Estimation method of the homodyned K-distribution based on the mean intensity and two log-moments

SIAM Journal on Imaging Sciences

Volumn 6, Issue 3, 2013, Pages 1499-1530

  Destrempes, François ^a   Porée, Jonathan ^a,b   Cloutier, Guy ^a,b  

^a CENTRE HOSPITALIER DE L UNIVERSITÉ DE MONTRÉAL   (Canada)

^b UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

Echo envelope; Homodyned K distribution; Land clutter; Medical ultrasonics; Microwave sea echo; Non Gaussian scattering; Optical propagation through turbulent media; Random walks; Statistical parameter estimation

Indexed keywords

ECHO ENVELOPE; K-DISTRIBUTION; LAND CLUTTER; MEDICAL ULTRASONICS; NON-GAUSSIAN; RANDOM WALK; SEA ECHO; STATISTICAL PARAMETER ESTIMATIONS; TURBULENT MEDIA;

ALGORITHMS; GAUSSIAN NOISE (ELECTRONIC); HIGHER ORDER STATISTICS; RANDOM PROCESSES; SCATTERING; SIGNAL TO NOISE RATIO; ULTRASONICS;

ESTIMATION;

EID: 84885068768     PISSN: None     EISSN: 19364954     Source Type: Journal    
DOI: 10.1137/120875727     Document Type: Article

References (38)

