Oriented speckle reducing anisotropic diffusion

IEEE Transactions on Image Processing

Volumn 16, Issue 5, 2007, Pages 1412-1424

  Krissian, Karl ^a,b   Westin, Carl Fredrik ^a   Kikinis, Ron ^a   Vosburgh, Kirby G ^a,c  

^a BRIGHAM AND WOMEN S HOSPITAL   (United States)

^b UNIVERSITY OF LAS PALMAS DE GRAN CANARIA   (Spain)

^c Center for Integration of Medicine and Innovative Technology   (United States)

Author keywords

Anisotropic diffusion; Filtering; Local statistics; Speckle; Ultrasound

Indexed keywords

MATRIX ALGEBRA; OPTICAL ANISOTROPY; SPECKLE; SPURIOUS SIGNAL NOISE; STATISTICS;

ANISOTROPIC DIFFUSION; ANISOTROPIC DIFFUSION FILTER; ULTRASOUND IMAGING;

ULTRASONIC IMAGING;

ALGORITHM; ANISOTROPY; ARTICLE; ARTIFACT; COMPUTER ASSISTED DIAGNOSIS; DIFFUSION; ECHOGRAPHY; EVALUATION; HUMAN; IMAGE ENHANCEMENT; LIVER; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; THREE DIMENSIONAL IMAGING;

ALGORITHMS; ANISOTROPY; ARTIFACTS; DIFFUSION; HUMANS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; LIVER; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; ULTRASONOGRAPHY;

EID: 34247366722     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2007.891803     Document Type: Article

References (50)

