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Christophe Lohou, Julien Dehos, "Automatic Correction of Ma and Sonka's Thinning Algorithm Using PSimple Points," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 32, no. 6, pp. 11481152, June, 2010.  
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@article{ 10.1109/TPAMI.2010.27, author = {Christophe Lohou and Julien Dehos}, title = {Automatic Correction of Ma and Sonka's Thinning Algorithm Using PSimple Points}, journal ={IEEE Transactions on Pattern Analysis and Machine Intelligence}, volume = {32}, number = {6}, issn = {01628828}, year = {2010}, pages = {11481152}, doi = {http://doi.ieeecomputersociety.org/10.1109/TPAMI.2010.27}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  JOUR JO  IEEE Transactions on Pattern Analysis and Machine Intelligence TI  Automatic Correction of Ma and Sonka's Thinning Algorithm Using PSimple Points IS  6 SN  01628828 SP1148 EP1152 EPD  11481152 A1  Christophe Lohou, A1  Julien Dehos, PY  2010 KW  3D thinning algorithm KW  curve skeleton KW  digital topology KW  topology preservation. VL  32 JA  IEEE Transactions on Pattern Analysis and Machine Intelligence ER   
[1] V. Sauret, K. Goatman, J. Fleming, and A. Bailey, "SemiAutomated Tabulation of the 3D Topology and Morphology of Branching Networks Using CT: Application to the Airway Tree," Physics in Medicine and Biology, vol. 44, no. 7, pp. 16251638, 1999.
[2] C. Ma, "A 3D Fully Parallel Thinning Algorithm for Generating Medial Faces," Pattern Recognition Letters, vol. 16, pp. 8387, 1995.
[3] C. Ma and M. Sonka, "A Fully Parallel 3D Thinning Algorithm and Its Applications," Computer Vision and Image Understanding, vol. 64, no. 3, pp. 420433, Nov. 1996.
[4] K. Palágyi and A. Kuba, "A 3D 6Subiteration Thinning Algorithm for Extracting Medial Lines," Pattern Recognition Letters, vol. 19, no. 7, pp. 613627, 1998.
[5] K. Palágyi and A. Kuba, "A Hybrid Thinning Algorithm for 3D Medical Images," J. Computing and Information Technology, vol. 6, no. 2, pp. 149164, 1998.
[6] K. Palágyi and A. Kuba, "A Parallel 3D 12Subiteration Thinning Algorithm," Graphical Models and Image Processing, vol. 61, pp. 199221, 1999.
[7] A. Manzanera, T. Bernard, F. Preteux, and B. Longuet, "A Unified Mathematical Framework for a Compact and Fully Parallel $n$ D Skeletonization Procedure," Proc. Conf. Vision Geometry VIII, vol. 3811, pp. 5768, 1999.
[8] C. Lohou and G. Bertrand, "A 3D 12Subiteration Thinning Algorithm Based on $P$ Simple Points," Discrete Applied Math., vol. 139, pp. 171195, 2004.
[9] C. Lohou and G. Bertrand, "A 3D 6Subiteration Curve Thinning Algorithm Based on $P$ Simple Points," Discrete Applied Math., vol. 151, pp. 198228, 2005.
[10] C. Lohou and G. Bertrand, "Two Symmetrical Thinning Algorithms for 3D Binary Images, Based on $P$ Simple Points," Pattern Recognition, vol. 40, pp. 23012314, 2007.
[11] T. Wang and A. Basu, "A Note on 'a Fully Parallel 3D Thinning Algorithm and Its Applications'," Pattern Recognition Letters, vol. 28, no. 4, pp. 501506, 2007.
[12] J. Burguet and R. Malgouyres, "Strong Thinning and Polyhedric Approximation of the Surface of a Voxel Object," Discrete Applied Math., vol. 125, no. 1, pp. 93114, 2003.
[13] C. Pudney, "DistanceOrdered Homotopic Thinning: A Skeletonization Algorithm for 3D Digital Images," Computer Vision and Image Understanding, vol. 72, no. 3, pp. 404413, 1998.
[14] G. Borgefors, I. Nyström, and G.S.D. Baja, "Computing Skeletons in Three Dimensions," Pattern Recognition, vol. 32, pp. 12251236, 1999.
[15] S. Svensson, I. Nyström, and G.S. di Baja, "Curve Skeletonization of SurfaceLike Objects in 3D Images Guided by Voxel Classification," Pattern Recognition Letters, vol. 23, pp. 14191426, 2002.
