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D. Huybrechs and S. Vandewalle, “Composite Quadrature Formulae for the Approximations of Wavelet Coeffi- cients of Piecewise Smooth and Singular Functions,” Journal of Computational and Applied Mathematics, Vol. 180, No. 1, 2005, pp. 119-135. doi:10.1016/j.cam.2004.10.005

has been cited by the following article:

• TITLE: Wavelet Bases Made of Piecewise Polynomial Functions: Theory and Applications

  AUTHORS: Lorella Fatone, Maria Cristina Recchioni, Francesco Zirilli

  KEYWORDS: Approximation Theory, Wavelet Bases, Kernel Sparsification, Image Compression

  JOURNAL NAME: Applied Mathematics, Vol.2 No.2, February 25, 2011

  ABSTRACT: We present wavelet bases made of piecewise (low degree) polynomial functions with an (arbitrary) assigned number of vanishing moments. We study some of the properties of these wavelet bases; in particular we consider their use in the approximation of functions and in numerical quadrature. We focus on two applications: integral kernel sparsification and digital image compression and reconstruction. In these application areas the use of these wavelet bases gives very satisfactory results.