Efficient energies and algorithms for parametric snakes

IEEE Transactions on Image Processing

Volumn 13, Issue 9, 2004, Pages 1231-1244

  Jacob, Mathews ^a   Blu, Thierry ^a   Unser, Michael ^a  

^a IEEE   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; EDGE DETECTION; FOURIER TRANSFORMS; GRADIENT METHODS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; OPTIMIZATION; PARTIAL DIFFERENTIAL EQUATIONS; PROBABILITY DISTRIBUTIONS; PROBLEM SOLVING; VECTORS;

ACTIVE CONTOUR; IMAGE ENERGY; PARAMETRIC ACTIVE CONTOUR MODELS; SURFACE INTEGRAL;

IMAGE SEGMENTATION;

ALGORITHM; ARTICLE; AUTOMATED PATTERN RECOGNITION; CLUSTER ANALYSIS; COMPARATIVE STUDY; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; CORPUS CALLOSUM; EVALUATION; HISTOLOGY; HUMAN; IMAGE ENHANCEMENT; INFORMATION RETRIEVAL; METHODOLOGY; NUCLEAR MAGNETIC RESONANCE IMAGING; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING; STATISTICAL MODEL; VALIDATION STUDY;

ALGORITHMS; CLUSTER ANALYSIS; COMPUTER SIMULATION; CORPUS CALLOSUM; HUMANS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; INFORMATION STORAGE AND RETRIEVAL; MAGNETIC RESONANCE IMAGING; MODELS, STATISTICAL; PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 4344607611     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2004.832919     Document Type: Article

References (40)

