L. Fatone, M. C. Recchioni and F. Zirilli, “A Numerical Method for Time Dependent Acoustic Scattering Problems Involving Smart Obstacles and Incoming Waves of Small Wavelengths,” In: B. Nilsson and L. Fishman, Eds., Mathematical Modeling of Wave Phenomena, AIP Conference Proceedings, Khanty-Mansiysk, Vol. 834, 17-22 July 2006, pp. 108-121.

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.