1. A. K. Jain, Fundamental of Digital Processing. Upper Saddle River, NJ: Prentice-Hall, 1989.
2. R. F. Wagner, S. W. Smith, and J. M. Sandrik, "Statistics of speckle in ultrasound B-scans," IEEE Trans. Son. Ultrason., vol. SU-30, no. 3, pp. 156-163, May 1983.
3. R. F. Wagner, M. F. Insana, and D. G. Brown, "Statistical properties of radiofrequency and envelope-detected signals with applications to medical ultrasound," J. Opt. Soc. Amer. A, vol. 4, pp. 910-922, 1987.
4. E. Jakeman and P. N. Pusey, "A model for non-Rayleigh sea echo," IEEE Trans. Antennas Propagat., vol. AP-24, no. 6, pp. 806-814, Nov. 1976.
5. E. Jakeman and R. J. A. Tough, "Generalized K distribution: A statistical model for weak scattering," J. Opt. Soc. Amer., vol. 4, pp. 1764-1772, 1987.
6. V. Dutt and J. F. Greenleaf, "Adaptive speckle reduction filter for logcompressed B-scan images," IEEE Trans. Med. Imag., vol. 15, no. 6, pp. 802-813, Dec. 1996.
7. M. F. Insana, R. F. Wagner, B. S. Garra, D. G. Brown, and T. H. Shawker, "Analysis of ultrasound image texture via generalized Rician statistics," Opt. Eng., vol. 25, no. 6, pp. 743-748, 1986.
8. V. Dutt and J. F. Greenleaf, "Ultrasound echo envelope analysis using a homodyned K-distribution signal model," Ultrason. Imag., vol. 16, pp. 265-287, 1994.
9. T. Eltoft, "Modeling the amplitude statistics of ultrasonic images," IEEE Trans. Med. Imag., vol. 25, no. 2, pp. 229-240, Feb. 2006.
10. Karmeshu and R. Agrawal, "Study of ultrasonic echo envelope based on nakagami-inverse gaussian distribution," Ultrasound Med. Biol., vol. 32, pp. 371-376, 2006.
11. P. M. Shankar, "Ultrasonic tissue characterization using a generalized nakagami model," IEEE Trans. Ultrason. Ferroelect., Freq., Control vol. 48, no. 3, pp. 1716-1720, Mar. 2001.
12. D. Kaplan and Q. Ma, "On the statistical characteristics of the logcompressed Rayleigh signals: Theorical formulation and experimental results," J. Acoust. Soc. Amer., vol. 95, pp. 1396-1400, Mar. 1994.
13. V. Dutt and J. Greenleaf, "Adaptative speckle reduction filter for logcompressed b-scan images," IEEE Trans. Med. Imag., vol. 15, no. 6, pp. 802-813, Dec. 1996.
14. A. Loupas, "Digital image processing for noise reduction in medical ultrasonics," Ph.D. dissertation, Univ. Edinburgh, Edinburgh, U.K., 1988.
15. Y. Yu and S. Acton, "Edge detection in ultrasound imagery using the instantaneous coefficient of variation," IEEE Trans. Image Process. vol. 13, no. 12, pp. 1640-1655, Dec. 2004.
16. Y. Yu and S. Acton, "Speckle reducing anisotropic diffusion," IEEE Trans. Image Process., vol. 11, no. 11, pp. 1260-1270, Nov. 2002.
17. S. Aja-Fernández and C. Alberola-Lápez, "On the estimation of the coefficient of variation for anisotropic diffusion speckle filtering," IEEE Trans. Image Processing, vol. 15, no. 9, pp. 2694-2701, Sep. 2006.
18. K. Z. Abd-Elmoniem, A.-B. M. Youssef, and Y. M. Kadah, "Real-time speckle reduction and coherence enhancement in ultrasound imaging via nonlinear anisotropic diffusion," IEEE Trans. Biomed. Eng., vol. 49, no. 9, pp. 997-1014, Sep. 2002.
19. O. V. Michailovich and A. Tannenbaum, "Despeckling of medical ultrasound images," IEEE Trans. Ultrason., Ferroelect., Freq., Control, vol. 53, no. 1, pp. 64-78, Jan. 2006.
20. S. O. Choy, Y. H. Chan, and W. C. Siu, "Adaptive image noise filtering using transform domain local statistics," Opt. Eng., vol. 37, no. 8, pp. 2290-2296, 1998.
21. J. Lee, "Digital image enhancement and noise filtering using local statistics," IEEE Trans. Pattern Anal. Mach. Intell., vol. PAMI-2, no. 2, pp. 165-168, Feb. 1980.
22. V. Frost, J. Stiles, K. Shanmugan, and J. Holzman, "A model for radar images and its application to adaptive digital filtering of multiplicative noise," IEEE Trans. Pattern Anal. Mach. Intell., vol. PAMI-4, no. 2, pp. 157-166, Feb. 1982.
23. D. T. Kuan, A. A. Sawchuk, T. C. Strand, and C. P., "Adaptive noise smoothing filter with signal-dependent noise," IEEE Trans. Pattern Anal. Mach. Intell., vol. PAMI-7, no. 2, pp. 165-177, Feb. 1985.
24. S. Gupta, R. Chauhan, and S. Sexana, "Wavelet-based statistical approach for speckle reduction in medical ultrasound images," Med. Biol. Eng. Comput., vol. 42, no. 2, pp. 189-192, Mar. 2004.
25. L. Rudin, P.-L. Lions, and S. Osher, "Multiplicative denoising and deblurring: Theory and algorithms," in Geometric Level Set Methods in Imaging, Vision and Graphics. New York: Springer-Verlag, 2003, ch. 6, pp. 103-120.
