Ramm, Alexander G. Finding discontinuities of piecewise-smooth functions. (English) Zbl 1131.65024 JIPAM, J. Inequal. Pure Appl. Math. 7, No. 2, Paper No. 55, 7 p. (2006). Summary: Formulas for stable differentiation of piecewise-smooth functions are given. The data are noisy values of these functions. The locations of discontinuity points and the sizes of the jumps across these points are not assumed known, but found stably from the noisy data. MSC: 65D25 Numerical differentiation Keywords:inequalities; stable differentiation; noisy data; discontinuities; jumps; signal processing; edge detection; piecewise-smooth functions PDFBibTeX XMLCite \textit{A. G. Ramm}, JIPAM, J. Inequal. Pure Appl. Math. 7, No. 2, Paper No. 55, 7 p. (2006; Zbl 1131.65024) Full Text: arXiv EuDML EMIS