Phase Unwrapping for 2-D Blind Deconvolution of Ultrasound Images

IEEE Transactions on Medical Imaging

Volumn 23, Issue 1, 2004, Pages 7-25

  Michailovich, Oleg ^a   Adam, Dan ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Multiresolution analysis; Phase unwrapping; Poisson equation; Ultrasound

Indexed keywords

ALGORITHMS; CALIBRATION; COMPUTER SIMULATION; FOURIER TRANSFORMS; FUNCTIONS; IMAGE RECONSTRUCTION; IMAGE SEGMENTATION; POISSON DISTRIBUTION; ULTRASONIC IMAGING;

MULTIRESOLUTION ANALYSIS; PHASE UNWRAPPING; RADIO FREQUENCY (RF) IMAGING;

MEDICAL IMAGING;

ALGORITHM; ARTICLE; COMPARATIVE STUDY; COMPUTER ASSISTED DIAGNOSIS; ECHOGRAPHY; EVALUATION; IMAGE ENHANCEMENT; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING; VALIDATION STUDY;

ALGORITHMS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING, COMPUTER-ASSISTED; ULTRASONOGRAPHY;

EID: 0346076616     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2003.819932     Document Type: Article

References (38)

1. W. Vollman, "Resolution enhancement of ultrasonic B-scan images by deconvolution," IEEE Trans. Sonics Ultrason., vol. SU-29, pp. 78-83, Mar. 1982.
2. J. A. Jensen and S. Leeman, "Nonparametric estimation of ultrasound pulses," IEEE Trans. Biomed. Eng., vol. 41, pp. 929-936, Oct., 1994.
3. J. A. Jensen, "Deconvolution of in vivo ultrasound B-mode images," Ultrason. Imaging, vol. 15, pp. 122-133, 1992.
4. T. Taxt, "Comparison of cepstrum-based methods for radial blind deconvolution of ultrasound images," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 44, pp. 666-674, May 1997.
5. J. A. Jensen, "Estimation of pulses in medical ultrasound," Ultrason. Imag., vol. 16, pp. 190-203, 1994.
6. D. Adam and O. Michailovich, "Blind deconvolution of ultrasound sequences using nonparametric local polynomial estimates of the pulse," IEEE Trans. Biomed. Eng., vol. 49, pp. 118-132, Feb. 2002.
7. O. Michailovich and D. Adam, "Shift-invariant, DWT-based "projection" method for estimation of ultrasound pulse power spectrum," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 49, pp. 1060-1072, Aug. 2002.
8. T. Taxt, "Restoration of medical ultrasound images using two-dimensional homomorphic deconvolution," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 42, pp. 543-554, July 1995.
9. R. F. Wagner, S. W. Smith, J. M. Sandrik, and H. Lopez, "Statistics of speckle in ultrasound B-scans," IEEE Trans. Sonics Ultrason., vol. SU-30, pp. 156-163, May 1983.
10. G. Georgiou and F. Cohen, "Statistical characterization of diffuse scattering in ultrasound images," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 45, pp. 57-64, Jan. 1998.
11. A. V. Oppenheim and R. W. Schafer, Discrete Time Signal Processing, London, U.K.: Prentice Hall, 1989.
12. D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms, and Software. New York. NY: Wiley-Interscience, 1998.
13. T. Taxt and G. Frolova, "Noise robust one-dimensional blind deconvolution of medical ultrasound images," IEEE Trans. Ultrason., Ferroelect., Freq. Contr, vol. 46, pp. 291-299, Mar. 1999.
14. M. Costantini, A. Farina, and F. Zirilli, "A fast phase unwrapping algorithm for SAR interferometry," IEEE Trans. Geosci. Remote Sensing, vol. 37, pp. 452-460, Jan. 1999.
15. R. M. Goldstein, H. A. Zebker, and C. L. Werner, "Satellite radar interferometry: Two-dimensional phase unwrapping," Radio Sci., vol. 23, no. 4, pp. 713-720, July-Aug. 1988.
16. M. D. Pritt and J. S. Shipman, "Least-square two-dimensional phase unwrapping using FFTs," IEEE Trans. Geosci. Remote Sensing, vol. 32, pp. 706-708, May 1994.
17. S. M. Song, S. Napel, N. J. Pelc, and G. H. Glover, "Phase unwrapping of MR phase images using Poisson equation," IEEE Trans. Image Processing, vol. 4, pp. 667-676, May 1995.
18. J. M. Tribolet, "A new phase unwrapping algorithm," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-25, pp. 170-177, Apr. 1977.
19. B. Bhanu and J. H. McClellan, "On the computation of the complex cepstrum," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-28, pp. 583-585, Oct. 1980.
20. J. B. Scott, "Improving confidence in the phase unwrapping algorithm," IEEE Trans. Acoust., Speech. Signal Processing, vol. ASSP-32, pp. 1254-1255, Dec. 1984.
21. E. Poggiagliolmi, A. J. Berkhout, and M. M. Boone, "Phase unwrapping, possibilities and limitations," Geophysical Prospecting, vol. 30, pp. 281-291, 1982.
22. H. Stark, Image Recovery: Theory and applications. Oriando, FL: Academic, 1987.
23. K. Steiglitz and B. Dickinson, "Phase unwrapping by factorization," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-30, pp. 984-991, Dec. 1982.
24. A. T. Bharucha-Reid and M. Sambandham, Random Polynomials. Probability and Mathematical Statistics. Oriando, FL: Academic, 1986.
25. R. A. Adams, Sobolev Spaces, ser. Pure and Applied Mathematics Series. New York: Academic, 1978.
26. S. G. Mallat, A Wavelet Tour of Signal Processing. New York: Academic, 1998.
27. K. Rektorys, Vocational Methods in Mathematics, Science, and Engineering, Dordrecht: Reidel, 1980.
28. I. J. Schoenberg, "Contribution to the problem of approximation of equidistant data by analytic function," Quart. Appl. Math., vol. 4, pp. 45-99, 1946. 112-141.
29. T. Schanze, "Sine interpolation of discrete periodic signals," IEEE Trans. Signal Processing, vol. 43, pp. 1502-1503, June 1995.
30. S. R. Dooley and A. K. Nandi, "Notes on the interpolation of discrete periodic signals using Sine function related approaches," IEEE Trans. Signal Processing, vol. 48, pp. 1201-1203, Apr. 2000.
31. M. Jacob, T. Blu, and M. Unser, "Sampling of periodic signals: A quantitative error analysis." IEEE Trans. Signal Processing, vol. 50, pp. 1153-1159, May 2002.
32. G. Strang and T. Nguyen, Wavelets and filter banks. Wellesley, MA: Wellesley-Cambridge Press. 1996.
33. W. Dahmen and C. A. Micchelli. "Using the refinement equation for evaluating integrals of wavelets," SIAM J. Numer. Anal., vol. 30, pp. 507-537, 1993.
34. M. Unser, A. Aldroubi, and M. Eden, "A family of polynomial spline wavelet transforms," Signal Processing, vol. 30, pp. 141-162, 1993.
35. I. Daubechies, Ten Lectures on Wavelets. Philadelphia, PA: SIAM, 1992.
36. I. Gohberg and S. Goldberg, Basic Operator Theory. Boston, MA: Birkhauser, 1980.
37. A. N. Tikhonov and V. Y. Arsenin, Solutions of ill-Posed Problems. Washington, DC: Winston, 1963.
38. K. A. Wear, "The effects of frequency-dependent attenuation and dispersion on sound speed measurements: Application in human trabecula bone," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 47, pp. 265-273, Jan. 2000.