Curve/surface representation and evolution using vector level sets with application to the shape-based segmentation problem

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn 29, Issue 6, 2007, Pages 945-958

  Abd El Munim, Hossam E ^a   Farag, Aly A ^a  

^a UNIVERSITY OF LOUISVILLE   (United States)

Author keywords

Deformable models; Level sets; Shape representation; Shape based segmentation

Indexed keywords

COMPUTATIONAL EFFICIENCY; COMPUTER SIMULATION; IMAGE REGISTRATION; PARTIAL DIFFERENTIAL EQUATIONS; VECTOR QUANTIZATION;

PARAMETRIC SHAPE MODEL; SHAPE REPRESENTATION; SHAPE-BASED SEGMENTATION; VECTOR LEVEL SET FUNCTION;

IMAGE SEGMENTATION;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; CLUSTER ANALYSIS; COMPUTER ASSISTED DIAGNOSIS; EVALUATION; IMAGE ENHANCEMENT; INFORMATION RETRIEVAL; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; THREE DIMENSIONAL IMAGING;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; CLUSTER ANALYSIS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; INFORMATION STORAGE AND RETRIEVAL; PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 34247601654     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPAMI.2007.1100     Document Type: Article

References (37)

1. H.E. Abd El Munim and A.A. Farag, "A Shape-Based Segmentation Approach: An Improved Technique Using Level Sets," Proc. 10th IEEE Int'l Conf. Computer Vision, pp. 930-935, Oct. 2005.
2. G. Sapiro, Geometric Partial Differential Equations and Image Analysis. Cambridge Univ. Press, 2001.
3. R. Goldenberg, R. Kimmel, E. Rivlin, and M. Rudzsky, "Cortex Segmentation: A Fast Variational Geometric Approach," IEEE Trans. Medical Imaging, vol. 21, no. 2, pp. 1544-1551, Dec. 2002.
4. M. Kass, A. Witkin, and D. Terzopoulos, "Snakes: Active Contour Models," Int'l J. Computer Vision, vol. 1, pp. 321-331, 1987.
5. A. Blake and A. Zisserman, Visual Reconstruction. MIT Press, 1987.
6. S. Osher and J. Sethian, "Fronts Propagating with Curvature-Dependent Speed: Algorithms Based on the Hamilton-Jacobi Formulation," J. Computational Physics, vol. 79, pp. 12-49, 1988.
7. R. Malladi, J.A. Sethian, and B.C. Vemuri, "Evolutionary Fronts for Topology Independent Shape Modeling and Recovery," Proc. Third European Conf. Computer Vision, J.-O. Eklundh, ed., May 1994.
8. J.A. Sethian, "A Fast Marching Level Set Method for Monotonically Advancing Fronts," Proc. Nat'l Academy of Sciences USA, vol. 93, pp. 1591-1694, 1996.
9. M. Sussman, P. Smereka, and S. Osher, "A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow," J. Computational Physics, vol. 114, pp. 146-159, 1994.
10. J. Gomes and O. Faugeras, "Representing and Evolving Smooth Manifolds of Arbitrary Dimension Embedded in Rn as the Intersection of n Hypersurfaces: The Vector Distance Functions," Research Report 4011, INRIA, Oct. 2000.
11. J. Gomes and O. Faugeras, "The Vector Distance Functions," Int'l J. Computer Vision, vol. 52, no. 2-3, pp. 161-187, 2003.
12. J. Yang and J. Duncan, "3D Image Segmentation of Deformable Objects with Joint Shape-Intensity Prior Models Using Level Sets," Medical Image Analysis, vol. 8, no. 3, pp. 285-294, Sept. 2004.
13. M. Rousson, N. Paragios, and R. Deriche, "Implicit Active Shape Models for 3D Segmentation in MRI Imaging," Proc. Seventh Int'l Conf. Medical Image Computing and Computer-Assisted Intervention, Part 1, pp. 209-216, Sept. 2004.
14. C. Li, C. Xu, C. Gui, and M.D. Fox, "Level Set Evolution without Re-Initialization: A New Variational Formulation," Proc. IEEE CS Conf. Computer Vision and Pattern Recognition, vol. 1, pp. 430-436, June 2005.
15. T. Chan and L. Vese, "A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model," Int'l J. Computer Vision, vol. 50, no. 3, pp. 271-293, 2002.
