Gilles Bertrand

Orcid: 0009-0004-7294-7081

Affiliations:
  • University of Paris-Est, ESIEE, France


According to our database1, Gilles Bertrand authored at least 94 papers between 1988 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Morse Frames.
Proceedings of the Discrete Geometry and Mathematical Morphology, 2024

Morse Sequences.
Proceedings of the Discrete Geometry and Mathematical Morphology, 2024

2023
Discrete Morse Functions and Watersheds.
J. Math. Imaging Vis., October, 2023

2022
Gradient Vector Fields of Discrete Morse Functions and Watershed-Cuts.
Proceedings of the Discrete Geometry and Mathematical Morphology, 2022

2021
Completions, Perforations and Fillings.
Proceedings of the Discrete Geometry and Mathematical Morphology, 2021

2016
Asymmetric parallel 3D thinning scheme and algorithms based on isthmuses.
Pattern Recognit. Lett., 2016

Homotopic Thinning in 2D and 3D Cubical Complexes Based on Critical Kernels.
Proceedings of the Discrete Geometry for Computer Imagery, 2016

2015
Isthmus based parallel and symmetric 3D thinning algorithms.
Graph. Model., 2015

A 3D Sequential Thinning Scheme Based on Critical Kernels.
Proceedings of the Mathematical Morphology and Its Applications to Signal and Image Processing, 2015

2014
Collapses and Watersheds in Pseudomanifolds of Arbitrary Dimension.
J. Math. Imaging Vis., 2014

Powerful Parallel and Symmetric 3D Thinning Schemes Based on Critical Kernels.
J. Math. Imaging Vis., 2014

Isthmus-Based Parallel and Asymmetric 3D Thinning Algorithms.
Proceedings of the Discrete Geometry for Computer Imagery, 2014

Completions and Simple Homotopy.
Proceedings of the Discrete Geometry for Computer Imagery, 2014

2013
A Parallel Thinning Algorithm for Grayscale Images.
Proceedings of the Discrete Geometry for Computer Imagery, 2013

New Structures Based on Completions.
Proceedings of the Discrete Geometry for Computer Imagery, 2013

2011
Completions and Simplicial Complexes.
Proceedings of the Discrete Geometry for Computer Imagery, 2011

2010
Watershed Cuts: Thinnings, Shortest Path Forests, and Topological Watersheds.
IEEE Trans. Pattern Anal. Mach. Intell., 2010

Topological Properties of Thinning in 2-D Pseudomanifolds.
J. Math. Imaging Vis., 2010

Characterization and Detection of Toric Loops in <i>n</i>-Dimensional Discrete Toric Spaces.
J. Math. Imaging Vis., 2010

2009
Watershed Cuts: Minimum Spanning Forests and the Drop of Water Principle.
IEEE Trans. Pattern Anal. Mach. Intell., 2009

New Characterizations of Simple Points in 2D, 3D, and 4D Discrete Spaces.
IEEE Trans. Pattern Anal. Mach. Intell., 2009

Uniqueness of the Perfect Fusion Grid on Z<sup><i>d</i></sup>.
J. Math. Imaging Vis., 2009

On Parallel Thinning Algorithms: Minimal Non-simple Sets, P-simple Points and Critical Kernels.
J. Math. Imaging Vis., 2009

A note on 3-D simple points and simple-equivalence.
Inf. Process. Lett., 2009

Collapses and Watersheds in Pseudomanifolds.
Proceedings of the Combinatorial Image Analysis, 13th International Workshop, 2009

Topology-Preserving Thinning in 2-D Pseudomanifolds.
Proceedings of the Discrete Geometry for Computer Imagery, 2009

2008
Minimal Simple Pairs in the 3-D Cubic Grid.
J. Math. Imaging Vis., 2008

Fusion Graphs: Merging Properties and Watersheds.
J. Math. Imaging Vis., 2008

Two-Dimensional Parallel Thinning Algorithms Based on Critical Kernels.
J. Math. Imaging Vis., 2008

