Haar Wavelet Expansions of Signals and their Applications in Image Processing | Zendy

Shyam Lal | Zendy; K. K. | Zendy; Sarika Keshri | Zendy

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Haar Wavelet Expansions of Signals and their Applications in Image Processing

Author(s) -

Shyam Lal,

K. K.,

Sarika Keshri

Publication year - 2017

Publication title -

international journal of computer applications

Language(s) - English

Resource type - Journals

ISSN - 0975-8887

DOI - 10.5120/ijca2017915317

Subject(s) - computer science , haar , haar wavelet , wavelet , image (mathematics) , artificial intelligence , wavelet transform , computer vision , discrete wavelet transform

In this paper, double wavelet series of a signal f of two variables t1 and t2 using Haar Scaling function Φ(t1, t2) = φ(t1)φ(t2) and Haar Wavelet function Ψ(t1, t2) = ψ(t1)ψ(t2) has been introduced and it has been verified by a number of examples. Several properties of this signal and it’s image have been studied.The significient result of this paper are the decomposition and reconstruction of signals of a single variable t1 and signals of two variables t1 and t2 using Haar Scaling signal as well as Haar Wavelets. General Terms Multiresolution Analysis (MRA), Scaling function, Wavelets, Double Wavelet Series of two variables, Application of Wavelets in Image Processing.

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