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, Mariantonia; Pitolli, F. - In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0377-0427. - 367:112467(2020). [10.1016/j.cam.2019.112467]
A family of level-dependent biorthogonal wavelet filters for image compression
COTRONEI, Mariantonia;
2020-01-01
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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