Publications
G. Bertrand and G. Malandain, "A new characterization of three-dimensional simple points", Pattern Rec. Letters, 15, 169-175, 1994.
G. Bertrand, "Simple points, topological numbers and geodesic neighborhoods", Pattern Rec. Letters, 15, 1003-1011, 1994.
G. Bertrand, "A parallel thinning algorithm for medial surfaces", Pattern Rec. Letters, 16, 979-96, 1995.
G.Bertrand, "On P-simple points", Comptes Rendus Acad. des Sciences, Série Math., t. 321, Série I, pp; 1077-1084, 1995.
G. Bertrand and G. Malandain, "A note on "building skeleton models via 3-D medial surface/axis thinning algorithms"", CVGIP: Graphical Models and Image Processing, Vol. 57, N. 6, 537-538, 1995.
L. Perroton, "A new 26-connected objects surface tracking algorithm and its related PRAM version", Special issue of International Journal on Pattern Recognition and artificial Intelligence, 231-246, 1995.
G. Bertrand, "A Boolean characterization of three-dimensional simple points", Pattern Rec. Letters, 17, 115-124, 1996.
G. Bertrand, J. C. Everat and M. Couprie, "Image segmentation through operators based upon topology", Journal of Electronic Imaging, Vol. 6, N. 4, 395-405, 1997.
R. Malgouyres, G. Bertrand, "A new local property of strong n-surfaces", Pattern Rec. Letters, 20, 417-428, 1999.
G. Bertrand, "On the computation of topological numbers", 4th Conf. on Discrete Geometry, 137-146, 1994.
G. Bertrand, Z. Aktouf, " A three-dimensional thinning algorithm using subfields", SPIE Vision Geometry III, Vol. 2356, 113-124, 1994.
L. Perroton, "Contour tracking of 3D 26-connected discrete objects", IS&T/SPIE Symposium on Electronic Imaging, Science & Technology (Image and Video Processing II), 1994.
L. Perroton, "A new 26-connected objects surface tracking algorithm and its related PRAM version", Third International Workshop on Parallel Image Analysis, 1994.
G. Bertrand, "P-simple points: a solution for parallel thinning", 5th Conf. on Discrete Geometry, 233-242, 1995.
G. Bertrand, "Sufficient conditions for 3D parallel thinning algorithms", SPIE Vision Geometry IV, Vol. 2573, 52-60, 1995.
Z. Aktouf, G. Bertrand, L. Perroton, "A three-dimensional holes closing algorithm", Discrete geometry for computer imagery, Vol. 1176, 36-48, Springer Verlag, 1996.
A. de Albuquerque, G. Bertrand, "Enhancement of paintings infrared photographies using mathematical morphology and topological processing", SPIE Applications of digital image processing , Vol. 2847, 677-685,1996.
G. Bertrand, J.C. Everat, M. Couprie, " Topological approach to image segmentation", SPIE Vision Geometry V, Vol. 2826, 65-76, 1996.
G. Bertrand, R. Malgouyres, "Some topological properties of discrete surfaces", Discrete geometry for computer imagery, Vol. 1176, 325-336, Springer Verlag, 1996.
J.C. Everat, G. Bertrand, "New topological operators for segmentation", IEEE Int. Conf. on Image Proc., Vol. III/III, 45-48, 1996.
J.C. Everat, G. Bertrand, and M. Couprie, "Reconstruction operators for image segmentation", to appear in Proceedings of 3rd International Workshop on Visual Form, IAPR, Capri 1997.
G. Bertrand and M. Couprie, "Some structural properties of surfaces", Discrete geometry for computer imagery, Vol. 1347, 113-124, Springer Verlag, 1997.
M. Couprie and G. Bertrand, "Topological Grayscale Watershed Transformation", SPIE Vision Geometry V Proceedings, Vol. 3168, 136-146, 1997.
L. Perroton and Z. Aktouf, "Parallelization of an Efficient 3D Thinning Algorithm", SPIE Proceedings (Parallel and Distributed Methods for Image Processing), Vol. 3166, 128-134, 1997.
G. Bertrand and R. Malgouyres, "Local property of strong surfaces", SPIE Vision Geometry VI., Vol. 3168, pp.318-327, 1997.
R. Malgouyres and G. Bertrand, "Complete local characterization of strong 26-surfaces", Int. Work. on Par. Im. An., pp. 192-201, 1997.
M. Couprie and G. Bertrand: "Simplicity surfaces: a new definition of surfaces in Z3", SPIE Vision Geometry V Proceedings, Vol. 3454, pp.40-51, 1998.
G. Bertrand: "New notions for discrete topology", proc. of the Discrete geometry for computer imagery conference, Lect. notes in comp. science, vol. 1568, pp. 216-226, Springer Verlag, 1999.
G. Bertrand and M. Couprie: "A model for digital topology", proc. of the Discrete geometry for computer imagery conference, Lect. notes in comp. science, vol. 1568, pp. 227-239, Springer Verlag, 1999.
P. Dokládal, C. Lohou, L. Perroton, G. Bertrand: "A new thinning algorithm and its application to the extraction of blood vessels", Procs. of Biomedsim'99, pp. 32-37, ESIEE Noisy-le-Grand, France, 1999.
M. Couprie, F. Nivando Bezerra and G. Bertrand: "Grayscale image processing using topological operators", SPIE Vision Geometry VIII Proceedings, vol. 3811, pp. 261-272, 1999.
C. Lohou, G. Bertrand: "Poset approach to 3D parallel thinning", SPIE Vision Geometry VIII Proceedings, vol. 3811, pp. 45-56, 1999.
J.C. Everat: "Topologie des coupes et segmentation d'images par extraction de minima", thèse de doctorat de l'Université Denis Diderot (Paris VII), 1997.
Zouina Aktouf, "Opérateurs Topologiques pour Images Binaires 3D", thèse de doctorat de l'Université Paris Sud, 1997.
Marcos C. Andrade, "Méthode topologique de segmentation d'images par attributs", thèse en co-tutelle avec l'Université de Belo Horizonte (Brésil), 1998.