Multiscale signal-to-noise thresholding

Freeden, W. and Michel, V. and Stenger, M. (2001) Multiscale signal-to-noise thresholding. Acta Geodaetica et Geophysica Hungarica, 36 (1). pp. 55-86. ISSN 1217-8977

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Abstract

The basic idea behind selective multiscale reconstruction of functions from error- afiected 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 coeficients at various resolution levels. An attempt is made within a tree algorithm (pyramid scheme) to remove the noise component from each scale coefilient usinga priori statistical information (provided by an error covariance kernel of a Gaussian, stationary stochastic model)

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