×
Author ID: berthier.michel Recent zbMATH articles by "Berthier, Michel"
Published as: Berthier, Michel; Berthier, M.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

22 Publications have been cited 171 times in 141 Documents Cited by Year
Reversibility and classification of nilpotent centers. (Réversibilité et classification des centres nilpotents.) Zbl 0803.34005
Berthier, M.; Moussu, R.
52
1994
Clifford-Fourier transform for color image processing. Zbl 1214.68423
Batard, Thomas; Berthier, Michel; Saint-Jean, Christophe
20
2010
On real analytic foliations and the center problem. (Sur les feuilletages analytiques réels et le problème du centre.) Zbl 0886.58090
Berthier, M.; Cerveau, D.; Lins Neto, A.
13
1996
Clifford-Fourier transform and spinor representation of images. Zbl 1272.68421
Batard, Thomas; Berthier, Michel
11
2013
On the classification of nilpotent singularities. Zbl 0963.32021
Berthier, M.; Meziani, R.; Sad, P.
9
1999
A metric approach to nD images edge detection with Clifford algebras. Zbl 1523.68140
Batard, Thomas; Saint-Jean, Christophe; Berthier, Michel
8
2008
Some relative cohomology computations. (Quelques calculs de cohomologie relative.) Zbl 0805.32007
Berthier, Michel; Cerveau, Dominique
7
1993
Geometry of color perception. II: Perceived colors from real quantum states and Hering’s rebit. Zbl 1448.91233
Berthier, M.
7
2020
On the integration of reduced holomorphic differential equations in dimension two. (Sur l’intégration des équations différentielles holomorphes réduites en dimension deux.) Zbl 0969.34074
Berthier, M.; Touzet, F.
6
1999
Conformal geometry for viewpoint change representation. Zbl 1322.53015
El Mir, Ghina; Saint-Jean, Christophe; Berthier, Michel
6
2014
Isotropic transformations of germs of holomorphic foliations. (Transformations isotropes des germes de feuilletages holomorphes.) Zbl 0936.32021
Berthier, M.; Cerveau, D.; Meziani, R.
5
1999
The color monogenic signal: application to color edge detection and color optical flow. Zbl 1255.68228
Demarcq, Guillaume; Mascarilla, Laurent; Berthier, Michel; Courtellemont, Pierre
5
2011
A \(k\)-order fuzzy OR operator for pattern classification with \(k\)-order ambiguity rejection. Zbl 1187.68480
Mascarilla, Laurent; Berthier, Michel; Frélicot, Carl
4
2008
From Riemannian trichromacy to quantum color opponency via hyperbolicity. Zbl 1524.78075
Berthier, Michel; Provenzi, Edoardo
4
2021
Relative cohomology of nondegenerate resonance forms. (Cohomologie relative des formes résonnantes non dégénérées.) Zbl 0896.32017
Berthier, Michel; Loray, Frank
3
1997
When geometry meets psycho-physics and quantum mechanics: modern perspectives on the space of perceived colors. Zbl 1458.53017
Berthier, Michel; Provenzi, Edoardo
3
2019
A quantum information-based refoundation of color perception concepts. Zbl 1513.81010
Berthier, Michel; Prencipe, Nicoletta; Provenzi, Edoardo
2
2022
Clifford algebra bundles to multidimensional image segmentation. Zbl 1200.94011
Batard, Thomas; Berthier, Michel
2
2010
Multiple relaxation time lattice Boltzmann schemes for advection-diffusion equations with application to radar image processing. Zbl 07605583
Michelet, Jordan; Tekitek, Mohamed Mahdi; Berthier, Michel
1
2022
Spin geometry and image processing. Zbl 1322.53046
Berthier, Michel
1
2014
Hunt’s colorimetric effect from a quantum measurement viewpoint. Zbl 1487.81006
Berthier, Michel; Provenzi, Edoardo
1
2021
The relativity of color perception. Zbl 1474.91144
Berthier, Michel; Garcin, Valérie; Prencipe, Nicoletta; Provenzi, Edoardo
1
2021
A quantum information-based refoundation of color perception concepts. Zbl 1513.81010
Berthier, Michel; Prencipe, Nicoletta; Provenzi, Edoardo
2
2022
Multiple relaxation time lattice Boltzmann schemes for advection-diffusion equations with application to radar image processing. Zbl 07605583
Michelet, Jordan; Tekitek, Mohamed Mahdi; Berthier, Michel
1
2022
From Riemannian trichromacy to quantum color opponency via hyperbolicity. Zbl 1524.78075
Berthier, Michel; Provenzi, Edoardo
4
2021
Hunt’s colorimetric effect from a quantum measurement viewpoint. Zbl 1487.81006
Berthier, Michel; Provenzi, Edoardo
1
2021
The relativity of color perception. Zbl 1474.91144
Berthier, Michel; Garcin, Valérie; Prencipe, Nicoletta; Provenzi, Edoardo
1
2021
Geometry of color perception. II: Perceived colors from real quantum states and Hering’s rebit. Zbl 1448.91233
Berthier, M.
7
2020
When geometry meets psycho-physics and quantum mechanics: modern perspectives on the space of perceived colors. Zbl 1458.53017
Berthier, Michel; Provenzi, Edoardo
3
2019
Conformal geometry for viewpoint change representation. Zbl 1322.53015
El Mir, Ghina; Saint-Jean, Christophe; Berthier, Michel
6
2014
Spin geometry and image processing. Zbl 1322.53046
Berthier, Michel
1
2014
Clifford-Fourier transform and spinor representation of images. Zbl 1272.68421
Batard, Thomas; Berthier, Michel
11
2013
The color monogenic signal: application to color edge detection and color optical flow. Zbl 1255.68228
Demarcq, Guillaume; Mascarilla, Laurent; Berthier, Michel; Courtellemont, Pierre
5
2011
Clifford-Fourier transform for color image processing. Zbl 1214.68423
Batard, Thomas; Berthier, Michel; Saint-Jean, Christophe
20
2010
Clifford algebra bundles to multidimensional image segmentation. Zbl 1200.94011
Batard, Thomas; Berthier, Michel
2
2010
A metric approach to nD images edge detection with Clifford algebras. Zbl 1523.68140
Batard, Thomas; Saint-Jean, Christophe; Berthier, Michel
8
2008
A \(k\)-order fuzzy OR operator for pattern classification with \(k\)-order ambiguity rejection. Zbl 1187.68480
Mascarilla, Laurent; Berthier, Michel; Frélicot, Carl
4
2008
On the classification of nilpotent singularities. Zbl 0963.32021
Berthier, M.; Meziani, R.; Sad, P.
9
1999
On the integration of reduced holomorphic differential equations in dimension two. (Sur l’intégration des équations différentielles holomorphes réduites en dimension deux.) Zbl 0969.34074
Berthier, M.; Touzet, F.
6
1999
Isotropic transformations of germs of holomorphic foliations. (Transformations isotropes des germes de feuilletages holomorphes.) Zbl 0936.32021
Berthier, M.; Cerveau, D.; Meziani, R.
5
1999
Relative cohomology of nondegenerate resonance forms. (Cohomologie relative des formes résonnantes non dégénérées.) Zbl 0896.32017
Berthier, Michel; Loray, Frank
3
1997
On real analytic foliations and the center problem. (Sur les feuilletages analytiques réels et le problème du centre.) Zbl 0886.58090
Berthier, M.; Cerveau, D.; Lins Neto, A.
13
1996
Reversibility and classification of nilpotent centers. (Réversibilité et classification des centres nilpotents.) Zbl 0803.34005
Berthier, M.; Moussu, R.
52
1994
Some relative cohomology computations. (Quelques calculs de cohomologie relative.) Zbl 0805.32007
Berthier, Michel; Cerveau, Dominique
7
1993
all top 5

