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Bertrand, Gilles

Co-Author Distance
Author ID:
bertrand.gilles Recent zbMATH articles by "Bertrand, Gilles"
Published as:
Bertrand, Gilles;Bertrand, G.
Documents Indexed:

63 Publications since 1990

3 Contributions as Editor

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 317 times in136 DocumentsCited by ▼Year ▼
On \(P\)-simple points. Zbl 0843.68117
Bertrand, Gilles
1995
On topological watersheds. Zbl 1478.94011
Bertrand, Gilles
2005
A new characterization of three-dimensional simple points. Zbl 0802.68178
Bertrand, Gilles;Malandain, Grégoire
1994
Some topological properties of surfaces in \(Z^3\). Zbl 0942.68132
Bertrand, Gilles;Malgouyres, Rémy
1999
On critical kernels. Zbl 1130.68098
Bertrand, Gilles
2007
New notions for discrete topology. Zbl 0935.68116
Bertrand, Gilles
1999
Two-dimensional parallel thinning algorithms based on critical kernels. Zbl 1523.68123
Bertrand, G.;Couprie, M.
2008
A new 3D parallel thinning scheme based on critical kernels. Zbl 1136.68552
Bertrand, Gilles;Couprie, Michel
2006
Quasi-linear algorithms for the topological watershed. Zbl 1478.94022
Couprie, Michel;Najman, Laurent;Bertrand, Gilles
2005
Weighted fusion graphs: Merging properties and watersheds. Zbl 1180.05117
Cousty, Jean;Couprie, Michel;Najman, Laurent;Bertrand, Gilles
2008
A 3D 6-subiteration curve thinning algorithm based on \(P\)-simple points. Zbl 1105.68108
Lohou, Christophe;Bertrand, Gilles
2005
A model for digital topology. Zbl 0935.68117
Bertrand, Gilles;Couprie, Michel
1999
Derived neighborhoods and frontier orders. Zbl 1061.68165
Daragon, Xavier;Couprie, Michel;Bertrand, Gilles
2005
Watersheds, mosaics, and the emergence paradigm. Zbl 1099.68128
Najman, Laurent;Couprie, Michel;Bertrand, Gilles
2005
On parallel thinning algorithms: minimal non-simple sets, P-simple points and critical kernels. Zbl 1490.68260
Bertrand, Gilles;Couprie, Michel
2009
Collapses and watersheds in pseudomanifolds of arbitrary dimension. Zbl 1312.68220
Cousty, Jean;Bertrand, Gilles;Couprie, Michel;Najman, Laurent
2014
Powerful parallel and symmetric 3D thinning schemes based on critical kernels. Zbl 1291.68397
Bertrand, Gilles;Couprie, Michel
2014
A 3D 12-subiteration thinning algorithm based on \(P\)-simple points. Zbl 1072.68635
Lohou, Christophe;Bertrand, Gilles
2004
A new 3D 6-subiteration thinning algorithm based on \(P\)-simple points. Zbl 1055.68591
Lohou, Christophe;Bertrand, Gilles
2002
A three-dimensional holes closing algorithm. Zbl 1012.68214
Aktouf, Zouina;Bertrand, Gilles;Perroton, Laurent
2002
Algorithms for the topological watershed. Zbl 1118.68723
Couprie, Michel;Najman, Laurent;Bertrand, Gilles
2005
On watershed cuts and thinnings. Zbl 1138.68629
Cousty, Jean;Bertrand, Gilles;Najman, Laurent;Couprie, Michel
2008
Collapses and watersheds in pseudomanifolds. Zbl 1267.68285
Cousty, Jean;Bertrand, Gilles;Couprie, Michel;Najman, Laurent
2009
A note on 3-D simple points and simple-equivalence. Zbl 1209.68578
