C. Sinthanayothin, J. Boyce, H. Cook, and T. Williamson, Automated localisation of the optic disc, fovea, and retinal blood vessels from digital colour fundus images, British Journal of Ophthalmology, vol.83, issue.8, pp.902-910, 1999.
DOI : 10.1136/bjo.83.8.902

T. Walter and J. Klein, Segmentation of color fundus images of the human retina: Detection of the optic disc and the vascular tree using morphological techniques, " in Medical Data Analysis, ser, Lecture Notes in Computer Science, J. Crespo

Y. Rouchdy and L. Cohen, Image segmentation by geodesic voting. Application to the extraction of tree structures from confocal microscope images, 2008 19th International Conference on Pattern Recognition, pp.1-5, 2008.
DOI : 10.1109/ICPR.2008.4761763
URL : https://hal.archives-ouvertes.fr/hal-00691906

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, Medical Image Computing and Computer-Assisted Intervention?MICCAI 2012, 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. 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.1120-1127, 2010.
DOI : 10.1016/j.patrec.2009.12.018
URL : https://hal.archives-ouvertes.fr/hal-00578852

V. Morard, E. Decencì, and P. Dokládal, Geodesic Attributes Thinnings and Thickenings, Mathematical Morphology and Its Applications to Image and Signal Processing, pp.200-211, 2011.
DOI : 10.1007/978-3-642-21569-8_18
URL : https://hal.archives-ouvertes.fr/hal-00658960

V. Morard, E. Decencì, and P. Dokládal, Region growing structuring elements and new operators based on their shape, 13th IASTED International Conference on Signal and Image Processing Proc. of, pp.1-8, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00834502

J. D. Kurdy and B. , Directional mathematical morphology operations, 5th European Congress For Stereology, 1989.

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

T. Koller, G. Gerig, G. Szekely, and D. Dettwiler, Multiscale detection of curvilinear structures in 2-D and 3-D image data, Proceedings of IEEE International Conference on Computer Vision, pp.864-869, 1995.
DOI : 10.1109/ICCV.1995.466846

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

L. Vincent, Morphological area openings and closings for grey-scale images The Netherlands, Proceedings of NATO Shape in Picture Workshop. Driebergen, pp.197-208, 1994.

E. Breen and R. Jones, Attribute Openings, Thinnings, and Granulometries, Computer Vision and Image Understanding, vol.64, issue.3, pp.377-389, 1996.
DOI : 10.1006/cviu.1996.0066

M. Wilkinson and M. Westenberg, Shape Preserving Filament Enhancement Filtering, Medical Image Computing and Computer-Assisted Intervention?MICCAI 2001, pp.770-777, 2001.
DOI : 10.1007/3-540-45468-3_92

E. Urbach and M. Wilkinson, Shape-only granulometries and grey-scale shape filters, Proc. Int. Symp. Math. Morphology (ISMM), pp.305-314, 2002.

V. Morard, E. Decencì, 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

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

H. Heijmans, M. Buckley, and H. Talbot, Path Openings and Closings, Probability, Networks and Algorithms, no. E 0403, pp.1-21, 2004.
DOI : 10.1007/s10851-005-4885-3
URL : https://hal.archives-ouvertes.fr/hal-00622079

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, Selected Topics in Signal Processing, 2012.
DOI : 10.1109/JSTSP.2012.2213578
URL : https://hal.archives-ouvertes.fr/hal-00798414

J. Serra, Image analysis and mathematical morphology, 1982.

B. Appleton and H. Talbot, Efficient Path Openings and Closings, Mathematical Morphology: 40 Years On, Computational Imaging and Vision, pp.33-42, 2005.
DOI : 10.1007/1-4020-3443-1_4
URL : https://hal.archives-ouvertes.fr/hal-00621982

C. and L. Hendriks, 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

R. Bellman, Dynamic Programming, Science, vol.153, issue.3731, pp.34-37, 1966.
DOI : 10.1126/science.153.3731.34

G. Gallo and S. Pallottino, Shortest path algorithms, Annals of Operations Research, vol.7, issue.1, pp.1-79, 1988.
DOI : 10.1007/BF02288320

M. Buckley and J. Yang, Regularised shortest-path extraction, Pattern Recognition Letters, vol.18, issue.7, pp.621-629, 1997.
DOI : 10.1016/S0167-8655(97)00076-7

L. Vincent, Minimal path algorithms for the robust detection of linear features in gray images, Computational Imaging and Vision, vol.12, pp.331-338, 1998.

G. Matheron, Random sets and integral geometry, 1974.

M. Schmitt, Des algorithmes morphologiquesàmorphologiques`morphologiquesà l'intelligence artificielle, 1989.
URL : https://hal.archives-ouvertes.fr/pastel-00001572

L. Vincent and D. Jeulin, Minimal paths and crack propagation simulations, Acta Stereologica, vol.8, issue.2, pp.487-494, 1989.

M. Van-droogenbroeck and M. Buckley, Morphological Erosions and Openings: Fast Algorithms Based on Anchors, Journal of Mathematical Imaging and Vision, vol.13, issue.6, pp.121-142, 2005.
DOI : 10.1007/s10851-005-4886-2

V. Morard, P. Dokládal, and E. Decencì-ere, Linear openings in arbitrary orientation in O(1) per pixel, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.1457-1460, 2011.
DOI : 10.1109/ICASSP.2011.5946767
URL : https://hal.archives-ouvertes.fr/hal-00658922

V. Morard, P. Dokládal, and E. Decencì-ere, One-dimensional openings, granulometries and component trees in O(1) per pixel, Selected Topics in Signal Processing, pp.1-10, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00879627

P. Karas, V. Morard, J. Bartovsk´ybartovsk´y, T. Grandpierre, E. Dokládalová et al., GPU implementation of linear morphological openings with arbitrary angle, Journal of Real-Time Image Processing, vol.30, issue.2, pp.1-15
DOI : 10.1007/s11554-012-0248-7
URL : https://hal.archives-ouvertes.fr/hal-00680904

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

K. Robinson and P. Whelan, Efficient morphological reconstruction: a downhill filter, Pattern Recognition Letters, vol.25, issue.15, pp.1759-1767, 2004.
DOI : 10.1016/j.patrec.2004.07.002

G. Matheron, Eléments pour une Thèorie des Milieux Poreux, 1967.

S. Cha, Comprehensive Survey on Distance/Similarity Measures between Probability Density Functions, Mathematical Models and Methods in Applied Sciences Intl. journal, vol.1, issue.4, pp.300-307, 2007.

P. Salembier and J. Serra, Flat zones filtering, connected operators, and filters by reconstruction, PLACE PHOTO HERE Vincent Morard Biography text here. PLACE PHOTO HERE Petr Dokládal Biography text here, pp.1153-1160, 1995.
DOI : 10.1109/83.403422