C. Berger, T. Géraud, R. Levillain, N. Widynski, A. Baillard et al., Effective Component Tree Computation with Application to Pattern Recognition in Astronomical Imaging, 2007 IEEE International Conference on Image Processing, pp.41-44, 2007.
DOI : 10.1109/ICIP.2007.4379949

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

F. Cao, P. Musé, and F. Sur, Extracting meaningful curves from images, pp.159-181, 2005.
DOI : 10.1007/s10851-005-4888-0

URL : https://hal.archives-ouvertes.fr/inria-00104264

E. Carlinet and T. Géraud, A Comparative Review of Component Tree Computation Algorithms, IEEE Transactions on Image Processing, vol.23, issue.9, pp.3885-3895, 2014.
DOI : 10.1109/TIP.2014.2336551

URL : https://hal.archives-ouvertes.fr/hal-01474830

E. Carlinet and T. Géraud, A Color Tree of Shapes with Illustrations on Filtering, Simplification, and Segmentation, 2015.
DOI : 10.1007/978-3-319-18720-4_31

URL : https://hal.archives-ouvertes.fr/hal-01476208

V. Caselles and P. Monasse, Geometric Description of Images as Topographic Maps, 2009.
DOI : 10.1007/978-3-642-04611-7

URL : https://hal.archives-ouvertes.fr/hal-00654314

A. Desolneux, L. Moisan, and J. Morel, Edge detection by helmholtz principle, pp.271-284, 2001.
URL : https://hal.archives-ouvertes.fr/hal-00170793

T. Géraud, E. Carlinet, S. Crozet, and L. Najman, A Quasi-linear Algorithm to Compute the Tree of Shapes of nD Images, In: ISMM. pp, pp.98-110, 2013.
DOI : 10.1007/978-3-642-38294-9_9

P. Monasse and F. Guichard, Fast computation of a contrast-invariant image representation, IEEE Transactions on Image Processing, vol.9, issue.5, pp.860-872, 2000.
DOI : 10.1109/83.841532

L. Najman and M. Couprie, Building the Component Tree in Quasi-Linear Time, IEEE Transactions on Image Processing, vol.15, issue.11, pp.3531-3539, 2006.
DOI : 10.1109/TIP.2006.877518

URL : https://hal.archives-ouvertes.fr/hal-00622110

D. Nistér and H. Stewénius, Linear Time Maximally Stable Extremal Regions, pp.183-196, 2008.
DOI : 10.1007/978-3-540-88688-4_14

G. K. Ouzounis and M. H. Wilkinson, A parallel implementation of the dual-input max-tree algorithm for attribute filtering, In: ISMM. pp, pp.449-460, 2007.

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

P. Salembier and M. H. Wilkinson, Connected operators, IEEE Signal Processing Magazine, vol.26, issue.6, pp.136-157, 2009.
DOI : 10.1109/MSP.2009.934154

Y. Song, A Topdown Algorithm for Computation of Level Line Trees, IEEE Transactions on Image Processing, vol.16, issue.8, pp.2107-2116, 2007.
DOI : 10.1109/TIP.2007.899616

C. Vachier and F. Meyer, Extinction values: A new measurement of persistence, IEEE Workshop on Non Linear Signal/Image Processing pp, pp.254-257, 1995.

M. A. Westenberg, J. B. Roerdink, and M. H. Wilkinson, Volumetric Attribute Filtering and Interactive Visualization Using the Max-Tree Representation, IEEE Transactions on Image Processing, vol.16, issue.12, pp.2943-2952, 2007.
DOI : 10.1109/TIP.2007.909317

M. H. Wilkinson, A fast component-tree algorithm for high dynamic-range images and second generation connectivity, 2011 18th IEEE International Conference on Image Processing, pp.1021-1024, 2011.
DOI : 10.1109/ICIP.2011.6115597

M. H. Wilkinson, H. Gao, W. H. Hesselink, J. E. Jonker, and A. Meijster, Concurrent Computation of Attribute Filters on Shared Memory Parallel Machines, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.30, issue.10, pp.1800-1813, 2008.
DOI : 10.1109/TPAMI.2007.70836

Y. Xu, Tree-based shape spaces: Definition and applications in image processing and computer vision, 2013.
URL : https://hal.archives-ouvertes.fr/tel-00965890

Y. Xu, T. Géraud, and L. Najman, Context-based energy estimator: Application to object segmentation on the tree of shapes, 2012 19th IEEE International Conference on Image Processing, pp.1577-1580, 2012.
DOI : 10.1109/ICIP.2012.6467175

URL : https://hal.archives-ouvertes.fr/hal-00762289

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

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

Y. Xu, T. Géraud, and L. Najman, Morphological Filtering in Shape Spaces: Applications using Tree-Based Image Representations, pp.485-488, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00714847