Abstract
This paper introduces a new multiscale speckle reduction method based on the extraction of wavelet interscale dependencies to visually enhance the medical ultrasound images and improve clinical diagnosis. The logarithm of the image is first transformed to the oriented dual-tree complex wavelet domain. It is then shown that the adjacent subband coefficients of the log-transformed ultrasound image can be successfully modeled using the general form of bivariate isotropic stable distributions, while the speckle coefficients can be approximated using a zero-mean bivariate Gaussian model. Using these statistical models, we design a new discrete bivariate Bayesian estimator based on minimizing the mean square error (MSE). To assess the performance of the proposed method, four image quality metrics, namely signal-to-noise ratio, MSE, coefficient of correlation, and edge preservation index, were computed on 80 medical ultrasound images. Moreover, a visual evaluation was carried out by two medical experts. The numerical results indicated that the new method outperforms the standard spatial despeckling filters, homomorphic Wiener filter, and new multiscale speckle reduction methods based on generalized Gaussian and symmetric alpha-stable priors.
Similar content being viewed by others
References
Abbott J.G., Thurstone F.L.: Acoustic speckle: theory and experimental analysis. Ultrason. Imaging 1, 303–324 (1979)
Wagner R.F., Smith S.W., Sandrik J.M., Lopez H.: Statistics of speckle in ultrasound B-scans. IEEE Trans. Sonics Ultrason. 30, 156–163 (1983)
Burckhardt C.B.: Speckle in ultrasound B-mode scans. IEEE Trans. Sonics Ultrason. SU-25, 1–6 (1978)
Lee J.S.: Digital Image enhancement and noise filtering by using local statistics. IEEE Trans. Pattern Anal. Mach. Intell. PAMI-2, 165–168 (1980)
Frost V.S., Stiles J.A., Shanmugan K.S., Holtzman J.C.: A model for radar images and its application to adaptive digital filtering of multiplicative noise. IEEE Trans. Pattern Anal. Mach. Intell. PAMI-4, 157–165 (1982)
Kuan D.T., Sawchuk A.A., Strand T.C., Chavel P.: Adaptive restoration of images with speckle. IEEE Trans. Acoust. Speech Signal Process. ASSP-35, 373–383 (1987)
Lopez A., Touzi R., Nezry E.: Adaptive speckle filters and scene heterogeneity. IEEE Trans. Geosci. Remote Sens. 28, 992–1000 (1990)
Yu Y., Acton S.T.: Speckle reducing anisotropic diffusion. IEEE Trans. Image Process. 11, 1260–1270 (2002)
Mallat S.: A Wavelet Tour of Signals Processing. Academic Press, London (1998)
Donoho D.L.: Denoising by soft-thresholding. IEEE Trans. Inf. Theory 41, 613–627 (1995)
Simoncelli E.P.: Bayesian denoising of visual images in the wavelet domain. In: Muller, P., Vidakovic, B. (eds) Bayesian Inference in Wavelet Based Models chap. 18, pp. 291–308. Springer, New York (1999)
Achim A., Bezerianos A., Tsakalides P.: Novel Bayesian multiscale method for speckle removal in medical ultrasound images. IEEE Trans. Med. Imaging 20, 772–783 (2001)
Sendur L., Selesnick I.W.: Biavriate shrinkage functions for wavelet-based denoising exploiting interscale dependency. IEEE Trans. Signal Process. 50, 2744–2756 (2002)
Cho D., Bui T.D.: Multivariate statistical modeling for image denoising using wavelet transforms. Signal Process. Image Commun. 20, 77–89 (2003)
Achim A., Kuruoglu E.: Image denoising using bivariate alpha-stable distributions in the complex wavelet domain. IEEE Signal Process. Lett. 12, 17–20 (2005)
Forouzanfar, M., Moghaddam, H.A., Dehghani, M.: Speckle reduction in medical ultrasound images using a new multiscale bivariate Bayesian MMSE-based method. In: Proceedings of IEEE 15th signal processing and communication applications conference, Eskisehir, Turkey, June 2007
Gupta S., Chauhan R.C., Sexana S.C.: Wavelet-based statistical approach for speckle reduction in medical ultrasound images. Med. Biol. Eng. Comput. 42, 189–192 (2004)
Zhang L., Bao P., Wu X.: Multiscale LMMSE-based image denoising with optimal wavelet selection. IEEE Trans. Circuits Syst. Video Technol. 15, 469–481 (2005)
Pizurica A., Philips W., Lemahieu I., Acheroy M.: A versatile wavelet domain noise filtration technique for medical imaging. IEEE Trans. Med. Imaging 22, 323–331 (2003)
Goodman J.W.: Some fundamental properties of speckle. J. Opt. Soc. Am. 66, 1145–1150 (1976)
Ulaby F.T., Haddock T.F., Austin R.T.: Fluctuation statistics of millimeter wave scattering from distributed targets. IEEE Trans. Geosci. Remote Sens. 26, 268–281 (1988)
