... Extensive literature exists on the wavelet transform and its applications (Meyer 1991, Daubechies 1988, Chui 1992, Meyer 1990, Meyer 1992, Ruskai et al. 1992). ... when the wavelet function is defined by . ... The wavelet coefficients provide a mechanism to extract from the residuals at each iteration only the significant structures. ... is the restored image, which does not contain any noise, and is the final residual which does not contain any structure. is our estimation of the noise . ...

Geomagnetic storms and substorms are a natural hazard similar to hurricanes, floods etc. ... Solar and geomagnetic activity also probably influences the Earth's climate and human health. ... Under southward directed IMF the Earth's magnetosphere is open to input from the solar wind flow. ... Since practical importance of solar wind measurements was recognized, a number of approaches was developed for prediction of the geomagnetic activity basing on the solar wind data. ...

... We describe image compression based on the pyramidal median transform, introduced as an alternative to the use of a wavelet transform. The use of a multiresolution support allows ``protection'' of astronomical objects in the image. ... We describe an approach to astronomical image compression through noise removal. ... We begin by explaining why transforms other than the wavelet transform are important for astronomical image compression. ... Negative Values. ... The image dimensions were . ...

Next: Introduction Up: No Title Previous: References . ... The continuous wavelet transform . ... The discrete wavelet transform . ... Multiresolution Analysis . ... trous algorithm . ... Pyramidal Algorithm with one Wavelet . ... Visualization of the Wavelet Transform . Visualisation of the first class . ... The Wiener-like filtering in the wavelet space . ... Adaptive filtering from the wavelet transform . ... Regularization in the wavelet space . ... TRANSF/WAVE . ... VISUAL/WAVE . ...

... For example, precision of the approximation was calculated for Solar system and 47 Uma star system Kepler orbital elements : Jupiter Saturn 9.537 0.0539 Uranus 19.189 0.0473 Neptune 30.070 0.0086 47 Uma b 2.10 0.032 0.10 3.76 5.83 0.89 47 Uma c 3.60 0 ... rad , rad , rad l, rad 0.0228 1.754 4.801 0.328 0.0434 1.983 5.865 5.591 0.0135 1.291 1.685 2.495 0.0309 2.300 4.636 4.673 Kepler elements for Solar ... Estimation accuracy of disturbing function (h1) expansion is presented. ...

Next: Deconvolution with CLEAN Up: Image Deconvolution Previous: Image Deconvolution . ... The convolution theorem states that the Fourier transform of the sampled distribution (the dirty image, ) is equal to the convolution of the Fourier transform of the true source visibility distribution (the true image, I ) and the Fourier transform of the sampling function (the dirty beam, ): . where indicates convolution, and indicates the Fourier transform. ...