منابع مشابه
Wavelet Transforms Generated by splines
In this paper we design a new family of biorthogonal wavelet transforms that are based on polynomial and discrete splines. The wavelet transforms are constructed via lifting steps, where the prediction and update filters are derived from various types of interpolatory and quasi-interpolatory splines. The transforms use finite and infinite impulse response (IIR) filters and are implemented in a ...
متن کاملWavelet and frame transforms originated from continuous and discrete splines
New classes of diadic and triadic biorthogonal wavelets and wavelet-type frames in signal space are presented. The construction employs interpolatory filters with rational transfer functions that originate from continuous and discrete splines. These filters have linear phase. They are amenable either to fast cascading or parallel recursive implementation. The wavelets are applied to compression...
متن کاملConstruction of Biorthogonal Discrete Wavelet Transforms Using Interpolatory Splines
We present a new family of biorthogonal wavelet and wavelet packet transforms for discrete periodic signals and a related library of biorthogonal periodic symmetric waveforms. The construction is based on the superconvergence property of the interpolatory polynomial splines of even degrees. The construction of the transforms is performed in a “lifting” manner that allows more efficient implemen...
متن کاملOn Image Compression by Biorthogonal Wavelet Transforms Based on Discrete Splines
We present a new family of biorthogonal wavelet transforms and a related library of biorthogonal symmetric wavelets. We employed the interpolatory continuous and discrete splines as a tool for devising a discrete biorthogonal wavelet scheme. The construction is based on the \lifting scheme" presented by Sweldens in [1]. The lifting scheme allows custom design and fast implementation of the tran...
متن کاملFrequency Analysis of Laser-generated Pressure Waves using Wavelet Transforms
This paper deals with the analysis of the pressure wave signals generated in an aluminium-stepped sample. The ultrasonic signals are generated using pulsed Nd-YAG laser and detected using a He-Ne Heterodyne interferometer. The pressure wave signals at constant laser power are recorded at various directions with respect to source laser direction and the intensity of various frequency components ...
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ژورنال
عنوان ژورنال: International Journal of Wavelets, Multiresolution and Information Processing
سال: 2007
ISSN: 0219-6913,1793-690X
DOI: 10.1142/s0219691307001756