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research-article

A family of level-dependent biorthogonal wavelet filters for image compression

Published: 15 March 2020 Publication History

Abstract

In this work we explore the construction and the applications of a special family of level-dependent biorthogonal filters, i.e. filters whose taps depend on the scaling level. Such a family is generated from a class of functions all related through level-dependent (or nonstationary) refinement equations, which contains cardinal polynomial B-splines as a particular case. The greater flexibility offered by the nonstationarity of these filters allows to achieve better results in some image processing problems, such as image compression, when compared to classical biorthogonal B-spline filters.

References

[1]
Cotronei M., Sissouno N., A note on Hermite multiwavelets with polynomial and exponential vanishing moments, Appl. Numer. Math. 120 (2017) 21–34.
[2]
Gori L., Pitolli F., Multiresolution analyses originated from nonstationary subdivision schemes, J. Comput. Appl. Math. 221 (2008) 406–415.
[3]
Vonesch C., Blu T., Unser M., Generalized Daubechies wavelet families, IEEE Trans. Signal Process. 55 (2007) 4415–4429.
[4]
Pitolli F., Bell-shaped nonstationary refinable ripplets, Adv. Comput. Math. 42 (2016) 1427–1451.
[5]
Dyn N., Levin D., Subdivision schemes in geometric modelling, Acta Numer. (2002) 1–72.
[6]
Conti C., Gori L., Pitolli F., Totally positive functions through nonstationary subdivision schemes, J. Comput. Appl. Math. 200 (2007) 255–265.
[7]
L. Gori, F. Pitolli, Nonstationary subdivision schemes and totally positive refinable functions, in Approximation Theory XII: San Antonio 2007, M. Neamtu and L.L. Schumaker (eds.), 169–180 (2008).
[8]
Gori L., Pitolli F., A class of totally positive refinable functions, Rend. Mat. Appl. (7) 20 (2000) 305–322.
[9]
Cohen A., Daubechies I., Feauveau J.-C., Biorthogonal bases of compactly supported wavelets, Comm. Pure Appl. Math. 45 (1992) 484–560.
[10]
Cotronei M., Lo Cascio M.L., A method for the construction of families of biorthogonal filters with prescribed properties, Adv. Comput. Math. 17 (2002) 199–210.
[11]
Said A., Pearlman W.A., A new, fast, and efficient image codec based on set partitioning in hierarchical trees, IEEE Trans. Circuits Syst. Video Technol. 6 (1996) 243–250.
[12]
Bruni V., Piccoli B., Vitulano D., Time scale dependencies for image compression, J. Multimed. 1 (2006) 44–55.
[13]
Bruni V., Piccoli B., Vitulano D., A fast computation method for time-scale signal denoising, Signal Image Video Process. 3 (2009) 63–83.
[14]
Wang Z., Bovik A.C., Sheikh H.R., Simoncelli E.P., Image quality assessment: From error visibility to structural similarity, IEEE Trans. Image Process. 16 (2004) 600–612.

Cited By

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  • (2024)BlinQS: Blind quality scalable image compression algorithm without using PCRD optimizationMultimedia Tools and Applications10.1007/s11042-023-15454-283:2(5251-5275)Online publication date: 1-Jan-2024
  • (2024)Safety evaluation of hydrogenation station based on biorthogonal B-spline wavelet vector machine optimized by improved lion swarm algorithmSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-023-09550-628:9-10(6801-6808)Online publication date: 1-May-2024

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Information & Contributors

Information

Published In

cover image Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics  Volume 367, Issue C
Mar 2020
577 pages

Publisher

Elsevier Science Publishers B. V.

Netherlands

Publication History

Published: 15 March 2020

Author Tags

  1. 65T60
  2. 65D15
  3. 41A05

Author Tags

  1. Level-dependent multiresolution analysis
  2. Biorthogonal wavelets
  3. Nonstationary subdivision
  4. Image compression

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Cited By

View all
  • (2024)BlinQS: Blind quality scalable image compression algorithm without using PCRD optimizationMultimedia Tools and Applications10.1007/s11042-023-15454-283:2(5251-5275)Online publication date: 1-Jan-2024
  • (2024)Safety evaluation of hydrogenation station based on biorthogonal B-spline wavelet vector machine optimized by improved lion swarm algorithmSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-023-09550-628:9-10(6801-6808)Online publication date: 1-May-2024

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