... 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. ...

... The procedure of radiometer signal integration can be considered as a sort of reducing dimension of the initial sampling space, where the samples are the result of analog-to-digital conversion. ... The probability distribution of the signal and spikes is completely known. ... The quality of the considered algorithm could be also illustrated by Figure 2 . ... One could see the considered adaptive algorithm is preferable even by low degree of compression, because all spikes have been depressed. ...

... For each event in the input list, evproject calculates an X and Y coordinate pair. ... These X and Y coordinate values are stored as 4-byte integers in columns of the event list designated by the parameters xcol and ycol . ... The task calculates a nominally average spacecraft attitude (comprising right ascension and declination of the spacecraft -X axis and the position angle of the spacecraft -Z axis) and stores this in the event list header in keywords RA_PNT , DEC_PNT and PA_PNT . ...

... The SDSS 2.5-m primary mirror is supported in a manner similar to the Apache Point Observatory 3.5-m telescope primary. ... The axial support is provided by 48 air pistons. The pistons have the same diameter thereby applying equal forces with the same air pressure. ... Each group supports a 120њ sector of the mirror. ... Figure 1: CAD drawing showing the 2.5-m primary mirror and the locations of actuators (green circles) These actuators apply forces (10*cos2 N) to correct astigmatism. ...

... We have calculated the binary coalescence rate with time using the ``Scenario Machine'' code, which allows us to simulate evolution of large ensembles of binary stars in an artificial galaxy using a Monte Carlo method (see Lipunov 1992, Lipunov et al 1994, 1995 and references therein). ... The source evolution in a galaxy with given star formation rate is thus calculated as , where is the redshift at the turn-on of star formation, which is the second important parameter of the model. ...

THE PARAMETERS INVOLVED IN HAPKE'S MODEL FOR ESTIMATION OF THE COMPOSITION OF THE EJECTA LUNAR TERRAINS. ... In the previous papers we were estimated the surface roughness of the ejecta lunar terrains by means comparison of the local phase function and the average integrated lunar indicatrix. ... The Hapke's theoretical model of the lunar surface reflection. ... For THE PARAMETERS INVOLVED IN HAPKE'S MODEL: S.G. Pugacheva, V.V. Shevchenko a low-albedo lunar surface parameter Bo = 1. ...