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Hermite Foveation
 Proceedings Int. Conference Graphicon 2004, Moscow
, 2004
"... A foveated image is a nonuniform resolution image whose resolution is highest at a point (fovea), but falls off away from the fovea. In this paper we shall consider foveation, based on new projection scheme of image preprocessing. It is based on an expansion into series of eigenfunctions of the Fou ..."
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A foveated image is a nonuniform resolution image whose resolution is highest at a point (fovea), but falls off away from the fovea. In this paper we shall consider foveation, based on new projection scheme of image preprocessing. It is based on an expansion into series of eigenfunctions of the Fourier transform.
Streaming Waveform Data Processing by Hermite Expansion for TextIndependent Speaker Indexing from Continuous Speech
 Proceedings Int. Conference Graphicon 2002, Nizhny Novgorod
, 2002
"... In this paper we shall consider the new projection scheme of streaming waveform data processing for textindependent speaker indexing from continuous speech. It is based on an expansion into series of eigenfunctions of the Fourier transform. Partly this scheme can be also used for speech recognition ..."
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In this paper we shall consider the new projection scheme of streaming waveform data processing for textindependent speaker indexing from continuous speech. It is based on an expansion into series of eigenfunctions of the Fourier transform. Partly this scheme can be also used for speech recognition.
Projection Method for the Hankel Transform
"... Аннотация Numerical projection method for the zeroorder Hankel transform inversion for the case of the data given on a finite interval has been developed. The justification of the convergence of the projection method has been done for the general case that also includes the sineFourier transform ..."
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Аннотация Numerical projection method for the zeroorder Hankel transform inversion for the case of the data given on a finite interval has been developed. The justification of the convergence of the projection method has been done for the general case that also includes the sineFourier transform inversion. An inequality on the norms of the zeroth order Laguerre functions has been proved. Efficiency of the method was illustrated with the test data and for the problem of cylindrical distribution function calculation using melt surface layer diffraction data.
Contents lists available at ScienceDirect International Journal of Thermal Sciences
"... journal homepage: www.elsevier.com/locate/ijts A shortcut to inverse Fourier transforms: Approximate reconstruction ..."
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journal homepage: www.elsevier.com/locate/ijts A shortcut to inverse Fourier transforms: Approximate reconstruction
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"... A foveated image is a nonuniform resolution image whose resolution is highest at a point (fovea), but falls off away from the fovea. In this paper we shall consider foveation, based on new projection scheme of image preprocessing. It is based on an expansion into series of eigenfunctions of the Fou ..."
Abstract
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A foveated image is a nonuniform resolution image whose resolution is highest at a point (fovea), but falls off away from the fovea. In this paper we shall consider foveation, based on new projection scheme of image preprocessing. It is based on an expansion into series of eigenfunctions of the Fourier transform.
I "Nauka /Interperiodica" 0210
 Computer Software
, 2003
"... Currently, various timefrequency representations are often used for sound analysis. These representations, on the one hand, are convenient for visible sensation of sound by a human and, on the other hand, can be used for automatically analyzing sound pictures. In this paper, various methods for r ..."
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Currently, various timefrequency representations are often used for sound analysis. These representations, on the one hand, are convenient for visible sensation of sound by a human and, on the other hand, can be used for automatically analyzing sound pictures. In this paper, various methods for representation of sound as twodimensional timefrequency vectors of a fixed dimension and their use for speech and speaker recognition problems are discussed. Probabilistic, distancebased, and neuralnetwork methods for the recognition of these vectors by examples of separate words are considered. Numerical experiments showed that the best among them is the method based on a threelayer neural network, the shorttime Fourier transform, and the twodimensional wavelet transformation. For the speaker recognition problem, a distancebased recognition method employing the adaptive Hermite transform turned out the best among all.