Globally minimal surfaces by continuous maximal flows, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.28, issue.1, pp.106-118, 2006. ,
DOI : 10.1109/TPAMI.2006.12
URL : https://hal.archives-ouvertes.fr/hal-00621983
Plane curves, their invariants, perestroikas and classification, Advances in Soviet Mathematics: Singularities and Bifurcations, pp.33-91, 1994. ,
Interactive level set segmentation for image-guided therapy, 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, pp.1079-1082, 2009. ,
DOI : 10.1109/ISBI.2009.5193243
Fast Object Segmentation by Growing Minimal Paths from??a??Single Point on 2D or 3D Images, Journal of Mathematical Imaging and Vision, vol.16, issue.1, pp.209-221, 2009. ,
DOI : 10.1007/s10851-008-0131-0
URL : https://hal.archives-ouvertes.fr/hal-00691876
Graph Cuts and Efficient N-D Image Segmentation, International Journal of Computer Vision, vol.18, issue.9, pp.109-131, 2006. ,
DOI : 10.1007/s11263-006-7934-5
Fast Global Minimization of the Active Contour/Snake Model, Journal of Mathematical Imaging and Vision, vol.7, issue.3, pp.151-167, 2007. ,
DOI : 10.1007/s10851-007-0002-0
On Local Region Models and a Statistical Interpretation of??the??Piecewise Smooth Mumford-Shah Functional, International Journal of Computer Vision, vol.18, issue.9, pp.184-193, 2009. ,
DOI : 10.1007/s11263-008-0153-5
Geodesic active contours, Proceedings of IEEE International Conference on Computer Vision, pp.61-79, 1997. ,
DOI : 10.1109/ICCV.1995.466871
Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models, SIAM Journal on Applied Mathematics, vol.66, issue.5, pp.1632-1648, 2006. ,
DOI : 10.1137/040615286
Active contours without edges, IEEE Transactions on Image Processing, vol.10, issue.2, pp.266-277, 2001. ,
DOI : 10.1109/83.902291
Global minimum for active contour models: a minimal path approach, Proceedings CVPR IEEE Computer Society Conference on Computer Vision and Pattern Recognition, pp.57-78, 1997. ,
DOI : 10.1109/CVPR.1996.517144
user's guide to viscosity solutions\\ of second order\\ partial
differential equations, Bulletin of the American Mathematical Society, vol.27, issue.1, pp.1-67, 1992. ,
DOI : 10.1090/S0273-0979-1992-00266-5
A probabilistic level set formulation for interactive organ segmentation, Medical Imaging 2007: Image Processing, 2007. ,
DOI : 10.1117/12.708609
Finding the k Shortest Paths, SIAM Journal on Computing, vol.28, issue.2, pp.652-673, 1998. ,
DOI : 10.1137/S0097539795290477
The image foresting transform: theory, algorithms, and applications, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.26, issue.1, pp.19-29, 2004. ,
DOI : 10.1109/TPAMI.2004.1261076
An ultra-fast user-steered image segmentation paradigm: live wire on the fly, IEEE Transactions on Medical Imaging, vol.19, issue.1, pp.55-62, 2000. ,
DOI : 10.1109/42.832960
A 3D interactive multi-object segmentation tool using local robust statistics driven active contours, Medical Image Analysis, vol.16, issue.6, pp.1216-1227, 2012. ,
DOI : 10.1016/j.media.2012.06.002
Real-Time Interactive Path Extraction with On-the-Fly Adaptation of the External Forces, European Conference on Computer Vision (ECCV), pp.807-821, 2002. ,
DOI : 10.1007/3-540-47977-5_53
Random Walks for Image Segmentation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.28, issue.11, pp.1768-1783, 2006. ,
DOI : 10.1109/TPAMI.2006.233
Active region models for segmenting textures and colours, Image and Vision Computing, vol.13, issue.5, pp.431-438, 1995. ,
DOI : 10.1016/0262-8856(95)99730-O
Interactive Medical Image Segmentation Using PDE Control of Active Contours, IEEE Transactions on Medical Imaging, vol.32, issue.11, pp.2127-2139, 2013. ,
DOI : 10.1109/TMI.2013.2274734
Snakes: Active contour models, International Journal of Computer Vision, vol.5, issue.6035, pp.321-331, 1988. ,
