Multiscale Signal-to-Noise Thresholding

  • The basic idea behind selective multiscale reconstruction of functions from error-affected data is outlined on the sphere. 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. An attempt is made within a tree algorithm (pyramid scheme) to remove the noise component from each scale coefficient using a priori statistical information (provided by an error covariance kernel of a Gaussian, stationary stochastic model).

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Metadaten
Author:W. Freeden, V. Michel, M. Stenger
URN (permanent link):urn:nbn:de:hbz:386-kluedo-10009
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (224)
Document Type:Preprint
Language of publication:English
Year of Completion:2000
Year of Publication:2000
Publishing Institute:Technische Universität Kaiserslautern
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik

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