1. A. K. Jain, Y. Zhong, and M. P. D. Jolly, "Deformable template models: A review," Signal Processing, vol. 76, pp. 109-129, 1998.
2. T. McInerney and D. Terzopoulos, "Deformable models in medical image analysis: A survey," Med. Image Anal., vol. 1, pp. 91-108, 1996.
3. M. Kass, A. Witkin, and D. Terzopoulos, "Snakes: Active contour models," Int. J. Comput. Vis., vol. 1, pp. 321-332, 1988.
4. C. Xu and J. L. Prince, "Snakes, shapes, and gradient vector flow," IEEE Trans. Image Processing, vol. 7, pp. 359-369, Mar. 1998.
5. J. Gao, A. Kosaka, and A. Kak, "A deformable model for human organ extraction," in Proc. Int. Conf. Image Processing, Chicago, IL, 1998, pp. 323-327.
6. S. Menet, P. Saint-Mark, and G. Medioni, "B-snakes: Implementation and application to stereo," in Proc. Image Understanding Workshop, 1990, pp. 720-726.
7. M. Gebhard, J. Mattes, and R. Eils, "An active contour model for segmentation based on cubic B-splines and gradient vector flow," in Proc. MICCAI, 2001.
8. M. A. Figueiredo and J. M. N. Leitao, "Unsupervised contour representation and estimation using B-splines and a minimum description length criterion," IEEE Trans. Image Processing, vol. 9, pp. 1075-1087, June 2000.
9. P. Brigger, J. Hoeg, and M. Unser, "B-spline snakes: A flexible tool for parametric contour detection," IEEE Trans. Image Processing, vol. 9, pp. 1484-1496, Sept. 2000.
10. L. H. Staib and J. S. Duncan, "Boundary fitting with parametrically deformable models," IEEE Trans. Pattern Anal. Machine Intell., vol. 14, pp. 1061-1075, Nov. 1992.
11. A. Chakraborthy, L. H. Staib, and J. S. Duncan, "Deformable boundary finding in medical images by integrating gradient and region information," IEEE Trans. Med. Imaging, vol. 15, pp. 859-870, June 1996.
12. V. Casselles, R. Kimmel, and G. Sapiro, "Geodesic active contours," in Proc. Int. Conf. Computer Vision, 1995.
13. R. Malladi, J. A. Sethian, and B. C. Vemuri, "Shape modeling with front propagation: A level set approach," IEEE Trans. Pattern Anal. Machine Intell., vol. 17, pp. 158-174, Feb. 1995.
14. G. Sapiro, Geometric Partial Differential Equations and Image Analysis. Cambridge, U.K.: Cambridge Univ. Press, 2001.
15. N. Paragios and R. Deriche, "Unifying boundary and region-based information for geodesic active tracking," in Proc. IEEE Inf. Conf. Computer Vision Pattern Recognition, Forth Collins, CO, 1999.
16. O. Amadieu, E. Debreuve, M. Barlaud, and G. Aubert, "Simeltaneous inward and outward curve evolution," in Proc. Int. Conf. Image Processing, Kobe, Japan, 1999.
17. M. Flickner, H. Sawhney, D. Pryor, and J. Lotspiech, "Intelligent interactive image outlining using spline snakes," in Proc. 28th Asilomar Conf. Signals, Systems, Computers, 1994.
18. T. F. Cootes, A. Hill, C. J. Taylor, and J. Haslam, "Use of active shape models for locating structures in medical images," Image Vis. Comput., vol. 12, pp. 355-365, 1994.
19. M. Jacob, T. Blu, and M. Unser, "A unifying approach and interface for spline-based snakes," in Proc. SPIE Int. Symp. Medical Imaging: Image Processing, vol. 4322, 2001, pp. 340-347.
20. C. Davatzikos, X. Tao, and D. Shen, "Hierarchical active shape models, using the wavelet transform," IEEE Trans. Med. Imaging, vol. 22, pp. 414-423, Mar..
21. M. E. Leventon, W. E. L. Grimson, and O. Faugeras, "Statistical shape influence in geodesic active contours," Comput. Vis. Pattern Recognit., 2000.
22. H. Park, T. Schoepflin, and Y. Kim, "Active contour model with gradient directional information: Directional snake," IEEE Trans. Circuits Syst. Video Technol., vol. 11, pp. 252-256, Feb. 2001.
23. M. Figueiredo and J. Leitao, "Bayesian estimation of ventricular contours in angiographic images," IEEE Trans. Med. Imaging, vol. 11, pp. 416-429, Mar. 1992.
24. C. Chesnaud, P. Refregier, and V. Boulet, "Statistical region snake-based segmentation adapted to different physical noise models," IEEE Trans. Pattern Anal. Machine Intell., vol. 21, pp. 1145-1157, Nov. 1999.
25. T. F. Chan and L. A. Vese, "Active contours without edges," IEEE Trans. Image Processing, vol. 10, pp. 266-276, Feb. 2001.
26. S. C. Zhu and A. Yuille, "Region competition: Unifying snakes, region growing, and Bayes/MDL for multiband image segmentation," IEEE Trans. Pattern Anal. Machine Intell., vol. 18, pp. 884-900, Aug. 1996.
27. S. Jehan-Besson, M. Barlaud, and G. Aubert, "A 3-step algorithm using region based active contours for video objects detection," EURASIP J. Appl. Signal Processing, vol. 6, pp. 572-581, 2002.
28. G. Strang and T. Nguyen, Wavelets and Filter Banks. Wellesley, MA: Wellesley-Cambridge, 1996.
29. F. Candocia and J. C. Prince, "Comments on sinc interpolation of discrete periodic signals," IEEE Trans. Signal Processing, vol. 11, pp. 2044-2047, Aug. 1998.
30. M. Jacob and M. Unser, "Design of steerable filters for feature detection using a Canny-like criterion," IEEE Trans. Pattern Anal. Machine Intell., vol. 26, pp. 1007-1019, Aug..
31. N. Paragios and R. Deriche, "Geodesic active regions for supervised texture segmentation," in Proc. Int. Conf. Image Processing, Corfou, Greece, 1999, pp. 688-694.
32. L. D. Cohen and I. Cohen, "Finite-element methods for active contour models and baloons for 2-D and 3-D images," IEEE Trans. Pattern Anal. Machine Intell., vol. 15, pp. 1131-1147, Nov. 1993.
33. F. Precioso and M. Barlaud, "Regular B-spline active contours for fast video segmentation," in Proc. IEEE Int. Conf. Image Processing, Rochester, NY, 2003.
34. I. J. Schoenberg, "Spline functions and the problem of graduation," in Proc. Nat. Acad. Sci., vol. 52, 1964, pp. 947-950.
35. M. Unser, "Splines: A perfect fit for signal and image processing," IEEE Signal Processing Mag., vol. 16, pp. 22-38, June 1999.
36. T. Blu and M. Unser, "Quantitative Fourier analysis of approximation techniques: Part II - Wavelets," IEEE Trans. Signal Processing, vol. 47, pp. 2783-2795, Oct. 1999.
37. G. Aubert, M. Barlaud, O. Faugeras, and S. J. Besson, "Image segmentation using active contours: Calculus of variations or shape gradients," SIAM J. Appl. Math., 2003.
38. M. Jacob, T. Blu, and M. Unser, "An exact method for computing the area moments of wavelet and spline curves," IEEE Trans. Pattern Anal. Machine Intell., vol. 23, pp. 633-642, June 2001.
39. E. Weisstein, "Eric Weisstein's world of mathematics," http://mathworld.wolfram.com.
40. W. Rasband, "ImageJ web site," http://rsb.info.nih.gov/ij.