16. X. Huang, D. Metaxas, and T. Chen, "MetaMorphs: Deformable Shape and Texture Models," Proc. IEEE CS Conf. Computer Vision and Pattern Recognition, pp. 496-503, June 2004.
17. A. Tsai, W. Wells, C. Tempany, E. Grimson, and A. Willsky, "Mutual Information in Coupled Multi-Shape Model for Medical Image Segmentation," Medical Image Analysis, vol. 8, pp. 429-445, Dec. 2004.
18. T. Riklin-Raviv1, N. Kiryati, and N. Sochen, "Unlevel-Sets: Geometry and Prior-Based Segmentation," Proc. Eighth European Conf. Computer Vision, pp. 50-61, 2004.
19. D. Cremers and S. Soatto, "A Pseudo-Distance for Shape Priors in Level Set Segmentation," Proc. Second IEEE Workshop Variational, Geometric, and Level Set Methods in Computer Vision, pp. 169-176, 2003.
20. D. Cremers, T. Kohlberger, and C. Schnorr, "Shape Statistics in Kernel Space for Variational Image Segmentation," Pattern Recognition, vol. 36, no. 9, pp. 1929-1943, 2003.
21. Y. Chen, H.D. Tagare, S. Thiruvenkadam, F. Huang, D. Wilson, K.S. Gopinath, R.W. Briggs, and E.A. Geiser, "Using Prior Shapes in Geometric Active Contours in a Variational Framework," Int'l J. Computer Vision, vol. 50, no. 3, pp. 315-328, Dec. 2002.
22. N. Paragios, M. Rousson, and V. Ramesh, "Matching Distance Functions: A Shape-to-Area Variational Approach for Global-to-Local Registration," Proc. Seventh European Conf. Computer Vision, June 2002.
23. P. Besl and N. Mckay, "A Method for Registration of 3-D Shapes," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 14, no. 2, pp. 239-256, Feb. 1992.
24. I. Cohen and I. Herlin, "Curve Matching Using Geodesic Paths," Proc. IEEE CS Conf. Computer Vision and Pattern Recognition, pp. 741-746, 1998.
25. A. Fitzgibbon, "Robust Registration of 2D and 3D Points Sets," Proc. British Machine Vision Conf., vol. 2, pp. 411-420, 2001.
26. D. Kozinska, O. Tretika, J. Nissanov, and C. Ozturk, "Multidimensional Alignment Using the Euclidean Distance Transform," Graphical Models and Image Processing, vol. 6, pp. 373-385, 1997.
27. X. Huang, N. Paragios, and D. Metaxas, "Establishing Local Correspondences toward Compact Representations of Anatomical Structures," Proc. Int'l Conf. Medical Image Computing and Computer-Assisted Intervention, pp. 926-934, 2003.
28. X. Huang, N. Paragios, and D. Metaxas, "Shape Registration in Implicit Spaces Using Information Theory and Free Form Deformations," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 28, no. 8, pp. 1303-1318, Aug. 2006.
29. A. Johnson and M. Hebert, "Recognizing Objects by Matching Oriented Points," Proc. IEEE CS Conf. Computer Vision and Pattern Recognition pp. 684-689, 1997.
30. J. Gomes and O. Faugeras, "Reconciling Distance Functions and Level-Sets," Technical Report 3666, INRIA, Apr. 1999.
31. N. Paragios and R. Deriche, "Unifying Boundary and Region-Based Information for Geodesic Active Tracking," Proc. IEEE CS Conf. Computer Vision and Pattern Recognition, vol. 2, pp. 300-305, June 1999.
32. S. Osher and N. Paragios, Geometric Level Set Methods in Imaging, Vision, and Graphics. Springer, 2003.
33. Y.C. Evans and J. Spruck, "Motion of Level Sets by Mean Curvature," Int'l J. Differential Geometry, vol. 33, pp. 635-681, 1991.
34. S.C. Zhu and A. Yuille, "Region Competition: Unifying Snakes, Region Growing, and Bayes/MDL for Multiband Image Segmentation," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 18, no. 9, pp. 884-900, Sept. 1996.
35. C. Samson, L. Blanc-Fraud, G. Aubert, and J. Zerubia, "Multiphase Evolution and Variational Image Classification," Technical Report 3662, INRIA, France, 1999.
36. M. Leventon, E. Grimson, and O. Faugeras, "Statistical Shape Influence in Geodesic Active Contours," Proc. IEEE CS Conf. Computer Vision and Pattern Recognition, vol. 1, pp. 316-323, 2000.
37. http://www.ee.surrey.ac.uk/Research/VSSP/imagedb/demo.html, 2005.