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Daubechies Filters for 2D Wavelet Transforms

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Rough Sets and Current Trends in Computing (RSCTC 1998)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1424))

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Abstract

The wavelet compression method is one of the most effective techniques of digital image compression. Efficiency of this method strongly depends on the filters used to two-dimensional wavelet transform. The fundamental way of construction of finite impulse response filters was given by I. Daubechies. The paper presents a new proof of the fact that the Daubechies filters satisfy the power complementary condition, which is one of the conditions for perfect image reconstruction.

This work was supported in part by ESPRIT and INCO EC programmes under grant CRIT2

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References

  1. Daubechies, I.: Orthonormal bases of compactly supported wavelets, Comm. Pure Appl. Math. 41 (1988), 909–996.

    Article  MATH  MathSciNet  Google Scholar 

  2. Daubechies, I.: Ten Lectures on Wavelets. SIAM, 1992.

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  3. Graham, R. L., Knuth, D. E., and Patashnik, O.: Concrete Mathematics. A Foundation for Computer Science. Addison-Wesley, Reading, MA, 1994.

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  4. Mallat, S. G.: A Theory for Multiresolution Signal Decomposition: The Wavelet Representation. IEEE Transactions on Pattern Analysis and Machine Intelligence 11, No. 7 (1989), 674–693.

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  5. Rakowski, W.: Wavelet representation of digital images — theory and practice (in Polish). ICS PAS Reports, No. 817, Warsaw, 1996.

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  6. Strang, G., and Nguyen, T.: Wavelets and Filter Banks. Wellesley-Cambridge Press, 1996.

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  7. Vaidyanathan, P.P.: Multirate Systems and Filter Banks. Prentice-Hall, Englewood Cliffs, N.J., 1992.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Instytut Informatyki, Politechnika Białostocka, Wiejska 45, 15-351, Białystok, Poland

    Waldemar Rakowski

  2. Instytut Matematyki i Fizyki, Politechnika Białostocka, Wiejska 45, 15-351, Białystok, Poland

    Zbigniew Bartosiewicz

Authors
  1. Waldemar Rakowski
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  2. Zbigniew Bartosiewicz
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Editor information

Editors and Affiliations

  1. Institute of Mathematics, Warsaw University of Technology, Pl. Politechniki 1, 00-665, Warszawa, Poland

    Lech Polkowski

  2. Institute of Mathematics, Warsaw University, Banacha 2, 02-097, Warszawa, Poland

    Andrzej Skowron

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© 1998 Springer-Verlag Berlin Heidelberg

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Rakowski, W., Bartosiewicz, Z. (1998). Daubechies Filters for 2D Wavelet Transforms. In: Polkowski, L., Skowron, A. (eds) Rough Sets and Current Trends in Computing. RSCTC 1998. Lecture Notes in Computer Science(), vol 1424. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-69115-4_50

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  • DOI: https://doi.org/10.1007/3-540-69115-4_50

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64655-6

  • Online ISBN: 978-3-540-69115-0

  • eBook Packages: Springer Book Archive

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