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The Reproducing Kernel Function for the Image Space of a Limited Spectrum Wavelet Transform
Journal of Harbin University of Science and Technology, 2017 In order to describe the nature of image space of the wavelet transform and a limited spectrum and decay faster wavelet，this paper uses Shannon scaling function to construct a wavelet function，take advantage of wavelet analysis theory to give the nature ...
DENG Cai-xia, HE Peng, CHEN Xia-xia
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Non-decimated Wavelet Transform for a Shift-invariant Analysis
Trends in Computational and Applied Mathematics, 2018 Due to the ability of time-frequency location, the wavelet transform has been applied in several areas of research involving signal analysis and processing, often replacing the conventional Fourier transform.
Gabriela de Oliveira Nascimento Brassarote +2 more
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, 2001 This review paper is intended to give a useful guide for those who want to apply discrete wavelets in their practice. The notion of wavelets and their use in practical computing and various applications are briefly described, but rigorous proofs of ...
Dremin, I. M. +2 more
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Norm Retrievable Wavelet Systems [PDF]
Sahand Communications in Mathematical AnalysisThis paper focuses on the norm retrieval problem for wavelet transform. The wavelet transform associated with an admissible wavelet is norm retrieval. However, this problem is difficult in special cases, i.e., for wavelet systems. We give some results of
Mahdieh sadat Aghaei +1 more
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True 2-D 5/3 wavelet transform and its application for CT image lossless compression
Dianxin kexue, 2016 Wavelet transform is widely used in the field of digital image processing，and it usually processes image by separating the row and column，which can’t meet the human visual system（HVS）completely.To address this situation，a kind of true 2-D 5/3 wavelet ...
Nini XU, Mingming ZHANG, Jianming WANG
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Wavelet analysis of the multivariate fractional Brownian motion [PDF]
, 2011 The work developed in the paper concerns the multivariate fractional Brownian motion (mfBm) viewed through the lens of the wavelet transform. After recalling some basic properties on the mfBm, we calculate the correlation structure of its wavelet ...
Achard, Sophie +2 more
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Gabor Wavelet Transform in Image Compression
Journal of Kufa for Mathematics and Computer, 2012 In the present paper, an important mathematical transform which is called Gabor transform be used to develop a method for image compression. Gabor transform is a type of wavelet-based transform.
Ali Hassan Al-Fayadh +2 more
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A recursive scheme for computing autocorrelation functions of decimated complex wavelet subbands [PDF]
, 2010 This paper deals with the problem of the exact computation of the autocorrelation function of a real or complex discrete wavelet subband of a signal, when the autocorrelation function (or Power Spectral Density, PSD) of the signal in the time domain (or ...
Aelterman, Jan +3 more
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Enzymatic degradation of biopolymers in amorphous and molten states: mechanisms and applications
FEBS Open Bio, EarlyView.This review explains how polymer morphology and thermal state shape enzymatic degradation pathways, comparing amorphous and molten biopolymer structures. By integrating structure–reactivity principles with insights from thermodynamics and enzyme engineering, it highlights mechanisms that enable efficient polymer breakdown.
Anđela Pustak, Aleksandra Maršavelski
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Continuous and Discrete Wavelet Transforms Associated with Hermite Transform
International Journal of Analysis and Applications, 2020 In this paper, we accomplished the concept of continuous and discrete Hermite wavelet transforms. We also discussed some basic properties of Hermite wavelet transform.
C. P. Pandey, Pranami Phukan
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