Image segmentation through operators based on topology, Journal of Electronic Imaging, vol.6, issue.4, pp.395-405, 1997. ,
DOI : 10.1117/12.276856
Topology-Preserving Tissue Classification of Magnetic Resonance Brain Images, IEEE Transactions on Medical Imaging, vol.26, issue.4, pp.487-496, 2007. ,
DOI : 10.1109/TMI.2007.893283
Image registration methods: a survey, Image and Vision Computing, vol.21, issue.11, pp.977-1000, 2003. ,
DOI : 10.1016/S0262-8856(03)00137-9
Object tracking, ACM Computing Surveys, vol.38, issue.4, pp.1-45, 2006. ,
DOI : 10.1145/1177352.1177355
Digital Topology in Brain Imaging, IEEE Signal Processing Magazine, vol.27, issue.4, pp.51-59, 2010. ,
DOI : 10.1109/MSP.2010.936729
Advances in mathematical morphology applied to geoscience and remote sensing, IEEE Transactions on Geoscience and Remote Sensing, vol.40, issue.9, pp.2042-2055, 2002. ,
DOI : 10.1109/TGRS.2002.804618
Driving vision by topology, Proceedings of International Symposium on Computer Vision, ISCV, pp.395-400, 1995. ,
DOI : 10.1109/ISCV.1995.477034
URL : https://hal.archives-ouvertes.fr/inria-00074231
Sequential operations in digital picture processing, J ACM, vol.13, issue.4, pp.471-494, 1966. ,
Graphical data processing research study and experimental investigation, 1967. ,
Digital Homeomorphisms in Deformable Registration, IPMI, ser. LNCS, pp.211-222, 2007. ,
DOI : 10.1007/978-3-540-73273-0_18
Topology Preserving Warping of 3-D Binary Images According to Continuous One-to-One Mappings, IEEE Transactions on Image Processing, vol.20, issue.8, pp.2135-2145, 2011. ,
DOI : 10.1109/TIP.2011.2158338
3-D deformable image registration: a topology preservation scheme based on hierarchical deformation models and interval analysis optimization, IEEE Transactions on Image Processing, vol.14, issue.5, pp.553-566, 2005. ,
DOI : 10.1109/TIP.2005.846026
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.127.9352
Combinatorial structure of rigid transformations in 2D digital images, Computer Vision and Image Understanding, vol.117, issue.4, pp.393-408, 2013. ,
DOI : 10.1016/j.cviu.2012.08.014
URL : https://hal.archives-ouvertes.fr/hal-00643734
The Quasi-Shear rotation, DGCI, ser. LNCS, pp.307-314, 1996. ,
DOI : 10.1007/3-540-62005-2_26
Understanding discrete rotations, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, pp.2057-2060, 1997. ,
DOI : 10.1109/ICASSP.1997.599351
URL : http://cam.cornell.edu/richman/ic97paper.ps.Z
Incremental and Transitive Discrete Rotations, IWCIA, ser. LNCS, pp.199-213, 2006. ,
DOI : 10.1007/11774938_16
URL : https://hal.archives-ouvertes.fr/hal-00016037
Computing upper and lower bounds of rotation angles from digital images, Pattern Recognition, vol.42, issue.8, pp.1708-1717, 2009. ,
DOI : 10.1016/j.patcog.2008.12.027
URL : https://hal.archives-ouvertes.fr/hal-00622416
Configurations induced by discrete rotations: periodicity and quasi-periodicity properties, Discrete Applied Mathematics, vol.147, issue.2-3, pp.3-325, 2005. ,
DOI : 10.1016/j.dam.2004.09.018
Sufficient conditions for topological invariance of 2D digital images under rigid transformations, DGCI, ser. LNCS, pp.155-168, 2013. ,
Well-composed images and rigid transformations, 2013 IEEE International Conference on Image Processing, pp.3035-3039, 2013. ,
DOI : 10.1109/ICIP.2013.6738625
URL : https://hal.archives-ouvertes.fr/hal-00779262