[16] M. de Berg, O. Cheong, M. van Kreveld, and M. Overmars, Computational Geometry—Algorithms and Applications. Springer Verlag, 2008.
[17] J. Serra, Image Analysis and Mathematical Morphology. Academic Press, 1982.
[18] V. Kovalevsky, "Finite Topology as Applied to Image Analysis," Computer Vision, Graphics, and Image Processing, vol. 46, pp. 141161, 1989.
[19] P.R. Rocío GonzálezDíaz, "On the Cohomology of 3D Digital Images," Discrete Applied Math., vol. 147, pp. 245263, 2005.
[20] G. Bertrand and M. Couprie, "TwoDimensional Thinning Algorithms Based on Critical Kernels," J. Math. Imaging and Vision, vol. 31, no. 1, pp. 3556, 2008.
[21] T. Kong and A. Rosenfeld, "Digital Topology: Introduction and Survey," Computer Vision, Graphics, and Image Processing, vol. 48, pp. 357393, 1989.
[22] Y. Tsao and K. Fu, "A Parallel Thinning Algorithm for 3D Pictures," Computer Graphics and Image Processing, vol. 17, pp. 315331, 1981.
[23] W. Gong and G. Bertrand, "A Simple Parallel 3D Thinning Algorithm," Proc. Int'l Conf. Pattern Recognition, pp. 188190, 1990.
[24] F. Rolland, J.M. Chassery, and A. Montanvert, "3D Medial Surfaces and 3D Skeletons," Proc. Int'l Workshop Visual Form, pp. 443450, 1991.
[25] G. Bertrand and Z. Aktouf, "A ThreeDimensional Thinning Algorithm Using Subfields," Proc. Conf. Vision Geometry III, vol. 2356, pp. 113124, 1994.
[26] C. Ma, S. Wan, and J. Lee, "ThreeDimensional Topology Preserving Reduction on The 4Subfields," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 24, no. 12, Dec. 2002.
[27] G. Bertrand, "On $P$ Simple Points," Comptesrendus de l'Académie des Sciences, vol. 321, no. 8, pp. 10771084, 1995.
[28] G. Bertrand, "$P$ Simple Points: A Solution for Parallel Thinning," Proc. Int'l Conf. Discrete Geometry for Computer Imagery, pp. 233242, 1995.
[29] R. Malgouyres and S. Fourey, "Strong Surfaces, Surface Skeletons and Image Superposition," Proc. Conf. Vision Geometry VII, vol. 3454, pp. 1627, 1998.
[30] C. Lohou, "Contribution à l'analyse Topologique Des Images: Étude d'Algorithmes de Squelettisation pour Images 2D et 3D selon une Approche Topologie Digitale ou Topologie Discrète," PhD dissertation, Université de Marnela Vallée, 2001.
[31] A. Chaturvedi and Z. Lee, "ThreeDimensional Segmentation and Skeletonization to Build an Airway Tree Data Structure for Small Animals," Physics in Medicine and Biology, vol. 50, no. 7, pp. 14051419, 2005.
[32] T. Wang and A. Basu, "A Note on Fully Parallel 3D Thinning Algorithm and Its Applications," Pattern Recognition Letters, vol. 28, pp. 501506, 2007.
[33] C. Ma, "On Topology Preservation in 3D Thinning," Computer Vision, Graphics, and Image Processing: Image Understanding, vol. 59, no. 3, pp. 328339, 1994.
[34] T. Kong, "A Digital Fundamental Group," Computer and Graphics, vol. 13, no. 2, pp. 159166, 1989.
[35] G. Bertrand, "Simple Points, Topological Numbers and Geodesic Neighborhoods in Cubic Grids," Pattern Recognition Letters, vol. 15, pp. 10031011, 1994.
[36] G. Bertrand and G. Malandain, "A New Characterization of ThreeDimensional Simple Points," Pattern Recognition Letters, vol. 15, pp. 169175, 1994.
[37] G. Bertrand, "Sufficient Conditions for 3D Parallel Thinning Algorithms," Proc. Conf. Vision Geometry IV, vol. 2573, pp. 5260, 1995.
[38] J. Dehos and C. Lohou, "Analysis of Algorithms Derived from Ma and Sonka's Thinning Algorithm," in preparation.