Laboratoire MIA

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. -Rebit channel classification and its applications to colour perception, M. Aldé, M. Berthier, and E. Provenzi.
   

Preprint.

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

To appear in DCDS Series S.

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,

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.