Jain A.K.: Fundamentals of Digital Image Processing. Prentice-Hall, Englewood Cliffs (1989)
Xie H., Pierce L.E., Ulaby F.T.: Statistical properties of logarithmically transformed speckle. IEEE Trans. Geosci. Remote Sens. 40, 721–727 (2002)
Arsenault H.H., April G.: Properties of speckle integrated with a finite aperture and logarithmically transformed. J. Opt. Soc. Am. 66, 1160–1163 (1976)
Selesnic, I.W., Baraniuk, R.G., Kingsbury, N.G.: The dual-tree complex wavelet transform. IEEE Signal Process. Mag. 123–151 (2005)
Liu, J., Moulin, P.: Analysis of interscale and intrascale dependencies between image wavelet coefficients. In: Proceedings of IEEE International Conference on Image Process, vol. 1, pp. 669–672
Chang S.G., Yu B., Vetterli M.: Spatially adaptive wavelet thresholding with context modeling for image denoising. IEEE Trans. Image Process. 9, 1522–1531 (2000)
Nikias C.L., Shao M.: Signal Processing with Alpha-Stable Distributions and Applications. Chapman and Hall, London (1994)
Coban, M.Z., Mersereau, R.M.: Adaptive subband viedo coding using bivariate generalized Gaussian distribution model. In: Proceedings of IEEE International Conference on Acoustic, Speech, and Signal Processing, pp. 1990–1993 (1996)
Nolan J.P., Panorska A.K., McCulloch J.H.: Estimation of stable spectral measures. Math. Comput. Model. 34, 1113–1122 (2001)
Pivato M., Seco L.: Estimating the spectral measure of a multivariate stable distribution via spherical harmonic analysis. J. Multivar. Anal. 87, 219–240 (2003)
Rachev S.T., Xin H.: Test for association of random variables in the domain of attraction of multivariate stable law. Probab. Math. Stat. 14, 125–141 (1993)
Nolan, J.P.: Parameter estimation and data analysis for stable distributions. In: Proceedings of IEEE thirty-first asilomar conference on signals, systems, and computers, vol 1, pp 443–447 (1997)
Press W.H., Teukolsky S.A., Vetterling W.T., Flannery B.P.: Numerical recipes in C: the art of scientific computing. Cambridge University Press, Cambridge (1992)
Kullback S.: The Kullback–Leibler distance. Am. Stat. 41, 340–341 (1987)
Donoho D.L., Johnstone I.M.: Ideal spatial adaptation by wavelet shrinkage. Biometrika 81, 425–455 (1994)
Theodoridis S., Koutroumbas K.: Pattern Recognition, 2nd edn. Academic Press, New York (2003)
Achim A., Tsakalides P., Bezerianos A.: SAR image denoising via Bayesian wavelet shrinkage based on Heavy-Tailed modeling. IEEE Trans. Geosci. Remote Sens. 41, 1773–1784 (2003)
Koutrouvelis I.A.: Regression-type estimation of the parameters of stable law. J. Am. Stat. Assoc. 75, 918–928 (1980)
Byczkowski T., Nolan J.P., Rajput B.: Approximation of multidimensional stable densities. J. Multivar. Anal. 46, 13–31 (1993)
Yoe Y., Croitoru M.M., Bidani A., Zwischenberger J.B., Clark J.W.: Nonlinear multiscale wavelet diffiusion for speckle suppression and edge enhancement in ultrasound images. IEEE Trans. Med. Imaging 25, 297–311 (2006)
Sattar F., Floreby L., Salomonsson G., Lovstrom B.: Image enhancement based on a nonlinear multiscale method. IEEE Trans. Image Process. 6, 888–895 (1997)
Loupas T., McDicken W.N., Allan P.L.: An adaptive weighted median filter for speckle suppression in medical ultrasonic images. IEEE Trans. Circuits Syst. 36, 129–135 (1989)
Karaman M., Kutay M.A., Bozdagi G.: An adaptive speckle suppression filter for medical ultrasonic imaging. IEEE Trans. Med. Imaging 14, 283–292 (1995)
Huang Q., Lu M., Zheng Y., Chi Z.: Speckle suppression and contrast enhancement in reconstruction of freehand 3D ultrasound images using an adaptive distance-weighted method. Appl. Acoust. 70, 21–30 (2009)
Adam D., Nissan S.B., Friedman Z., Behar V.: The combined effect of spatial compounding and nonlinear filtering on the speckle reduction in ultrasound images. Ultrasonics 44, 166–168 (2006)
Boubchir L., Fadili J.M.: A closed-form nonparametric Bayesian estimator in the wavelet domain of images using an approximate α-stable prior. Pattern Recogn. Lett. 27, 1370–1382 (2006)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Forouzanfar, M., Moghaddam, H.A. & Gity, M. A new multiscale Bayesian algorithm for speckle reduction in medical ultrasound images. SIViP 4, 359–375 (2010). https://doi.org/10.1007/s11760-009-0126-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11760-009-0126-3