## Part1: Spectral and Multiscale Signal-to-Noise Thresholding of Spherical Scalar Fields; Part2: Spectral and Multiscale Signal-to-Noise Thresholding of Spherical Vector Fields

• Abstract: The basic concepts of selective multiscale reconstruction of functions on the sphere from error-affected data is outlined for scalar functions. The selective reconstruction mechanism is based on the premise that multiscale approximation can be well-represented in terms of only a relatively small number of expansion coefficients at various resolution levels. A new pyramid scheme is presented to efficiently remove the noise at different scales using a priori statistical information.

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Author: W. Freeden, T. Maier urn:nbn:de:hbz:386-kluedo-10850 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (237) Preprint English 2001 2001 Technische Universität Kaiserslautern 2001/03/23 Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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