Bertrand, Gilles;Couprie, Michel;Passat, Nicolas
2009
Discrete frontiers. Zbl 1254.68298
Daragon, Xavier;Couprie, Michel;Bertrand, Gilles
2003
Derived neighborhoods and frontier orders. Zbl 1478.94024
Daragon, Xavier;Couprie, Michel;Bertrand, Gilles
2005
Some topological properties of discrete surfaces. Zbl 1541.68376
Bertrand, Gilles;Malgouyres, Rémy
1996
New characterizations of simple points, minimal non-simple sets and P-simple points in 2D, 3D and 4D discrete spaces. Zbl 1138.68588
Couprie, Michel;Bertrand, Gilles
2008
Fusion graphs, region merging and watersheds. Zbl 1136.68562
Cousty, Jean;Bertrand, Gilles;Couprie, Michel;Najman, Laurent
2006
Characterizing and detecting toric loops in \(n\)-dimensional discrete toric spaces. Zbl 1138.68587
Chaussard, John;Bertrand, Gilles;Couprie, Michel
2008
Minimal simple pairs in the cubic grid. Zbl 1138.68611
Passat, Nicolas;Couprie, Michel;Bertrand, Gilles
2008
Fusion graphs: merging properties and watersheds. Zbl 1493.68380
Cousty, J.;Bertrand, G.;Couprie, M.;Najman, L.
2008
Minimal simple pairs in the 3-D cubic grid. Zbl 1523.68158
Passat, N.;Couprie, M.;Bertrand, G.
2008
Two symmetrical thinning algorithms for 3D binary images, based on \(P\)-simple points. Zbl 1115.68157
Lohou, Christophe;Bertrand, Gilles
2007
A new 3D 12-subiteration thinning algorithm based on \(P\)-simple points. Zbl 1260.68433
Lohou, Christophe;Bertrand, Gilles
2001
New structures based on completions. Zbl 1382.68247
Bertrand, Gilles
2013
Completions and simple homotopy. Zbl 1419.57042
Bertrand, Gilles
2014
Watersheds in discrete spaces. Zbl 1232.05087
Bertrand, Gilles;Couprie, Michel;Cousty, Jean;Najman, Laurent
2010
Digital and image geometry. Advanced lectures. Zbl 0984.00020
2001
Topological properties of thinning in 2-D pseudomanifolds. Zbl 1392.94040
Passat, Nicolas;Couprie, Michel;Mazo, Loïc;Bertrand, Gilles
2010
Two 3D symmetrical thinning algorithms based on P-simple points. Zbl 1173.68769
Lohou, Christophe;Bertrand, Gilles
2003
Gradient vector fields of discrete Morse functions and watershed-cuts. Zbl 1532.57019
Boutry, Nicolas;Bertrand, Gilles;Najman, Laurent
2022
Isthmus-based parallel and asymmetric 3D thinning algorithms. Zbl 1417.68235
Couprie, Michel;Bertrand, Gilles
2014
Completions and simplicial complexes. Zbl 1272.68424
Bertrand, Gilles
2011
Tesselations by connection in orders. Zbl 1043.68791
Couprie, Michel;Bertrand, Gilles
2000
Discretization in 2D and 3D orders. Zbl 1039.68142
Couprie, Michel;Bertrand, Gilles;Kenmochi, Yukiko
2003
Some structural properties of discrete surfaces. Zbl 0887.68114
Bertrand, Gilles;Couprie, Michel
1997
Uniqueness of the perfect fusion grid on \(\mathbb{Z}^d\). Zbl 1493.68381
Cousty, Jean;Bertrand, Gilles
2009
A parallel thinning algorithm for grayscale images. Zbl 1382.68290
Couprie, Michel;Bezerra, Nivando;Bertrand, Gilles
2013
Completions, perforations and fillings. Zbl 1484.68264
Bertrand, Gilles
2021
Discrete topological transformations for image processing. Zbl 1251.68285
Couprie, Michel;Bertrand, Gilles
