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Construction of Finite Non-separable Orthogonal Filter Banks with Linear Phase and Its Application in Image Segmentation

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Wavelet Analysis and Its Applications (WAA 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2251))

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Abstract

In [7], a large class of bi-variate finite orthogonal wavelet filters was constructed. In this paper, we propose a more general expression of the filter bank with linear phase which is called standard method. Beside this, a non-standard method is also presented. A interesting example is also given. By using this non-separable wavelet filter bank, we present a novel method of segmenting a image into two parts: one part is texture with special property and another part is image of piecewise smooth in some sense.

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References

  1. I. Daubechies, Ten Lectures on Wavelets, CBMS, 61,SIAM, Philadelphia, 1992.

    Google Scholar 

  2. Wenjie He and Mingjun Lai, Construction of Bivariate Compactly supported Biorthogonal Box Spline Wavelets with Arbitrarily High Regularities, Applied Comput. Harmonic Analysis, 6(1999) 53–74.

    Article  MATH  MathSciNet  Google Scholar 

  3. Wenjie He and Mingjun Lai, Examples of Bivariate Nonseparable Compactly Supported Orthonormal Continuous Wavelets, Wavelet Applications in Signal and Image Processing IV, Proceedings of SPIE, 3169(1997) 303–314.

    Google Scholar 

  4. J. Kovacevic and M. Vetterli, Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for R n, IEEE Tran. on Information Theory, 38, 2(1992) 533–555.

    Article  MathSciNet  Google Scholar 

  5. S. Mallat, Review of Multifrequency Channel Decomposition of Images and Wavelet Models, Technical report 412, Robotics Report 178, New York Univ., (1988).

    Google Scholar 

  6. Y. Meyer, Principe d’incertitude, Bases hilbertiennes et algebres d’oper-ateurs, Seminaire Bourbaki 662, 1985–86, Asterisque (Societe Mathematique de France).

    Google Scholar 

  7. Silong Peng, Construction of Two Dimensional Compactly Supported Orthogonal Wavelet Filters with Linear Phase, (to appear in ACTA Mathematica Sinica), (1999).

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  8. Silong Peng, Characterization of Separable Bivariate Orthonormal Compactly Supported Wavelet Basis, (to appear in ACTA Mathematica Sinica), (1999).

    Google Scholar 

  9. Silong Peng, N dimensional Compactly Supported Orthogonal Wavelet Filters, (to appear in J. of Computational Mathematics), (1999).

    Google Scholar 

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© 2001 Springer-Verlag Berlin Heidelberg

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Chen, H., Peng, S. (2001). Construction of Finite Non-separable Orthogonal Filter Banks with Linear Phase and Its Application in Image Segmentation. In: Tang, Y.Y., Yuen, P.C., Li, Ch., Wickerhauser, V. (eds) Wavelet Analysis and Its Applications. WAA 2001. Lecture Notes in Computer Science, vol 2251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45333-4_28

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  • DOI: https://doi.org/10.1007/3-540-45333-4_28

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43034-6

  • Online ISBN: 978-3-540-45333-8

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