H. Talbot, Étude des directions en analyse d'image, 2013.

O. Merveille, H. Talbot, L. Najman, and N. Passat, Tubular Structure Filtering by Ranking Orientation Responses of Path Operators, ECCV, Proc. Volume, pp.203-218, 2014.
DOI : 10.1007/978-3-319-10605-2_14

URL : https://hal.archives-ouvertes.fr/hal-00990014

F. Zana and J. C. Klein, Segmentation of vessel-like patterns using mathematical morphology and curvature evaluation, IEEE Transactions on Image Processing, vol.10, issue.7, pp.1010-1019, 2001.
DOI : 10.1109/83.931095

O. Tankyevych, H. Talbot, and P. Dokládal, Curvilinear morpho-Hessian filter, 2008 5th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, pp.1011-1014, 2008.
DOI : 10.1109/ISBI.2008.4541170

URL : https://hal.archives-ouvertes.fr/hal-00622440

P. Soille, E. Breen, and R. Jones, Recursive implementation of erosions and dilations along discrete lines at arbitrary angles, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.18, issue.5, pp.562-567, 1996.
DOI : 10.1109/34.494646

P. Soille and H. Talbot, Directional morphological filtering, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.23, issue.11, pp.1313-1329, 2001.
DOI : 10.1109/34.969120

URL : http://publications.jrc.ec.europa.eu/repository/handle/JRC20906

B. Naegel, N. Passat, and C. Ronse, Grey-level hit-or-miss transforms???part II: Application to angiographic image processing, Pattern Recognition, vol.40, issue.2, pp.648-658, 2007.
DOI : 10.1016/j.patcog.2006.06.011

B. Bouraoui, C. Ronse, J. Baruthio, N. Passat, and P. Germain, 3D segmentation of coronary arteries based on advanced mathematical morphology techniques, Computerized Medical Imaging and Graphics, vol.34, issue.5, pp.377-387, 2010.
DOI : 10.1016/j.compmedimag.2010.01.001

B. D. Thackray and A. C. Nelson, Semi-automatic segmentation of vascular network images using a rotating structuring element (ROSE) with mathematical morphology and dual feature thresholding, IEEE Transactions on Medical Imaging, vol.12, issue.3, pp.385-392, 1993.
DOI : 10.1109/42.241865

O. Tankyevych, H. Talbot, P. Dokládal, and N. Passat, Spatially-Variant Morpho-Hessian Filter: Efficient Implementation and Application, In: ISMM, Proc. LNCS, vol.6, issue.2, pp.137-148, 2009.
DOI : 10.1109/2945.856997

M. Buckley and H. Talbot, Flexible Linear Openings and Closings, In: ISMM, Proc, vol.18, pp.109-118, 2000.
DOI : 10.1007/0-306-47025-X_13

P. Salembier, A. Oliveras, and L. Garrido, Antiextensive connected operators for image and sequence processing, IEEE Transactions on Image Processing, vol.7, issue.4, pp.555-570, 1998.
DOI : 10.1109/83.663500

M. H. Wilkinson and M. A. Westenberg, Shape Preserving Filament Enhancement Filtering, MICCAI, Proc. Volume, pp.770-777, 2001.
DOI : 10.1007/3-540-45468-3_92

Y. Xu, T. Géraud, and L. Najman, Two Applications of Shape-Based Morphology: Blood Vessels Segmentation and a Generalization of Constrained Connectivity, In: ISMM, Proc. LNCS, vol.7883, pp.390-401, 2013.
DOI : 10.1007/978-3-642-38294-9_33

URL : https://hal.archives-ouvertes.fr/hal-00798625

V. Morard, E. Decencière, and P. Dokládal, Efficient Geodesic Attribute Thinnings Based on the Barycentric Diameter, Journal of Mathematical Imaging and Vision, vol.29, issue.2, pp.128-142, 2013.
DOI : 10.1007/s10851-012-0374-7

URL : https://hal.archives-ouvertes.fr/hal-00834415

B. Caldairou, B. Naegel, and N. Passat, Segmentation of complex images based on componenttrees: Methodological tools, In: ISMM, Proc. LNCS, vol.5720, pp.171-180, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00412967

B. Perret, J. Cousty, O. Tankyevych, H. Talbot, and N. Passat, Directed Connected Operators: Asymmetric Hierarchies for Image Filtering and Segmentation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.37, issue.6
DOI : 10.1109/TPAMI.2014.2366145

URL : https://hal.archives-ouvertes.fr/hal-00869727

A. Dufour, O. Tankyevych, B. Naegel, H. Talbot, C. Ronse et al., Filtering and segmentation of 3D angiographic data: Advances based on mathematical morphology, Medical Image Analysis, vol.17, issue.2, pp.147-164, 2013.
DOI : 10.1016/j.media.2012.08.004

URL : https://hal.archives-ouvertes.fr/hal-00679008

M. H. Wilkinson, Hyperconnectivity, Attribute-Space Connectivity and Path Openings: Theoretical Relationships, In: ISMM, Proc. LNCS, vol.24, issue.1, pp.47-58, 2009.
DOI : 10.1007/s10851-005-3616-0

J. Stawiaski, Optimal Path: Theory and Models for Vessel Segmentation, In: ISMM, Proc. LNCS, vol.6671, pp.417-428, 2011.
DOI : 10.1007/978-3-642-21569-8_36

L. Vincent, Minimal path algorithms for the robust detection of linear features in gray images, In: ISMM, Proc. CIV, vol.12, pp.331-338, 1998.