Digital topology: Introduction and survey, Computer Vision, Graphics, and Image Processing, vol.48, issue.3, pp.357-393, 1989. ,
DOI : 10.1016/0734-189X(89)90147-3
Digital Imaging: A Unified Topological Framework, Journal of Mathematical Imaging and Vision, vol.32, issue.9, pp.19-37, 2012. ,
DOI : 10.1007/s10851-011-0308-9
URL : https://hal.archives-ouvertes.fr/hal-00622529
Topological structures in computer science, Journal of Applied Mathematics and Simulation, vol.1, issue.1, pp.25-40, 1987. ,
DOI : 10.1155/S1048953388000036
Finite topology as applied to image analysis, Computer Vision, Graphics, and Image Processing, vol.46, issue.2, pp.141-161, 1989. ,
DOI : 10.1016/0734-189X(89)90165-5
Paths, Homotopy and Reduction in Digital Images, Acta Applicandae Mathematicae, vol.55, issue.1, pp.167-193, 2011. ,
DOI : 10.1007/s10440-010-9591-5
URL : https://hal.archives-ouvertes.fr/hal-00622495
Digital Topology, The American Mathematical Monthly, vol.86, issue.8, pp.621-630, 1979. ,
DOI : 10.2307/2321290
Well-Composed Sets, Computer Vision and Image Understanding, vol.61, issue.1, pp.70-83, 1995. ,
DOI : 10.1006/cviu.1995.1006
A digital fundamental group, Computers & Graphics, vol.13, issue.2, pp.159-166, 1989. ,
DOI : 10.1016/0097-8493(89)90058-7
A topological characterization of thinning, Theoretical Computer Science, vol.43, issue.1, pp.31-41, 2007. ,
DOI : 10.1016/0304-3975(86)90164-7
A new characterization of three-dimensional simple points, Pattern Recognition Letters, vol.15, issue.2, pp.169-175, 1994. ,
DOI : 10.1016/0167-8655(94)90046-9
URL : https://hal.archives-ouvertes.fr/inria-00615050
On P-simple points, CR Acad Sci I-Math, vol.I, issue.321, pp.1077-1084, 1995. ,
URL : https://hal.archives-ouvertes.fr/hal-00621996
An introduction to simple sets, Pattern Recognition Letters, vol.30, issue.15, pp.1366-1377, 2009. ,
DOI : 10.1016/j.patrec.2009.07.008
Adjacency in digital pictures, Information and Control, vol.26, issue.1, pp.24-33, 1974. ,
DOI : 10.1016/S0019-9958(74)90696-2
A note on 3-D simple points and simple-equivalence, Information Processing Letters, vol.109, issue.13, pp.700-704, 2009. ,
DOI : 10.1016/j.ipl.2009.03.002
URL : https://hal.archives-ouvertes.fr/hal-00622395
Topology-Preserving Deformations of Two-Valued Digital Pictures, Graphical Models and Image Processing, vol.60, issue.1, pp.24-34, 1998. ,
DOI : 10.1006/gmip.1997.0459
Thinning grayscale well-composed images, Pattern Recognition Letters, vol.25, issue.5, pp.581-590, 2004. ,
DOI : 10.1016/j.patrec.2003.12.005
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
Connected operators, IEEE Signal Processing Magazine, vol.26, issue.6, pp.136-157, 2009. ,
DOI : 10.1109/MSP.2009.934154
Multicolor well-composed pictures, Pattern Recognition Letters, vol.16, issue.4, pp.425-431, 1995. ,
DOI : 10.1016/0167-8655(94)00104-B
A cellular model for multi-objects multi-dimensional homotopic deformations, Pattern Recognition, vol.34, issue.9, pp.1785-1798, 2001. ,
DOI : 10.1016/S0031-3203(00)00106-0
Fully deformable 3D digital partition model with topological control, Pattern Recognition Letters, vol.32, issue.9, pp.1374-1383, 2011. ,
DOI : 10.1016/j.patrec.2010.09.005
URL : https://hal.archives-ouvertes.fr/hal-00591065
A Framework for Label Images, CTIC, ser. LNCS, pp.1-12, 2012. ,
DOI : 10.1007/978-3-642-30238-1_1
URL : https://hal.archives-ouvertes.fr/hal-00962186
