Professeur des Universités (CNU 25)
Tél : 33(0) 546 458 605
Mél : michel.berthier (at) univ-lr.fr
Adresse : Laboratoire MIA, Batiment Pascal, Pôle Sciences et Technologie, Université de La Rochelle, 23, Avenue A. Einstein, BP 33060, 17031 La Rochelle cedex
PhD Position 2024: Quantum Information-based Hyperbolic Neural Network PhD_Berthier_2024.pdf
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
-Split-quaternions for perceptual white balance, M. Berthier, N. Prencipe, and E. Provenzi.
To appear in IEEE Signal Processing Magazine.
-The classification of rebit quantum channels, M. Aldé, M. Berthier, and E. Provenzi.
J. Phys. A: Math. Theor. 56 (2023) 495301.
-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.
-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.
-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.
-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.
-Quantum measurement and color perception: theory and applications, M. Berthier and E. Provenzi,
Proceedings of the Royal Society A, Vol. 478, Issue 2258, 2022.
-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.
-The relativity of color perception, M. Berthier, V. Garcin, N. Prencipe and E. Provenzi,
Journal of Mathematical Psychology, 103 (2021) 102562.
-The quantum nature of color perception: Uncertainty relations for chromatic opposition, M. Berthier
and E. Provenzi,
J. Imaging, 7(2), 40, 2021.
-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.
-From Riemannian trichromacy to quantum color opponency via hyperbolicity, M. Berthier and E. Provenzi,
J. Math. Imaging Vis., 63, 681-688 (2021).
-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.
-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.
-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.
-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.