Geodesic
Biorthogonal wavelet schemes based on discrete spline interpolation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 4, pp. 537-548 
V. A. Zheludev; A. B. Pevnyi. Biorthogonal wavelet schemes based on discrete spline interpolation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 4, pp. 537-548. http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_4_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Malozemov V. N., Pevnyi A. B., “Diskretnye periodicheskie splainy i ikh vychislitelnye primeneniya”, Zh. vychisl. matem. i matem. fiz., 38:8 (1998), 1235–1246 | MR | Zbl

[2] Strang G., Nguen T., Wavelets and filter banks, Cambridge Press, Wellesley, 1996 | MR | Zbl

[3] Sweldens W., Schröder P., “Building your own wavelets at home”, Wavelets in Computer Graphics, ACM SIGGRAPH Course Notes, 1996

[4] Zheludev V. A., Averbuch A. Z., “A biorthogonal wavelet scheme based on interpolatory splines”, Tools for math. modelling, 99, Proc. Sec. Internat. Conf. (June 14–19, 1999), v. 4, SPTU, St. Petersburg, 1999, 214–231 | MR

[5] Donoho D. L., Interpolating wavelet transform, Preprint 408, Dept. Statistics. Stanford Univ., 1992 | MR

[6] Sweldens W., “The lifting scheme: A custom desing construction of biorthogonal wavelets”, Appl. Comput. Harm. Analys., 3:2 (1996), 186–200 | DOI | MR | Zbl

[7] Petukhov A. P., Vvedenie v teoriyu bazisov vspleskov, SPbTU, SPb, 1999

[8] Skopina M., “Multiresolution analysis of periodic functions”, East J. Approximations, 3 (1997), 203–224 | MR | Zbl

[9] Kappelini V. i dr., Tsifrovye filtry i ikh primenenie, Atomizdat, M., 1983