Cited by 166 Authors

25 Giné, Jaume
18 Algaba, Antonio
18 García, Cristóbal
10 Llibre, Jaume
9 Berthier, Michel
9 Hitzer, Eckhard
5 García, Isaac A.
5 Provenzi, Edoardo
4 Batard, Thomas
4 Bujack, Roxana
4 Cerveau, Dominique
4 Fernández-Sánchez, Percy
4 Reyes, Manuel
4 Scardua, Bruno
4 Scheuermann, Gerik
4 Wu, Yusen
3 Gamero, Estanislao
3 Genzmer, Yohann
3 Giacomini, Hector J.
3 Li, Feng
3 Loray, Frank
3 Mozo-Fernández, Jorge
3 Sabatini, Marco
2 Cao, Wenming
2 Checa, Isabel
2 Filimoshina, Ekaterina
2 Frélicot, Carl
2 Fuentes, Natalia
2 Le Capitaine, Hoel
2 León, Victor
2 Maza, Susanna
2 Neciosup, Hernán
2 Prencipe, Nicoletta
2 Sangwine, Stephen J.
2 Shirokov, Dmitry S.
2 Stróżyna, Ewa
2 Touzet, Frédéric
2 Wang, Liping
2 Yu, Pei
2 Żołądek, Henryk
1 Ahern, Patrick B.
1 Alcántara, Claudia R.
1 Aldé, Michele
1 Angulo, Jesús
1 Arriagada, Waldo G.
1 Backes, André Ricardo
1 Baran, Ramona
1 Belaid, Ahror
1 Benger, Werner
1 Bernstein, Swanhild
1 Bioucas-Dias, José M.
1 Bouali, Bouchta
1 Bouchot, Jean-Luc
1 Boukerroui, Djamal
1 Bouyachcher, Fadoua
1 Bruno, Odemir Martinez
1 Cantat, Serge
1 Cariow, Aleksandr
1 Cariowa, Galina
1 Carré, Philippe
1 Casale, Guy
1 Chang, Feng-Yu
1 Chen, Beijing
1 Chen, Gang
1 Chen, Haibo
1 Ciaglia, Florio Maria
1 Coatrieux, Gouenou
1 Coatrieux, Jean-Louis
1 Condessa, Filipe
1 Corral, Nuria
1 Courtellemont, Pierre
1 Coutinho, S. C.
1 De Bie, Hendrik
1 De Keninck, Steven
1 de Mesquita Sá Junior, Jarbas Joaci
1 De Schepper, Nele
1 Demarcq, Guillaume
1 Díaz, Maria Elena
1 El Kamel, Jamel
1 El Mir, Ghina
1 Fang, Nian
1 Faugeras, Olivier D.
1 Feng, Jiqiang
1 Fernández, Percy Fernández Sánchez Jorge Mozo
1 Franchini, Silvia
1 Gai, Shan
1 Garba Belko, Djibrilla
1 Garcin, Valérie
1 Gentile, Antonio
1 Gomes, Narciso
1 Gong, Xianghong
1 Grau, Maite
1 Guirardel, Vincent
1 Hartmann, Stefan
1 He, Yinmei
1 Heise, Bettina
1 Ilyin, Oleg
1 Jday, Rim
1 Jebrane, Ahmed
1 Jost, Jürgen
...and 66 more Authors
all top 5

