Morphing active contours

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn 22, Issue 7, 2000, Pages 733-737

  Bertalmio, Marcelo ^a   Sapiro, Guillermo ^a   Randall, Gregory ^a  

^a University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; CURVE FITTING; FUNCTIONS; IMAGE SEGMENTATION; MATHEMATICAL MORPHOLOGY; PARTIAL DIFFERENTIAL EQUATIONS; TOPOLOGY;

CURVE EVOLUTION; ELECTRONIC MICROSCOPY; OBJECT TRACKING;

IMAGE ANALYSIS;

EID: 0034229216     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/34.865191     Document Type: Article

References (20)

1. L. Alvarez, P.L. Lions, and J.M. Morel, "Image Selective Smoothing and Edge Detection by Nonlinear Diffusion," SIAM }. Numeric Analysis, vol. 29, pp. 845-866, 1992.
2. M. Bertalmio, G. Sapiro, and G. Randall, "Region Tracking on Level-Sets Methods," IEEE Trans. Medical Imaging, vol. 18, no. 5, pp. 448-451, May 1999.
3. M. Black, G. Sapiro, D. Marimont, and D. Heeger, "Robust Anisotropie Diffusion," IEEE Trans. Image Processing, vol. 7, no. 3, pp. 421-432, 1998.
4. A. Blake and M. Isard, Active Contours. New York: Springer-Verlag, 1998.
5. V. Caselles, R. Kimmel, and G. Sapiro, "Geodesic Active Contours," Int'l J. Computer Vision, vol. 22, no. 1, pp. 61-79, 1997.
6. V. Caselles, G. Sapiro, and D.H. Chung, "Vector Median Filters, Inf-Sup Operations, and Coupled PDE's: Theoretical Connections," J. Math. Imaging and Vision, vol. 12, pp. 109-120, Apr. 2000.
7. Y.G. Chen, Y. Giga, and S. Goto, "Uniqueness and Existence of Viscosity Solutions of Generalized Mean Curvature Flow Equations," J. Differential Geometry, vol. 33, 1991.
8. L.C. Evans and J. Spruck, "Motion of Level Sets by Mean Curvature, I," J. Differential Geometry, vol. 33, 1991.
9. M. Kass, A. Witkin, and D. Terzopoulos, "Snakes: Active Contour Models," Int'l ]. Computer Vision, vol. 1, pp. 321-331, 1988.
10. S. Kichenassamy, A. Kumar, P. Olver, A. Tannenbaum, and A. Yezzi, "Conformai Curvature Flows: From Phase Transitions to Active Vision," Archive for Rational Mechanics and Analysis, vol. 134, pp. 275-301, 1996.
11. R. Malladi, J.A. Sethian, and B.C. Vemuri, "Shape Modeling with Front Propagation: A Level Set Approach," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 17, pp. 158-175, 1995.
12. S.J. Osher and J.A. Sethian, "Fronts Propagation with Curvature Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations," J. Computational Physics, vol. 79, pp. 12-49, 1988.
13. N. Paragios and R. Deriche, "A PDF-Based Level-Set Approach for Detection and Tracking of Moving Objects," Proc. Int'l Conf. Computer Vision '98, Jan. 1998.
14. N. Paragios and R. Deriche, "Geodesic Active Regions for Motion Estimation and Tracking," Proc. Int'l Conf. Computer Vision, Sept. 1999.
15. N. Paragios and R. Deriche, "Unifying Boundary and Region-Based Information for Geodesic Active Tracking," Proc. IEEE Conf. Computer Vision and Pattern Recognition, June 1999.
16. P. Perona and J. Malik, "Scale-Space and Edge Detection Using Anisotropie Diffusion," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 12, pp. 629-639, 1990.
17. Geometry Driven Diffusion in Computer Vision, B. Romeny, ed., The Netherlands: Kluwer, 1994.
18. M. Proesmans, E. Pauwels, and L. van Gool, "Coupled Geometry-Driven Diffusion Equations for Low-Level Vision," Geometry Driven Diffusion in Computer Vision, B. Romeny, ed., The Netherlands: Kluwer, 1994.
19. B. Tang, G. Sapiro, and V. Caselles, "Diffusion of General Data on Non-Flat Manifolds via Harmonic Maps Theory: The Direction Diffusion Case," Int'l j. Computer Vision, to appear.
20. L. Vazquez, G. Sapiro, and G. Randall, "Segmenting Neurons in Electronic Microscopy via Geometric Tracing," Proc. IEEE Int'l Conf. Information Processing, Oct. 1998.