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.
A family of level-dependent biorthogonal wavelet filters for image compression / Bruni, V.; Cotronei, M.; Pitolli, F.. - In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0377-0427. - 367:(2020), p. 112467. [10.1016/j.cam.2019.112467]
A family of level-dependent biorthogonal wavelet filters for image compression
Bruni V.;Pitolli F.
2020
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.| File | Dimensione | Formato | |
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BCP_NonStationary_final.pdf
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