1. D. A. Abraham and A. P. Lyons, Novel physical interpretation of K-distributed reverberation, IEEE J. of Ocean. Eng., 27 (2002), pp. 800-813.
2. M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover, New York, 1972.
3. M. Alavi, F. Destrempes, C. Schmitt, E. Montagnon, and G. Cloutier, Shear wave propagation modulates quantitative ultrasound K-distribution echo envelope model statistics in homogeneous viscoelastic phantoms, in Proceedings of the IEEE International Ultrasonics Symposium, Dresden, Germany, 2012.
4. D. Blacknell and R. J. A. Tough, Parameter estimation for the K-distribution based on [z log(z)], IEE Proc. Radar, Sonar Navig., 148 (2001), pp. 309-312.
5. C. B. Burckhardt, Speckle in ultrasound B-mode scans, IEEE Trans. Sonics Ultrason., SU-25 (1978), pp. 1-6.
6. F. Destrempes and G. Cloutier, A critical review and uniformized representation of statistical distributions modeling the ultrasound echo envelope, Ultrasound Med. Biol., 36 (2010), pp. 1037-1051.
7. F. Destrempes, E. Franceschini, F. T. H. Yu, and G. Cloutier, Relation between the backscatter coefficient and echo envelope statistical parameters in the context of red blood cell aggregation, in Proceedings of the 8th International Conference on Ultrasonic Biomedical Microscanning, St-Paulin, QC, Canada, 2012.
8. V. Dutt and J. F. Greenleaf, Ultrasound echo envelope analysis using a homodyned K distribution signal model, Ultrason. Imaging, 16 (1994), pp. 265-287.
9. C. F. Gerald and P. O. Wheatley, eds., Applied Numerical Analysis, 7th ed., Addison-Wesley, Reading, MA, 2003.
10. X. Hao, C. J. Bruce, C. Pislaru, and J. F. Greenleaf, Characterization of reperfused infarcted myocardium from high-frequency intracardiac ultrasound imaging using homodyned K distribution, IEEE Trans. Ultrason. Ferroelectr. Freq. Control., 49 (2002), pp. 1530-1542.
11. D. P. Hruska and M. L. Oelze, Improved parameter estimates based on the homodyned K distribution, IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 56 (2009), pp. 2471-2481.
12. D. P. Hruska, J. Sanchez, and M. L. Oelze, Improved diagnostics through quantitative ultrasound imaging, in Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2009, pp. 1956-1959.
13. E. Jakeman, On the statistics of K-distributed noise, J. Phys. A, 13 (1980), pp. 31-48.
14. E. Jakeman and P. N. Pusey, A model for non-Rayleigh sea echo, IEEE Trans. Antennas and Propagation, 24 (1976), pp. 806-814.
15. E. Jakeman and R. J. A. Tough, Generalized K distribution: A statistical model for weak scattering, J. Opt. Soc. Am. A, 4 (1987), pp. 1764-1772.
16. J. Jensen, Sur les fonctions convexes et les inégalités entre les valeurs moyennes, Acta Math., 30 (1906), pp. 175-193.
17. J. A. Jensen, A program for simulating ultrasound systems, Med. Biol. Comput., 34 (1996), pp. 351-353.
18. J. A. Jensen and N. B. Svendsen, Calculation of pressure fields from arbitrarily shaped, apodized, and excited ultrasound transducers, IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 39 (1992), pp. 262-267.
19. F. Kallel, M. Bertrand, and J. Meunier, Speckle motion artifact under tissue rotation, IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 41 (1994), pp. 105-122.
20. S. Kullback and R. A. Leibler, On information and sufficiency, Ann. Math. Statistics, 22 (1951), pp. 79-86.
21. R. D. Lord, The use of the Hankel transform in statistics. I. General theory and examples, Biometrika, 41 (1954), pp. 44-55.
22. J. Mamou, A. Coron, M. L. Oelze, E. Saegusa-Beecroft, M. Hata, P. Lee, J. Machi, E. Yanagihara, P. Laugier, and E. J. Feleppa, Three-dimensional high-frequency backscatter and envelope quantification of cancerous human lymph nodes, Ultrasound Med. Biol., 37 (2011), pp. 2055-2068.
23. R. C. Molthen, P. M. Shankar, and J. M. Reid, Characterization of ultrasonic B-scans using non-Rayleigh statistics, Ultrasound Med. Biol., 21 (1995), pp. 161-170.
24. M. Nakagami, Study of the resultant amplitude of many vibrations whose phases and amplitudes are at random, J. Inst. Elec. Commun. Engrs. Japan, 24 (1940), pp. 17-26.
25. M. L. Oelze and W. D. O'Brien, Jr., Quantitative ultrasound assessment of breast cancer using a multiparameter approach, in Proceedings of the IEEE Utrasound Symposium, 2007, pp. 981-984.
26. C. J. Oliver, A model for non-Rayleigh scattering statistics, in Wave Propagation and Scattering, B. J. Uscinski, ed., Clarendon, Oxford, UK, 1986, pp. 155-173.
27. G. Parry and P. N. Pusey, K-distributions in atmospheric propagation of laser light, J. Opt. Soc. Am., 69 (1979), pp. 796-798.
28. R. W. Prager, A. H. Gee, G. M. Treece, and L. H. Berman, Decompression and speckle detection for ultrasound images using the homodyned K-distribution, Pattern Recogn. Lett., 24 (2003), pp. 705-713.
29. Lord Rayleigh, On the resultant of a large number of vibrations of the same pitch and of arbitrary phase, Phil. Mag., 10 (1880), pp. 73-78.
30. S. O. Rice, Mathematical analysis of random noise, Bell System Tech. J., 24 (1945), pp. 46-156.
31. R. K. Saha and M. C. Kolios, Effects of cell spatial organization and size distribution on ultrasound backscattering, IEEE Trans. Ultrason. Ferroelectr. Freq. Control., 58 (2011), pp. 2118-2131.
32. D. Savéry and G. Cloutier, High-frequency ultrasound backscattering by blood: Analytical and semianalytical models of the erythrocyte cross section, J. Acoust. Soc. Am., 121 (2007), pp. 3963-3971.
33. P. M. Shankar, J. M. Reid, H. Ortega, C. W. Piccoli, and B. B. Goldberg, Use of non-Rayleigh statistics for the identification of tumors in ultrasonic B-scans of the breast, IEEE Trans. Med. Imag., 12 (1993), pp. 687-692.
34. R. Taggart, R. E. Baddour, A. Giles, G. J. Czarnota, and M. C. Kolios, Ultrasonic characterization of whole cells and isolated nuclei, Ultrasound Med. Biol., 33 (2007), pp. 389-401.
35. I. Trop, F. Destrempes, M. El Khoury, L. Allard, B. Chayer, and G. Cloutier, The added value of statistical parameters based on sonographic backscattering properties of tissues in the management of breast lesions, in Proceedings of the 98th Assembly and Annual Meeting of the Radiological Society of North America, Chicago, IL, 2012.
36. V. Twersky, Transparency of pair-correlated, random distributions of small scatterers, with applications to the cornea, J. Opt. Soc. Am., 65 (1975), pp. 524-530.
37. V. Twersky, Low-frequency scattering by correlated distributions of randomly oriented particles, J. Acoust. Soc. Am., 81 (1987), pp. 1609-1618.
38. K. D. Ward, Compound representation of high resolution sea clutter, Electron. Lett., 17 (1981), pp. 561-566.