H. J. Heijmans, M. Buckley, and H. Talbot, Path Openings and Closings, Journal of Mathematical Imaging and Vision, vol.17, issue.11, pp.2-3, 2005.
DOI : 10.1007/s10851-005-4885-3

URL : https://hal.archives-ouvertes.fr/hal-00622079

L. Hendriks and C. L. , Constrained and Dimensionality-Independent Path Openings, IEEE Transactions on Image Processing, vol.19, issue.6, pp.1587-1595, 2010.
DOI : 10.1109/TIP.2010.2044959

H. Talbot and B. Appleton, Efficient complete and incomplete path openings and closings, Image and Vision Computing, vol.25, issue.4, pp.416-425, 2007.
DOI : 10.1016/j.imavis.2006.07.021

F. Cokelaer, H. Talbot, and J. Chanussot, Efficient Robust d-Dimensional Path Operators, IEEE Journal of Selected Topics in Signal Processing, vol.6, issue.7, pp.830-839, 2012.
DOI : 10.1109/JSTSP.2012.2213578

URL : https://hal.archives-ouvertes.fr/hal-00798414

V. Morard, P. Dokládal, and E. Decencière, Parsimonious Path Openings and Closings, IEEE Transactions on Image Processing, vol.23, issue.4, pp.1543-1555, 2014.
DOI : 10.1109/TIP.2014.2303647

URL : https://hal.archives-ouvertes.fr/hal-01082831

V. Bismuth, R. Vaillant, H. Talbot, and L. Najman, Curvilinear Structure Enhancement with the Polygonal Path Image - Application to Guide-Wire Segmentation in X-Ray Fluoroscopy, MICCAI, Proc. Volume, pp.9-16, 2012.
DOI : 10.1007/978-3-642-33418-4_2

URL : https://hal.archives-ouvertes.fr/hal-00741956

S. Valero, J. Chanussot, J. A. Benediktsson, H. Talbot, and B. Waske, Advanced directional mathematical morphology for the detection of the road network in very high resolution remote sensing images, Pattern Recognition Letters, vol.31, issue.10, pp.31-1120, 2010.
DOI : 10.1016/j.patrec.2009.12.018

URL : https://hal.archives-ouvertes.fr/hal-00578852

F. Rossant, M. Badellino, A. Chavillon, I. Bloch, and M. Paques, A Morphological Approach for Vessel Segmentation in Eye Fundus Images, with Quantitative Evaluation, Journal of Medical Imaging and Health Informatics, vol.1, issue.1, pp.42-48, 2011.
DOI : 10.1166/jmihi.2011.1006

E. M. Sigurðsson, S. Valero, J. A. Benediktsson, J. Chanussot, H. Talbot et al., Automatic retinal vessel extraction based on directional mathematical morphology and fuzzy classification, Pattern Recognition Letters, vol.47, pp.164-171, 2014.
DOI : 10.1016/j.patrec.2014.03.006

G. K. Ouzounis and M. H. Wilkinson, Mask-Based Second-Generation Connectivity and Attribute Filters, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.29, issue.6, pp.990-1004, 2007.
DOI : 10.1109/TPAMI.2007.1045

L. Vincent, Morphological grayscale reconstruction in image analysis: applications and efficient algorithms, IEEE Transactions on Image Processing, vol.2, issue.2, pp.176-201, 1993.
DOI : 10.1109/83.217222

G. Hamarneh and P. Jassi, VascuSynth: Simulating vascular trees for generating volumetric image data with ground-truth segmentation and tree analysis, Computerized Medical Imaging and Graphics, vol.34, issue.8, pp.605-616, 2010.
DOI : 10.1016/j.compmedimag.2010.06.002

N. Passat, B. Naegel, F. Rousseau, M. Koob, and J. L. Dietemann, Interactive segmentation based on component-trees, Pattern Recognition, vol.44, issue.10-11, pp.10-11, 2011.
DOI : 10.1016/j.patcog.2011.03.025

URL : https://hal.archives-ouvertes.fr/hal-00687001

E. R. Urbach, M. Pervukhina, and L. Bischof, Segmentation of Cracks in Shale Rock, In: ISMM, Proc. LNCS, vol.6671, pp.451-460, 2011.
DOI : 10.1007/978-3-642-21569-8_39