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, Pôle Sciences et Technologie, Université de La Rochelle, Avenue

Michel Crépeau, 17042 La Rochelle Cedex 1

MOST RECENT PUBLICATIONS AND PREPRINTS

Color perception, Riemannian geometry, and Jordan algebras


2019

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

preprint submitted.


Phase field and lattice Boltzmann models for 3D high frequency ultrasound image segmentation


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,

preprint submitted.

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

accepted for publication in IEEE Transactions on Image Processing.


2017

  1. -Phase field segmentation of high frequency 3D ultrasound images using log-likelihood, K. L. Nguyen, B. Sciolla, P. Delachartre and M. Berthier,

in  XXVI Colloque Gretsi 2017.


Hyperspectral image segmentation


2016

  1. -Segmentation non supervisée d’images hyperspectrales par k-modes clustering de codes binaires, 

  M. Berthier, S. El Asmar et C. Frélicot,

preprint.

- Binary Codes k-Modes Clustering for HSI Segmentation, M. Berthier, S. El Asmar et C. Frélicot,

in 12th IEEE IVMSP Workshop 2016.


Differential and Riemannian geometry, Clifford algebras, and image processing


2014

  1. -Conformal Geometry for Viewpoint Change Representation, G. El Mir, C. Saint Jean and M. Berthier,

Advances in Applied Clifford Algebras, 24, 2014, 2, 293-312.

  1. -Spin Geometry and Image Processing, M. Berthier,

Advances in Applied Clifford Algebras, 24, 2014, 2, 443-463.


2013

  1. -A Riemannian Fourier Transform via Spin Representations, T. Batard and M. Berthier,

in “Geometric Science of Information”, F. Nielsen and F. Barbaresco (Eds.): GSI 2013, LNCS 8085, p. 131-139, Springer-Verlag Berlin Heidelberg 2013.

  1. -Spinor Fourier Transform for Image Processing, T. Batard and M. Berthier,

IEEE Journal of Selected Topics in Signal Processing, Special Issue on Differential Geometry in Signal Processing, Vol. 7, Issue 4, 605-613, Aug. 2013.

  1. -Clifford Fourier transform and spinor representation of images, T. Batard and M. Berthier,

in Quaternion and Clifford Fourier Transforms and Wavelets (E. Hitzer and S.J. Sangwine Eds.),   

Trends in Mathematics (TIM), Birkhauser, Basel, 2013, p. 177-195.


2012

  1. -Geodesic interactive segmentation in the color monogenic signal framework, G. Demarcq, H.

   Le Capitaine and M. Berthier,

in 19th IEEE Int. Conf. on Image Processing, 2012.

  1. -Quaternions, algèbres de Clifford et traitement d’images couleur (avec P. Carré),

in Imagerie numérique : avancées et perspectives pour la couleur (C. Fernandez-Maloigne, L.   Macaire,  F. Robert-Inacio, Eds.), IC2, Traité Signal et Image, Hermes, p. 125-167.

  1. -Color Representation and Processes with Clifford Algebra (with P. Carré),

in Advanced Color Image Processing and Analysis (C. Fernandez Maloigne, Ed.), Springer, 2012, p. 147-180.


2011

  1. -The color monogenic signal. Application to color edge detection and color optical flow, G.

   Demarcq, L. Mascarilla, M. Berthier and P. Courtellemont,

J. Math. Imaging Vis., 40, 2011, 269-284.

  1. -Spinor representation of images, T. Batard and M. Berthier,

in 9th International Conference on Clifford Algebras, 2011, Weimar.


2010

  1. -Clifford algebra bundles to multidimensional image segmentation, T. Batard and M. Berthier,

Advances in Applied Clifford Algebras, 20, 2010, 3-4, 489-516.

  1. -Clifford Fourier transform for color image processing, T. Batard, C. Saint Jean and M. Berthier,

in Geometric Algebra Computing for Engineering and Computer Science (E. Bayro Corrochano,  G.

Scheuermann, Eds), Springer Verlag, London, Feb 2010, p. 135-162.


2009

  1. -A metric approach to nD image edge detection with Clifford algebras, T. Batard, C. Saint Jean and M. Berthier,

J. Math. Imaging Vis., 33, 2009, 296-312.

  1. -Heat kernels of generalized Laplacians - Application to color image smoothing, T. Batard and M. Berthier,

in 16th IEEE Int. Conf. on Image Processing, 2009.

  1. -The Clifford-Hodge flow: an extension of the Beltrami flow, T. Batard and M. Berthier,

in 13th Int. Conf. on Computer Analysis of Images and Patterns, 2009, Lecture Notes in Computer

Science, Volume 5702, Springer Berlin Heidelberg, 2009, p. 394-401.