Weighted fusion graphs: Merging properties and watersheds.
Discret. Appl. Math., 2008

Minimal Simple Pairs in the Cubic Grid.
Proceedings of the Discrete Geometry for Computer Imagery, 2008

On Watershed Cuts and Thinnings.
Proceedings of the Discrete Geometry for Computer Imagery, 2008

New Characterizations of Simple Points, Minimal Non-simple Sets and P-Simple Points in 2D, 3D and 4D Discrete Spaces.
Proceedings of the Discrete Geometry for Computer Imagery, 2008

Characterizing and Detecting Toric Loops in n-Dimensional Discrete Toric Spaces.
Proceedings of the Discrete Geometry for Computer Imagery, 2008

2007
Two symmetrical thinning algorithms for 3D binary images, based on P-simple points.
Pattern Recognit., 2007

On the dynamics.
Image Vis. Comput., 2007

Topological monsters in ℤ<sup>3</sup>: A non-exhaustive bestiary.
Proceedings of the 8th ISMM 2007: Rio de Janeiro, Brazil - Volume 2, 2007

Watershed cuts.
Proceedings of the 8th ISMM 2007: Rio de Janeiro, Brazil - Volume 1, 2007

2006
Euclidean homotopic skeleton based on critical kernels.
Proceedings of the 19th Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI 2006), 2006

Grayscale Watersheds on Perfect Fusion Graphs.
Proceedings of the Combinatorial Image Analysis, 11th International Workshop, 2006

New 2D Parallel Thinning Algorithms Based on Critical Kernels.
Proceedings of the Combinatorial Image Analysis, 11th International Workshop, 2006

Fusion Graphs, Region Merging and Watersheds.
Proceedings of the Discrete Geometry for Computer Imagery, 13th International Conference, 2006

A New 3D Parallel Thinning Scheme Based on Critical Kernels.
Proceedings of the Discrete Geometry for Computer Imagery, 13th International Conference, 2006

2005
Discrete Surfaces and Frontier Orders.
J. Math. Imaging Vis., 2005

Quasi-Linear Algorithms for the Topological Watershed.
J. Math. Imaging Vis., 2005

On Topological Watersheds.
J. Math. Imaging Vis., 2005

Watersheds, mosaics, and the emergence paradigm.
Discret. Appl. Math., 2005

A 3D 6-subiteration curve thinning algorithm based on <i>P</i>-simple points.
Discret. Appl. Math., 2005

Derived neighborhoods and frontier orders.
Discret. Appl. Math., 2005

Mosaics and Watersheds.
Proceedings of the Mathematical Morphology: 40 Years On, 2005

A New Definition for the Dynamics.
Proceedings of the Mathematical Morphology: 40 Years On, 2005

Algorithms for the Topological Watershed.
Proceedings of the Discrete Geometry for Computer Imagery, 12th International Conference, 2005

2004
Topology preserving alternating sequential filter for smoothing two-dimensional and three-dimensional objects.
J. Electronic Imaging, 2004

A 3D 12-subiteration thinning algorithm based on P-simple points.
Discret. Appl. Math., 2004

2003
Two 3D symmetrical thinning algorithms based on P-simple points.
Electron. Notes Discret. Math., 2003

Discretization in 2D and 3D orders.
Graph. Model., 2003

Discrete Frontiers.
Proceedings of the Discrete Geometry for Computer Imagery, 11th International Conference, 2003

2002
Discrete Geometry for Computer Imagery - Preface.
Theor. Comput. Sci., 2002

Tessellations by connection.
Pattern Recognit. Lett., 2002

A three-dimensional holes closing algorithm.
Pattern Recognit. Lett., 2002

A New 3D 6-Subiteration Thinning Algorithm Based on P-Simple Points.
Proceedings of the Discrete Geometry for Computer Imagery, 10th International Conference, 2002

