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    Abstract:

    Multiwavelets is a new development to the body of wavelet theory. Multiwavelets simultaneouslly offers orthogonality, symmetry, and short support, which is not possible with scalar two-channel wavelet systems. A new theory and algorithm for speckle reduction of ultrasound (US) image with multiwavelets multiple resolution analysis (MRA) are presented and investigated in this paper. The decomposition ratio and reconstruction error of two kinds of multiwavelets are evaluated and the optimum pre-filters suitable for the two kinds of multiwavelets are obtained. Fully and clearly analytic expression of multiwavelet transformation is given .The experiment of speckle reduction to US image is implemented by choosing local error as threshold. Results show that multiwavelet transformation is useful for speckle reduction and there have little noise and reserve important image features such as boundary when compared to results obtained from existing the denoising methods alone.

    Reference
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    [2]Alpert BK. Wavelets: A Tutorial in Theory and Applications. New York: Academic Press, 1992. 181~216.
    [3]Rieder P, Gotze J, Nossek JA. Multiwavelet transforms based on several scaling functions. In: Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis'94. 1994. 393~396. http://ieeexplore.ieee.org/iel2/3248/ 9799/00467330.pdf.
    [4]Strela V, Heller PN, Strang G, Topiwala P, Heil C. The application of multiwavelet filterbanks to image processing. IEEE Transactions on Image Processing, 1999,8(4):548~563.
    [5]Cotronei M, Montefusco LB, Puccio L. Multiwavelet analysis and signal processing. IEEE Transactions on Circuits and Systems-II, 1998,45(8):970~987.
    [6]Attakitmongcol K, Hardin DP, Wilkes DM. Multiwavelet prefilters-II: Optimal orthogonal prefilters. IEEE Transactions on Image Processing, 2001,10(10):1476~1487.
    [7]Hardin DP, Roach DW. Multiwavelet prefilters-I: Orthogonal prefilters preserving approximation order p(2. IEEE Transactions on Circuits and Systems-II, 1998,45(8):1106~1112.
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刘立庄,卞正中,周秦武.基于多小波分析的超声斑纹噪声抑制方法研究.软件学报,2003,14(9):1551-1557

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History
  • Received:September 24,2002
  • Revised:September 24,2002
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