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Geodesic interactive segmentation in the color monogenic signal framework

Guillaume Demarcq , Hoel Le Capitaine , Michel Berthier
IEEE Int. Conf. on Image Processing, Sep 2012, Orlando, United States. pp.1573 - 1576
Communication dans un congrès hal-00732832v1

Geometric segmentation of sea clutter in coherent radar images: Range-Doppler Map versus Range-Time Intensity Map

Jordan Michelet , Laurent Mascarilla , Henry Chandran , Michel Berthier
IEEE Transactions on Aerospace and Electronic Systems, 2021, 57 (4), pp.2278-2287. ⟨10.1109/TAES.2021.3059316⟩
Article dans une revue hal-03192227v1
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A Metric Approach to nD Images Edge Detection With Clifford Algebras

Thomas Batard , Christophe Saint-Jean , Michel Berthier
Journal of Mathematical Imaging and Vision, 2009, 33 (3), pp.296-312. ⟨10.1007/s10851-008-0115-0⟩
Article dans une revue hal-00267629v2
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On the questionable use of CIE L* to infer geometric properties of achromatic perception

Michel Berthier , Edoardo Provenzi
2023
Pré-publication, Document de travail hal-04189334v1
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Clifford algebras bundles to multidimensional image segmentation

Thomas Batard , Michel Berthier
2008
Pré-publication, Document de travail hal-00333016v1
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Blockwise similarity in [0,1] via triangular norms and Sugeno integrals -- Application to cluster validity.

Hoel Le Capitaine , Thomas Batard , Carl Frélicot , Michel Berthier
IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2007., Jul 2007, Londres, United Kingdom. pp.835-840
Communication dans un congrès hal-00267631v1

A new cluster validity index for fuzzy clustering based on combination of dual triples

Carl Frelicot , Michel Berthier , Laurent Mascarilla
15th IEEE International Conference on Fuzzy Systems, Jul 2006, Vancouver, Canada. pp.42-47
Communication dans un congrès hal-00293818v1
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The classification of rebit quantum channels

Michele Aldé , Michel Berthier , Edoardo Provenzi
Journal of physics A: Mathematical and Theoretical, 2023, 56, pp.1-17. ⟨10.1088/1751-8121/ad0a82⟩
Article dans une revue hal-04039881v2
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From Riemannian trichromacy to quantum color opponency via hyperbolicity

Michel Berthier , Edoardo Provenzi
2020
Pré-publication, Document de travail hal-02479897v1
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Spinor Fourier Transform for Image Processing

Thomas Batard , Michel Berthier
2013
Pré-publication, Document de travail hal-00807265v1
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Mesure de similarité par blocs via les normes triangulaires et l'intégrale de Sugeno - Application à la détection de contours

Hoel Le Capitaine , Thomas Batard , Carl Frelicot , Michel Berthier
Rencontres Francophone sur la Logique Floue et ses Applications, LFA, 2007, Nîmes, France. pp.49-56
Communication dans un congrès hal-00292614v1
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Quantum measurement and color perception: theory and applications

Michel Berthier , Edoardo Provenzi
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2022, 478 (2258), ⟨10.1098/rspa.2021.0508⟩
Article dans une revue hal-03268152v2
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The quantum nature of color perception: Uncertainty relations for chromatic opposition

Michel Berthier , Edoardo Provenzi
Journal of Imaging, 2021, ⟨10.3390/jimaging7020040⟩
Article dans une revue hal-03114335v2
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Geometry of color perception. Part 2: perceived colors from real quantum states and Hering's rebit

Michel Berthier
2019
Pré-publication, Document de travail hal-02342456v1
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Clifford Fourier Transform for Color Image Processing

Thomas Batard , Michel Berthier , Christophe Saint-Jean
Bayro-Corrochano, Eduardo; Scheuermann, Gerik. Geometric Algebra Computing, Springer Verlag, pp.135-162, 2010, Engineering and Computer Science
Chapitre d'ouvrage hal-00332912v3
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A k-order fuzzy OR operator for pattern classification with k-order ambiguity rejection

Laurent Mascarilla , Michel Berthier , Carl Frelicot
Fuzzy Sets and Systems, 2008, 159 (15), pp.2011-2029. ⟨10.1016/j.fss.2008.02.019⟩
Article dans une revue hal-00289367v1
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When geometry meets psycho-physics and quantum mechanics : Modern perspectives on the space of perceived colors

Michel Berthier , Edoardo Provenzi
4th conference on Geometric Science of Information, Aug 2019, Toulouse, France
Communication dans un congrès hal-02145070v2
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The relativity of color perception

Michel Berthier , Valérie Garcin , Nicoletta Prencipe , Edoardo Provenzi
2021
Pré-publication, Document de travail hal-02546380v4
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Split-quaternions for perceptual white balance

Michel Berthier , Nicoletta Prencipe , Edoardo Provenzi
IEEE Signal Processing Magazine, In press
Article dans une revue hal-04149289v2
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Multi-grid phase field skin tumor segmentation in 3D ultrasound images

Khac Lan Nguyen , Philippe Delachartre , Michel Berthier
IEEE Transactions on Image Processing, 2019, 28 (8), pp.3678 - 3687. ⟨10.1109/TIP.2019.2900587⟩
Article dans une revue hal-02047312v1
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Clifford Fourier Transform and Spinor Representation of Images

Thomas Batard , Michel Berthier
2012
Pré-publication, Document de travail hal-00695850v1
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Conformal Geometry for Viewpoint Change Representation

Ghina El Mir , Christophe Saint-Jean , Michel Berthier
Advances in Applied Clifford Algebras, 2014, 24 (2), pp.443-463
Article dans une revue hal-00831744v1
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Spin Geometry and Image Processing

Michel Berthier
2013
Pré-publication, Document de travail hal-00801224v1
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Hunt's colorimetric effect from a quantum measurement viewpoint

Michel Berthier , Edoardo Provenzi
Geometric Science of Information, Jul 2021, Paris, France
Communication dans un congrès hal-03276158v1
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n-Lüders channels: A novel class of rebit channels and their properties

Michel Berthier , Edoardo Provenzi
2023
Pré-publication, Document de travail hal-04356938v1
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A quantum information-based refoundation of color perception concepts

Michel Berthier , Nicoletta Prencipe , Edoardo Provenzi
SIAM Journal on Imaging Sciences, 2022, 15 (4), pp.1944-1976
Article dans une revue hal-03547825v2