2001
Topological operators for grayscale image processing.
J. Electronic Imaging, 2001

A new 3D 12-subiteration thinning algorithm based on P-simple points.
Proceedings of the 8th International Workshop on Combinatorial Image Analysis, 2001

2000
Tesselations by Connection in Orders.
Proceedings of the Discrete Geometry for Computer Imagery, 9th International Conference, 2000

Parallel Segmentation Based on Topology with the Associative Net Model.
Proceedings of the Fifth International Workshop on Computer Architectures for Machine Perception (CAMP 2000), 2000

1999
A new local property of strong n-surfaces.
Pattern Recognit. Lett., 1999

Some Topological Properties of Surfaces in Z3.
J. Math. Imaging Vis., 1999

Complete Local Characterization of Strong 26-Surfaces: Continuous Analogs for Strong 26-Surfaces.
Int. J. Pattern Recognit. Artif. Intell., 1999

Liver Blood Vessels Extraction by a 3-D Topological Approach.
Proceedings of the Medical Image Computing and Computer-Assisted Intervention, 1999

A Model for Digital Topology.
Proceedings of the Discrete Geometry for Computer Imagery, 1999

New Notions for Discrete Topology.
Proceedings of the Discrete Geometry for Computer Imagery, 1999

1998
Segmentation of boron carbide microscopic images which present twins.
Proceedings of the 9th European Signal Processing Conference, 1998

1997
Image segmentation through operators based on topology.
J. Electronic Imaging, 1997

Some Structural Properties of Discrete Surfaces.
Proceedings of the Discrete Geometry for Computer Imagery, 1997

1996
A Boolean characterization of three-dimensional simple points.
Pattern Recognit. Lett., 1996

New topological operators for segmentation.
Proceedings of the Proceedings 1996 International Conference on Image Processing, 1996

Some topological properties of discrete surfaces.
Proceedings of the Discrete Geometry for Computer Imagery, 1996

1995
A parallel thinning algorithm for medial surfaces.
Pattern Recognit. Lett., 1995

A Note on "Building Skeleton Models via 3-D Medial Surface/Axis Thinning Algorithms".
CVGIP Graph. Model. Image Process., 1995

1994
A new characterization of three-dimensional simple points.
Pattern Recognit. Lett., 1994

Simple points, topological numbers and geodesic neighborhoods in cubic grids.
Pattern Recognit. Lett., 1994

A Flexible Cellular Processor for Image Processing Applications.
Proceedings of the Applications in Parallel and Distributed Computing, 1994

1993
Topological segmentation of discrete surfaces.
Int. J. Comput. Vis., 1993

1992
Some Sequential Algorithms for a Generalized Distance Transformation Based on Minkowski Operations.
IEEE Trans. Pattern Anal. Mach. Intell., 1992

Fast characterization of 3D simple points.
Proceedings of the 11th IAPR International Conference on Pattern Recognition, 1992

A parallel image processing language based on computational models.
Proceedings of the 11th IAPR International Conference on Pattern Recognition, 1992

A new method for recognizing and locating objects by searching longest paths.
Proceedings of the 11th IAPR International Conference on Pattern Recognition, 1992

A New Topological Classification of Points in 3D Images.
Proceedings of the Computer Vision, 1992

Computational Models for Image Processing: Towards a Concise Parallel Language.
Proceedings of the Parallel Processing: CONPAR 92, 1992

1991
Topological Classification in Digital Space.
Proceedings of the Information Processing in Medical Imaging, 1991

1990
A note on "Thinning of 3-D images using the Safe Point Thinning Algorithm (SPTA)".
Pattern Recognit. Lett., 1990

A simple parallel 3D thinning algorithm.
Proceedings of the 10th IAPR International Conference on Pattern Recognition, 1990

1988
An algorithm for a generalized distance transformation based on Minkowski operations.
Proceedings of the 9th International Conference on Pattern Recognition, 1988

A fast skeletonization algorithm using derived grids.
Proceedings of the 9th International Conference on Pattern Recognition, 1988


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