2012
Tessellations by connection. Zbl 1006.68118
Couprie, Michel;Bertrand, Gilles
2002
A 3D-hole closing algorithm. Zbl 1541.68414
Aktouf, Zouina;Bertrand, Gilles;Perroton, Laurent
1996
Gradient vector fields of discrete Morse functions and watershed-cuts. Zbl 1532.57019
Boutry, Nicolas;Bertrand, Gilles;Najman, Laurent
2022
Completions, perforations and fillings. Zbl 1484.68264
Bertrand, Gilles
2021
Collapses and watersheds in pseudomanifolds of arbitrary dimension. Zbl 1312.68220
Cousty, Jean;Bertrand, Gilles;Couprie, Michel;Najman, Laurent
2014
Powerful parallel and symmetric 3D thinning schemes based on critical kernels. Zbl 1291.68397
Bertrand, Gilles;Couprie, Michel
2014
Completions and simple homotopy. Zbl 1419.57042
Bertrand, Gilles
2014
Isthmus-based parallel and asymmetric 3D thinning algorithms. Zbl 1417.68235
Couprie, Michel;Bertrand, Gilles
2014
New structures based on completions. Zbl 1382.68247
Bertrand, Gilles
2013
A parallel thinning algorithm for grayscale images. Zbl 1382.68290
Couprie, Michel;Bezerra, Nivando;Bertrand, Gilles
2013
Discrete topological transformations for image processing. Zbl 1251.68285
Couprie, Michel;Bertrand, Gilles
2012
Completions and simplicial complexes. Zbl 1272.68424
Bertrand, Gilles
2011
Watersheds in discrete spaces. Zbl 1232.05087
Bertrand, Gilles;Couprie, Michel;Cousty, Jean;Najman, Laurent
2010
Topological properties of thinning in 2-D pseudomanifolds. Zbl 1392.94040
Passat, Nicolas;Couprie, Michel;Mazo, Loïc;Bertrand, Gilles
2010
On parallel thinning algorithms: minimal non-simple sets, P-simple points and critical kernels. Zbl 1490.68260
Bertrand, Gilles;Couprie, Michel
2009
Collapses and watersheds in pseudomanifolds. Zbl 1267.68285
Cousty, Jean;Bertrand, Gilles;Couprie, Michel;Najman, Laurent
2009
A note on 3-D simple points and simple-equivalence. Zbl 1209.68578
Bertrand, Gilles;Couprie, Michel;Passat, Nicolas
2009
Uniqueness of the perfect fusion grid on \(\mathbb{Z}^d\). Zbl 1493.68381
Cousty, Jean;Bertrand, Gilles
2009
Two-dimensional parallel thinning algorithms based on critical kernels. Zbl 1523.68123
Bertrand, G.;Couprie, M.
2008
Weighted fusion graphs: Merging properties and watersheds. Zbl 1180.05117
Cousty, Jean;Couprie, Michel;Najman, Laurent;Bertrand, Gilles
2008
On watershed cuts and thinnings. Zbl 1138.68629
Cousty, Jean;Bertrand, Gilles;Najman, Laurent;Couprie, Michel
2008
New characterizations of simple points, minimal non-simple sets and P-simple points in 2D, 3D and 4D discrete spaces. Zbl 1138.68588
Couprie, Michel;Bertrand, Gilles
2008
Characterizing and detecting toric loops in \(n\)-dimensional discrete toric spaces. Zbl 1138.68587
Chaussard, John;Bertrand, Gilles;Couprie, Michel
2008
Minimal simple pairs in the cubic grid. Zbl 1138.68611
Passat, Nicolas;Couprie, Michel;Bertrand, Gilles
2008
Fusion graphs: merging properties and watersheds. Zbl 1493.68380
Cousty, J.;Bertrand, G.;Couprie, M.;Najman, L.
2008
Minimal simple pairs in the 3-D cubic grid. Zbl 1523.68158
Passat, N.;Couprie, M.;Bertrand, G.