26. R. Wallis, "An approach to the space variant restoration and enhancement of images," presented at the Symp. Current Mathematical Problems in Image Science, Monterey, CA, 1975.
27. P. Perona and J. Malik, "Scale-space and edge detection using anisotropic diffusion," IEEE Trans. Pattern Anal. Mach. Intell., vol. PAMI-12, no. 7, pp. 629-639, Jul. 1990.
28. J. Weickert, Anisotropic Diffusion in Image Processing. Suttgart, Germany: Teubner-Verlag, 1998.
29. K. Krissian, "Flux-based anisotropic diffusion applied to enhancement of 3d angiogram," IEEE Trans. Med. Imag., vol. 21, no. 11, pp. 1440-1442, Nov. 2002.
30. N. Nordström, "Biased anisotropic diffusion - A unified regularization and diffusion approach to edge detection," Image Vis. Comput., vol. 8, no. 4, pp. 318-327, 1990.
31. S. Geman and D. Geman, "Stochastic relaxation, Gibbs distributions, and the Bayesian restauration of images," IEEE Trans. Pattern Anal. Mach. Intell., vol. PAMI-6, no. 6, pp. 721-741, Nov. 1984.
32. D. Mumford and J. Shah, "Boundary detection by minimizing functionals," in CVPR. San Francisco, CA: IEEE, Jun. 1985, pp. 22-26.
33. L. Rudin, S. Osher, and E. Fatemi, "Nonlinear total variation based noise removal algorithms," Phys. D, vol. 60, pp. 259-268, 1992.
34. K. Krissian, K. Vosburgh, R. Kikinis, and C.-F.Westin, "Speckle-constrained anisotropic diffusion for ultrasound images," in Proc. IEEE Computer Society Conf. Computer Vision and Pattern Recognition, San Diego, CA, Jun. 2005, vol. 2, pp. 547-552.
35. G. Gerig, O. Kübler, R. Kikinis, and F. A. Jolesz, "Nonlinear anisotropic filtering of mri data," IEEE Trans. Med. Imag., vol. 11, no. 2, pp. 221-232, Jun. 1992.
36. J. Weickert, B. ter Haar Romeny, and M. A. Viergever, "Efficient and reliable schemes for nonlinear diffusion filtering," IEEE Trans. Image Process., vol. 7, no. 3, pp. 398-410, Mar. 1998.
37. J. Weickert, "Recursive separable schemes for nonlinear diffusion filters," in Scale-Space Theory in Computer Vision (Scale-Space , B. ter Haar Romeny, L. Florack, J. Koenderink, and M. Viergever, Eds. Utrecht, The Netherlands: Springer Verlag, Jul. 1997, vol. 1252, pp. 260-271.
38. J. Weickert, "Coherence-enhancing diffusion filtering," Int. J. Comput. Vis., vol. 31, no. 2/3, pp. 111-127, 1999.
39. G. Farnebäck, "Polynomial expansion for orientation and motion estimation," Ph.D. dissertation, Linköping Univ., Sweden, Linköping, Sweden, 2002.
40. K. Krissian, J. Ellsmere, K. Vosburgh, R. Kikinis, and C.-F. Westin, "Multiscale segmentation of the aorta in 3d ultrasound images," in Proc. 25th Annu. Int. Conf. IEEE Engineering in Medicine and Biology Society (EMBS), Cancun, Mexico, Sep. 2003, pp. 638-641.
41. F. Catte, T. Coll, P. L. Lions, and J. M. Morel, "Image selective smoothing and edge detection by nonlinear diffusion," SIAM-JAM, vol. 29, no. 1, pp. 182-193, Feb. 1992.
42. W. K. Pratt, Digital Image Processing. New York: Wiley, 1977.
43. J. Canny, "A computational approach to edge detection," IEEE Trans. Pattern Anal. Mach. Intell., vol. PAMI-8, no. 6, pp. 679-698, Nov. 1986.
44. R. San-Jose, M. Martin-Fernandez, P. Caballero-Martinez, C. Alberola-Lopez, and J. Ruiz-Alzola, "A theoretical framework to three-dimensional ultrasound reconstruction from irregularly-sample data," Ultrasound Med. Biol., no. 2, pp. 255-269, 2003.
45. K. Krissian, "A new variational image restoration applied to 3D angiographies," in Proc. IEEE Workshop Variational and Level Set Methods. in Computer Vision, Jul. 2001, pp. 65-72.
46. X. Zong, A. F. Laine, and E. A. Geiser, "Speckle reduction and contrast enhancement of echocardiograms via multiscale nonlinear processing," IEEE Trans. Med. Imag., vol. 17, no. 4, pp. 532-540, Apr. 1998.
47. X. Hao, S. Gao, and X. Gao, "A novel multiscale nonlinear thresholding method for ultrasonic speckle suppressing," IEEE Trans. Med. Imag. vol. 18, no. 9, pp. 787-794, Sep. 1999.
48. A. Achim, A. Bezerianos, and P. Tsakalides, "Novel bayesian multiscale method for speckle removal in medical ultrasound images," IEEE Trans. Med. Imag., vol. 20, no. 8, pp. 772-783, Aug. 2001.
49. W. M. Wells, R. Kikinis, W. E. L. Grimson, and F. Jolesz, "Adaptive segmentation of MRI data," IEEE Trans. Med. Imag., vol. 15, no. 4, pp. 429-442, Aug. 1996.
50. J.-F. Mangin, "Entropy minimization for automatic correction of intensity nonuniformity," in IEEE Workshop on MMBIA, 2000, pp. 162-169.