Geodesic
An algorithm with splitting of the wavelet transform of Hermitian cubic splines
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2010), pp. 45-55

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In this paper an implicit method for the decomposition of Hermitian cubic spline wavelets is investigated. A parallel algorithm of the wavelet transform of Hermitian cubic splines has been found as a solution of two three-diagonal systems of linear equations with a dominating principal diagonal by use of splitting with respect to the even and odd mesh points.
Keywords: Hermitian splines, wavelets, relations of decomposition and restoration. 
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     author = {B. M. Shumilov},
     title = {An algorithm with splitting of the wavelet transform of {Hermitian} cubic splines},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {45--55},
     publisher = {mathdoc},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2010_4_a4/}
}
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B. M. Shumilov. An algorithm with splitting of the wavelet transform of Hermitian cubic splines. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2010), pp. 45-55. http://geodesic.mathdoc.fr/item/VTGU_2010_4_a4/