L. Calatroni, S. Rebegoldi, A scaled, inexact and adaptive Fast Iterative Soft-Thresholding Algorithm for convex image restoration, IEEE Xplore conference proceedings of ICCSA conference 2021, (2022). arXiv preprint - Published version

7. M. Lazzaretti, S. Rebegoldi, L. Calatroni, C. Estatico, A scaled and adaptive FISTA algorithm for signal-dependent sparse image super-resolution problems, Scale Space and Variational Methods in Computer Vision  LNCS conference proceedings 2021, Springer (2021). Published version

8. M. Pragliola, L. Calatroni, A. Lanza, F. Sgallari,  Residual whiteness principle for automatic parameter selection in $\ell_2$-$\ell_2$ image super-resolution problems, Scale Space and Variational Methods in Computer Vision  LNCS conference proceedings 2021, Springer (2021). arXiv preprint - Published version

9. M. Lazzaretti, L. Calatroni, C. Estatico, Weighted-CEL0 sparse regularisation for molecule localisation in super-resolution microscopy with Poisson data, 2021 IEEE 18th International Symposium on Biomedical Imaging (ISBI) (2021). arXiv preprint - Published version

10. V. Stergiopoulou, H. Goulart, S. Schaub, L. Calatroni and L. Blanc-Féraud, COL0RME: COvariance-based $ell_0$ super-Resolution Microscopy with intensity Estimation, 2021 IEEE 18th International Symposium on Biomedical Imaging (ISBI) (2021). arXiv preprint - Published version

11. G. Scrivanti, L. Calatroni, S. Morigi, L. Nicholson, A. Achim, Non-convex Super-resolution of OCT images via sparse representation, 2021 IEEE 18th International Symposium on Biomedical Imaging (ISBI) (2021). arXiv preprint - Published version

12. L. Calatroni, A. Lanza, M. Pragliola, F. Sgallari, Adaptive parameter selection for weighted-TV image reconstruction problems, NCMIP 2019, Journal of Physics: Conference Series  1476, IOP Publishing, (2020). arXiv preprint - Published version

13. L. Calatroni, A. Lanza, M. Pragliola, F. Sgallari, Space-adaptive anisotropic bivariate Laplacian regularization for image restoration, VipIMAGE 2019, Lecture Notes in Computational Vision and Biomechanics, Springer,  67-79, (2019). arXiv preprint -  Published version

14. M. Bertalmío, L. Calatroni, V. Franceschi, B. Franceschiello, D. Prandi, A cortical-inspired model for orientation-dependent contrast perception: a link with Wilson-Cowan equations,  Scale Space and Variational Methods in Computer Vision  LNCS conference proceedings 2019, Springer (2019). arXiv preprint - Published version

15. L. Calatroni, S. Parisotto, C. Daffara, Digital Cultural Heritage Imaging via osmosis filtering, in "Image and Signal Processing", ICISP 2018: LNCS 10884, 407-415. Berlin, Springer Cham, (2018). ​ Best paper award arXiv preprint - Published version

16. L. Calatroni, C. Estatico, N. Garibaldi, S. Parisotto,  Alternating Direction Implicit schemes for a PDE-based image osmosis model, NCMIP 2017, Journal of Physics: Conference Series 904, IOP Publishing, (2017).  arXiv preprint - Published version

17.  L. Calatroni, J. C. De Los Reyes, C. -B. Schönlieb, Dynamic sampling schemes for optimal noise learning under multiple nonsmooth constraints, in "System Modelling and Optimization",  IFIP Advances in Information and Communication Technology 443. Springer Berlin Heidelberg, (2014). arXiv preprint - Published version

18. M. Benning, L. Calatroni, B. Düring, C.-B. Schönlieb,  A primal-dual approach for a total variation Wasserstein flow, in F. Nielson & F. Barbaresco (eds.) GSI 2013: LNCS 8085, 413-421. Berlin, Springer Verlag, (2013).  arXiv preprint - Published version