Thinning algorithms: A critique and a new methodology, Pattern Recognition, vol.14, issue.1-6, pp.53-63, 1981. ,
DOI : 10.1016/0031-3203(81)90045-5
From 3D magnetic resonance images to structural representations of the cortex topography using topology preserving deformations, Journal of Mathematical Imaging and Vision, vol.44, issue.6, pp.297-318, 1995. ,
DOI : 10.1007/BF01250286
A topology preserving level set method for geometric deformable models, IEEE T Pattern Anal, vol.25, issue.6, pp.755-768, 2003. ,
New Characterizations of Simple Points in 2D, 3D, and 4D Discrete Spaces, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.31, issue.4, pp.637-648, 2009. ,
DOI : 10.1109/TPAMI.2008.117
URL : https://hal.archives-ouvertes.fr/hal-00622393
Topological operators for grayscale image processing, Journal of Electronic Imaging, vol.10, issue.4, pp.1003-1015, 2001. ,
DOI : 10.1117/1.1408316
URL : https://hal.archives-ouvertes.fr/hal-00622474
Topological Repairing of 3D Digital Images, Journal of Mathematical Imaging and Vision, vol.17, issue.3, pp.249-274, 2008. ,
DOI : 10.1007/s10851-007-0054-1
Ridge-Based Vessel Segmentation in Color Images of the Retina, IEEE Transactions on Medical Imaging, vol.23, issue.4, pp.501-509, 2004. ,
DOI : 10.1109/TMI.2004.825627
Extraction of complex patterns from multiresolution remote sensing images: A hierarchical top-down methodology, Pattern Recognition, vol.45, issue.2, pp.685-706, 2012. ,
DOI : 10.1016/j.patcog.2011.07.017
Qualitative Spatial Reasoning for High-Resolution Remote Sensing Image Analysis, IEEE Transactions on Geoscience and Remote Sensing, vol.47, issue.2, pp.599-612, 2009. ,
DOI : 10.1109/TGRS.2008.2003435
URL : https://hal.archives-ouvertes.fr/hal-00594525
Morphological image compositing, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.28, issue.5, pp.673-683, 2006. ,
DOI : 10.1109/TPAMI.2006.99
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.468.4436
Digitizations Preserving Topological and Differential Geometric Properties, Computer Vision and Image Understanding, vol.62, issue.3, pp.370-381, 1995. ,
DOI : 10.1006/cviu.1995.1061
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.51.8473
Preserving topology by a digitization process, Journal of Mathematical Imaging and Vision, vol.8, issue.2, pp.131-159, 1998. ,
DOI : 10.1023/A:1008273227913
3D Well-Composed Pictures, Graphical Models and Image Processing, vol.59, issue.3, pp.164-172, 1997. ,
DOI : 10.1006/gmip.1997.0422
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.304.9284
Set-theoretical algebraic approaches to connectivity in continuous or digital spaces, Journal of Mathematical Imaging and Vision, vol.8, issue.1, pp.41-58, 1998. ,
DOI : 10.1023/A:1008210216583
Connectivity on Complete Lattices, J Math Imaging Vis, vol.9, issue.3, pp.231-251, 1998. ,
DOI : 10.1007/978-1-4613-0469-2_11
A theoretical tour of connectivity in image processing and analysis, Journal of Mathematical Imaging and Vision, vol.19, issue.1, pp.5-31, 2003. ,
DOI : 10.1023/A:1024476403183
degrees in information and computer sciences from Chiba University, Japan, in 1993, 1995, and 1998, respectively. She joined Japan Advanced Institute of Science and Technology as a research associate in 1998, she has been a CNRS research associate at Laboratoire d'Informatique Gaspard-Monge Est, and a member of the research group A3SI. Her research interests include discrete geometry for computer imagery, 2003. ,