2008
On critical kernels. Zbl 1130.68098
Bertrand, Gilles
2007
Two symmetrical thinning algorithms for 3D binary images, based on \(P\)-simple points. Zbl 1115.68157
Lohou, Christophe;Bertrand, Gilles
2007
A new 3D parallel thinning scheme based on critical kernels. Zbl 1136.68552
Bertrand, Gilles;Couprie, Michel
2006
Fusion graphs, region merging and watersheds. Zbl 1136.68562
Cousty, Jean;Bertrand, Gilles;Couprie, Michel;Najman, Laurent
2006
On topological watersheds. Zbl 1478.94011
Bertrand, Gilles
2005
Quasi-linear algorithms for the topological watershed. Zbl 1478.94022
Couprie, Michel;Najman, Laurent;Bertrand, Gilles
2005
A 3D 6-subiteration curve thinning algorithm based on \(P\)-simple points. Zbl 1105.68108
Lohou, Christophe;Bertrand, Gilles
2005
Derived neighborhoods and frontier orders. Zbl 1061.68165
Daragon, Xavier;Couprie, Michel;Bertrand, Gilles
2005
Watersheds, mosaics, and the emergence paradigm. Zbl 1099.68128
Najman, Laurent;Couprie, Michel;Bertrand, Gilles
2005
Algorithms for the topological watershed. Zbl 1118.68723
Couprie, Michel;Najman, Laurent;Bertrand, Gilles
2005
Derived neighborhoods and frontier orders. Zbl 1478.94024
Daragon, Xavier;Couprie, Michel;Bertrand, Gilles
2005
A 3D 12-subiteration thinning algorithm based on \(P\)-simple points. Zbl 1072.68635
Lohou, Christophe;Bertrand, Gilles
2004
Discrete frontiers. Zbl 1254.68298
Daragon, Xavier;Couprie, Michel;Bertrand, Gilles
2003
Two 3D symmetrical thinning algorithms based on P-simple points. Zbl 1173.68769
Lohou, Christophe;Bertrand, Gilles
2003
Discretization in 2D and 3D orders. Zbl 1039.68142
Couprie, Michel;Bertrand, Gilles;Kenmochi, Yukiko
2003
A new 3D 6-subiteration thinning algorithm based on \(P\)-simple points. Zbl 1055.68591
Lohou, Christophe;Bertrand, Gilles
2002
A three-dimensional holes closing algorithm. Zbl 1012.68214
Aktouf, Zouina;Bertrand, Gilles;Perroton, Laurent
2002
Tessellations by connection. Zbl 1006.68118
Couprie, Michel;Bertrand, Gilles
2002
A new 3D 12-subiteration thinning algorithm based on \(P\)-simple points. Zbl 1260.68433
Lohou, Christophe;Bertrand, Gilles
2001
Digital and image geometry. Advanced lectures. Zbl 0984.00020
2001
Tesselations by connection in orders. Zbl 1043.68791
Couprie, Michel;Bertrand, Gilles
2000
Some topological properties of surfaces in \(Z^3\). Zbl 0942.68132
Bertrand, Gilles;Malgouyres, Rémy
1999
New notions for discrete topology. Zbl 0935.68116
Bertrand, Gilles
1999
A model for digital topology. Zbl 0935.68117
Bertrand, Gilles;Couprie, Michel
1999
Some structural properties of discrete surfaces. Zbl 0887.68114
Bertrand, Gilles;Couprie, Michel
1997
Some topological properties of discrete surfaces. Zbl 1541.68376
Bertrand, Gilles;Malgouyres, Rémy
1996
A 3D-hole closing algorithm. Zbl 1541.68414
Aktouf, Zouina;Bertrand, Gilles;Perroton, Laurent
1996
On \(P\)-simple points. Zbl 0843.68117
Bertrand, Gilles
1995
A new characterization of three-dimensional simple points. Zbl 0802.68178
Bertrand, Gilles;Malandain, Grégoire
1994
alltop 5