Cited in 60 Serials

13 Advances in Applied Clifford Algebras
12 Journal of Differential Equations
8 Journal of Mathematical Analysis and Applications
7 Journal of Mathematical Imaging and Vision
7 Bulletin des Sciences Mathématiques
6 Qualitative Theory of Dynamical Systems
5 Applied Mathematics and Computation
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Annales de l’Institut Fourier
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Chaos, Solitons and Fractals
3 Pattern Recognition
3 Journal of Dynamical and Control Systems
3 SIAM Journal on Imaging Sciences
2 Mathematical Methods in the Applied Sciences
2 Fuzzy Sets and Systems
2 Mathematics and Computers in Simulation
2 Proceedings of the American Mathematical Society
2 Boletim da Sociedade Brasileira de Matemática. Nova Série
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Complex Analysis and Operator Theory
2 Journal of Singularities
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Compositio Mathematica
1 Geometriae Dedicata
1 Journal of Mathematical Psychology
1 Journal of the Mathematical Society of Japan
1 Journal of Number Theory
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Acta Applicandae Mathematicae
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 International Journal of Mathematics
1 European Journal of Applied Mathematics
1 Multidimensional Systems and Signal Processing
1 L’Enseignement Mathématique. 2e Série
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Discrete and Continuous Dynamical Systems
1 Mathematical Problems in Engineering
1 Mathematical Physics, Analysis and Geometry
1 Soft Computing
1 Journal of Inequalities and Applications
1 Revista Matemática Complutense
1 Communications in Nonlinear Science and Numerical Simulation
1 International Journal of Applied Mathematics and Computer Science
1 Nonlinear Analysis. Real World Applications
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Mediterranean Journal of Mathematics
1 Advances in Difference Equations
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Complex Variables and Elliptic Equations
1 Journal of Physics A: Mathematical and Theoretical
1 Science China. Information Sciences
1 Journal of Mathematics and Computer Science. JMCS
1 The Journal of Mathematical Neuroscience
1 Journal de l’École Polytechnique – Mathématiques
1 Applied Mathematics and Nonlinear Sciences
1 Journal of Finsler Geometry and its Applications
all top 5

Cited in 36 Fields

61 Ordinary differential equations (34-XX)
38 Dynamical systems and ergodic theory (37-XX)
30 Several complex variables and analytic spaces (32-XX)
21 Linear and multilinear algebra; matrix theory (15-XX)
15 Computer science (68-XX)
15 Information and communication theory, circuits (94-XX)
8 Functions of a complex variable (30-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
7 Differential geometry (53-XX)
7 Numerical analysis (65-XX)
7 Quantum theory (81-XX)
7 Biology and other natural sciences (92-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Number theory (11-XX)
4 Algebraic geometry (14-XX)
4 Partial differential equations (35-XX)
4 Manifolds and cell complexes (57-XX)
3 Nonassociative rings and algebras (17-XX)
3 Topological groups, Lie groups (22-XX)
3 Integral transforms, operational calculus (44-XX)
2 Group theory and generalizations (20-XX)
2 Abstract harmonic analysis (43-XX)
2 Operator theory (47-XX)
2 Geometry (51-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 Measure and integration (28-XX)
1 Integral equations (45-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Operations research, mathematical programming (90-XX)
1 Systems theory; control (93-XX)

Citations by Year