Laboratoire MIA

MOST RECENT PUBLICATIONS AND PREPRINTS

Applied differential and Riemannian geometry

Jordan algebras and quantum information

Color perception

Phase field and lattice Boltzmann models for image processing

1. -Foundations of gyro-gauge theories, M. Berthier, F. Manicastri, and E. Provenzi.
   

To appear in Int. J. of Geometric Methods in Modern Physics, 2025.

1. -Generalization of the conformal model of the Euclidean plane and the groupoid of image viewpoints, G. El Mir, K. Youssef, C. El Mir, and M. Berthier.
   

To appear in Applicable Algebra in Engineering, Communication and Computing, 2025.

1. -n-Lüders channels: a novel class of rebit channels, their properties and applications, M. Berthier and E. Provenzi.
   

Physica Scripta, Vol. 99, Num. 6, Focus on Quantum Information Science, 2024.

1. -On the philosophical standpoint of a recent mathematical color perception model, F. Pelucchi, M. Berthier, and E. Provenzi.
   

Foundations of Science, https://doi.org/10.1007/s10699-024-09951-2, 2024.

1. -Split-quaternions for perceptual white balance: A quantum information-based chromatic adaptation transform, M. Berthier, N. Prencipe, and E. Provenzi.
   

IEEE Signal Processing Magazine, Vol. 41, Issue 2, Hypercomplex Signal and Image Processing, 2024.

1. -The classification of rebit quantum channels, M. Aldé, M. Berthier, and E. Provenzi.
   

Journal of Physics A: Mathematical and Theoretical, 56 (2023) 495301.

1. -On the questionable use of CIE L* to infer geometric properties of achromatic perception, M. Berthier and E. Provenzi.
   

Color Research and Application, Vol 48, Issue 6, 655-661, 2023.

1. -Lattice Boltzmann convection-diffusion model with non-constant advection velocity, J. Michelet, M. Tekitek, and M. Berthier.
   

Discrete and Continuous Dynamical Systems - S, Early access, April 2023.

1. -A quantum information-based refoundation of color perception concepts, M. Berthier, N. Prencipe, and E. Provenzi.
   

SIAM Journal on Imaging Sciences (SIIMS), 15(4), 1944-1976, 2022.

1. -Multiple relaxation time lattice Boltzmann schemes for advection-diffusion equations with application to radar image processing, J. Michelet, M. Tekitek, and M. Berthier.
   

Journal of Computational Physics, Vol. 471, 111612, 2022.

1. -Quantum measurement and color perception: theory and applications, M. Berthier and E. Provenzi,
   

Proceedings of the Royal Society A, Vol. 478, Issue 2258, 2022.

1. -Hunt's colorimetric effect from a quantum measurement viewpoint, M. Berthier and E. Provenzi,
   

in “Geometric Science of Information”, F. Nielsen and F. Barbaresco (Eds.): GSI 2021, LNCS 12829, p. 172-180, Springer-Verlag Berlin Heidelberg 2021.

1. -The relativity of color perception, M. Berthier, V. Garcin, N. Prencipe and E. Provenzi,
   

Journal of Mathematical Psychology, 103 (2021) 102562.

1. -The quantum nature of color perception: Uncertainty relations for chromatic opposition, M. Berthier
   

  and E. Provenzi,

Journal of Imaging, 7(2), 40, 2021.

1. -Geometric segmentation of sea clutter in coherent radar images: Range Doppler Map versus Range
   

Time Intensity Map, J. Michelet, L. Mascarilla, H. Chandran, and M. Berthier,

IEEE Transactions on Aerospace and Electronic Systems, 57, 4, 2278-2287, 2021.

1. -From Riemannian trichromacy to quantum color opponency via hyperbolicity, M. Berthier and E. Provenzi,
   

Journal of Mathematical Imaging and Vision, 63, 681-688 (2021).

1. -Geometry of color perception. Part 2: perceived colors from real quantum states and Hering’s rebit, M. Berthier,
   

The Journal of Mathematical Neuroscience, 10, 14, 2020.

1. -When geometry meets psycho-physics and quantum mechanics: Modern perspectives on the space of perceived colors, M. Berthier and E. Provenzi,
   

in “Geometric Science of Information”, F. Nielsen and F. Barbaresco (Eds.): GSI 2019, LNCS 11712, p. 621-630, Springer-Verlag Berlin Heidelberg 2019.

1. -Multiple relaxation time lattice Boltzmann models for multi-grid phase-field segmentation of tumors in 3D ultrasound images, K. L. Nguyen, M. Tekitek, P. Delachartre and M. Berthier,
   

SIAM Journal on Imaging Sciences (SIIMS), 12(3), 1324-1346, 2019.

1. -Multi-grid phase-field skin tumor segmentation in 3D ultrasound images, K. L. Nguyen, P. Delachartre and M. Berthier,
   

IEEE Transactions on Image Processing, 28, 8, 3678-3687, 2019.