Cited by 154 Authors

35 Bertrand, Gilles
24 Couprie, Michel
20 Najman, Laurent
13 Passat, Nicolas
11 Han, Sang-Eon
10 Cousty, Jean
8 Boutry, Nicolas
6 Kenmochi, Yukiko
6 Palágyi, Kálmán
5 Géraud, Thierry
5 Lohou, Christophe
5 Mazo, Loïc
4 Kardos, Peter
4 Ronse, Christian
3 Boxer, Laurence
3 Daragon, Xavier
3 Dehlinger, Christophe
3 Domínguez, Eladio
3 Dufourd, Jean-François
3 Francés, Angel R.
3 Kong, Tat Yung
3 Lienhardt, Pascal
3 Malgouyres, Rémy
3 Ngo, Phuc
3 Quintero, Antonio
2 Alayrangues, Sylvie
2 Ayala, Rafael
2 Chaussard, John
2 Damiand, Guillaume
2 Ege, Ozgur
2 Elmoataz, Abderrahim
2 González-Díaz, Rocío
2 Guimarães, Silvio Jamil Ferzoli
2 Karaca, Ismet
2 Karai, Gábor
2 Lachaud, Jacques-Olivier
2 Leborgne, Aurélie
2 Melin, Erik
2 Nagy, Benedek
2 Peltier, Samuel
2 Talbot, Hugues
2 Toutain, Matthieu
2 Vacavant, Antoine
1 Akil, Mohamed
1 Aktouf, Zouina
1 Audigier, Romaric
1 Babout, Laurent
1 Bac, Alexandra
1 Bai, Ying
1 Balakrishnan, Kannan
1 Batavia, Darshan
1 Bergot, C.
1 Bernard, Thierry M.
1 Biri, Venceslas
1 Bloch, Isabelle
1 Bousson, V.
1 Burguet, Jasmine
1 Casablanca, Rocío M.
1 Cheng, Heng-Da
1 Chenin, Patrick
1 Cirak, Fehmi
1 Ciria, Jose C.
1 Coeurjolly, David
1 Cointepas, Yann
1 Čomić, Lidija
1 Cotsakis, Ryan
1 Cousty, Jean
1 Cuevas, Francisco J.
1 Daniel, Marc
1 Debayle, Johan
1 Debenest, Gérald
1 Deddi, Hafsa
1 Dias, Fabio C. S.
1 Dietemann, Jean-Louis
1 Dupas, Alexandre
1 Escribano, Carmen
1 Evako, Alexander V.
1 Fourey, Sébastien
1 Franc, Jacques
1 Fuchs, Laurent
1 Gallier, Jean H.
1 Garnero, Line
1 Gee, James C.
1 Giraldo, Antonio
1 Goldfarb, Boris
1 Guibert, Romain
1 Han, Xiao
1 He, Yunzhen
1 Horgue, Pierre
1 Janaszewski, Marcin
1 Jiménez, María José
1 Jordan, Michel
1 Khachan, Mohammed
1 Klette, Reinhard
1 Koob, Mériam
1 Kropatsch, Walter G.
1 Kudelski, Dimitri
1 Latecki, Longin Jan
1 Levine, Joshua Aaron
1 Lin, Xiaoshan
...and 54 more Authors
alltop 5

Cited in 28 Serials

38 Journal of Mathematical Imaging and Vision
16 Discrete Applied Mathematics
7 Pattern Recognition
6 Information Sciences
6 Theoretical Computer Science
3 Annals of Mathematics and Artificial Intelligence
2 Computer Methods in Applied Mechanics and Engineering
2 Topology and its Applications
2 Acta Applicandae Mathematicae
2 Topology Proceedings
1 Information Processing Letters
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Journal of Approximation Theory
1 Note di Matematica
1 Discrete & Computational Geometry
1 Signal Processing
1 Computational Geometry
1 Filomat
1 Advances in Computational Mathematics
1 Journal of Combinatorial Optimization
1 Computational Geosciences
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Mathematics in Computer Science
1 SIAM Journal on Imaging Sciences
1 Journal of Linear and Topological Algebra
1 Open Mathematics
1 Actes des Rencontres du C.I.R.M.
alltop 5

Cited in 21 Fields

113 Computer science (68-XX)
18 Algebraic topology (55-XX)
16 Information and communication theory, circuits (94-XX)
14 Combinatorics (05-XX)
13 General topology (54-XX)
12 Manifolds and cell complexes (57-XX)
7 Convex and discrete geometry (52-XX)
5 Numerical analysis (65-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
3 Statistics (62-XX)
2 Partial differential equations (35-XX)
2 Approximations and expansions (41-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Mechanics of deformable solids (74-XX)
2 Fluid mechanics (76-XX)
2 Biology and other natural sciences (92-XX)
1 Algebraic geometry (14-XX)
1 Ordinary differential equations (34-XX)
1 Operator theory (47-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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