DOI : 10.1007/BF00133570
Detecting Curves with Unknown Endpoints and Arbitrary Topology Using Minimal Paths, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.34, issue.10, pp.1952-1965, 2012. ,
DOI : 10.1109/TPAMI.2011.267
A nonparametric statistical method for image segmentation using information theory and curve evolution, IEEE Transactions on Image Processing, vol.14, issue.10, pp.1486-1502, 2005. ,
Localizing Region-Based Active Contours, IEEE Transactions on Image Processing, vol.17, issue.11, pp.2029-2039, 2008. ,
DOI : 10.1109/TIP.2008.2004611
Lazy snapping, Proceedings of ACM SIGGRAPH, pp.303-308, 2004. ,
DOI : 10.1145/1015706.1015719
Shape modeling with front propagation: a level set approach, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.17, issue.2, pp.158-175, 1995. ,
DOI : 10.1109/34.368173
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.131.6656
Image Segmentation Using Active Contours Driven by the Bhattacharyya Gradient Flow, IEEE Transactions on Image Processing, vol.16, issue.11, pp.2787-2801, 2007. ,
DOI : 10.1109/TIP.2007.908073
Minimally overlapping paths sets for closed contour extraction, International Conference on Computer Vision Theory and Applications (VISAPP), 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00707333
Combination of paths for interactive segmentation, Procedings of the British Machine Vision Conference 2013 ,
DOI : 10.5244/C.27.133
URL : https://hal.archives-ouvertes.fr/hal-00906304
Geodesically Linked Active Contours: Evolution Strategy Based on Minimal Paths, 2 nd International Conference on Scale Space and Variational Methods in Computer Vision (SSVM), pp.163-174, 2009. ,
DOI : 10.1016/0167-8396(90)90023-K
URL : https://hal.archives-ouvertes.fr/hal-00691910
Riverbed: A Novel User-Steered Image Segmentation Method Based on Optimum Boundary Tracking, IEEE Transactions on Image Processing, vol.21, issue.6, pp.3042-3052, 2012. ,
DOI : 10.1109/TIP.2012.2188034
Interactive Segmentation with Intelligent Scissors, Graphical Models and Image Processing, vol.60, issue.5, pp.349-384, 1998. ,
DOI : 10.1006/gmip.1998.0480
Optimal approximations by piecewise smooth functions and associated variational problems, Communications on Pure and Applied Mathematics, vol.3, issue.5, pp.577-685, 1989. ,
DOI : 10.1002/cpa.3160420503
Geodesic active regions and level set methods for supervised texture segmentation, International Journal of Computer Vision, vol.46, issue.3, pp.223-247, 2002. ,
DOI : 10.1023/A:1014080923068
"GrabCut", ACM Transactions on Graphics, vol.23, issue.3, pp.309-314, 2004. ,
DOI : 10.1145/1015706.1015720
Integrated active contours for texture segmentation, IEEE Transactions on Image Processing, vol.15, issue.6, pp.1633-1646, 2006. ,
DOI : 10.1109/TIP.2006.871133
A fast marching level set method for monotonically advancing fronts., Proceedings of the National Academy of Science, pp.1591-1595, 1996. ,
DOI : 10.1073/pnas.93.4.1591
Level Sets Methods and Fast Marching Methods, 1999. ,
Efficient algorithms for globally optimal trajectories, IEEE Transactions on Automatic Control, vol.40, issue.9, pp.1528-1538, 1995. ,
DOI : 10.1109/9.412624
Information-Theoretic Active Polygons for Unsupervised Texture Segmentation, International Journal of Computer Vision, vol.27, issue.2, pp.199-220, 2005. ,
DOI : 10.1007/s11263-005-4880-6
Graph cut based image segmentation with connectivity priors, 2008 IEEE Conference on Computer Vision and Pattern Recognition, 2008. ,
DOI : 10.1109/CVPR.2008.4587440
On regular closed curves in the plane, Compositio Mathematica, vol.4, pp.276-284, 1937. ,
DOI : 10.1007/978-1-4612-2974-2_3
Shortest Loopless Paths in a Network, Management Science, vol.17, issue.11, pp.712-716, 1971. ,
DOI : 10.1287/mnsc.17.11.712