Michel BERTHIER

Université de La Rochelle

FRANCE

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


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

To appear in SIAM Journal on Imaging Sciences (SIIMS).

  1. -Multiple Relaxation Time Lattice Boltzmann schemes for advection-diffusion equations with application to radar image processing, J. Michelet, M. Tekitek, and M. Berthier.

To appear in Journal of Computational Physics.

  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,

J. 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,

J. Math. Imaging Vis., 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.