Wavelets are mathematical tools for hierarchically decomposing functions. Wavelet Transform has been proved to be a very useful tool for image processing in recent years. It allows a function which may be described in terms of a coarse overall shape, plus details that range from broad to narrow. The most distinctive feature of Haar Transform lies in the fact that it lends itself easily to simpl...

Abstract. In the paper, a new original procedure for the evaluation of discrete Haar spectra for separate fragments (blocks) of a digital image is proposed. The procedure explores specific properties of Haar wavelets, refers to the assumption that Haar spectrum of the whole image is known, and is much faster than direct evaluation of Haar spectral coefficients for the respective image blocks. I...

A Haar wavelet collocation method (HWCM) is presented for the solution of Riccati equation subject to two-point and integral boundary condition. The qua?silinearization technique applied linearized then with condition solved by converting into system algebraic help wavelets. We have considered three different form Reccati equation, two having one numerical results obtained HWCM are stable, effi...

There is an apparent renewed interest in application of the Haar wavelet transform in switching theory and logic design.1–6 In particular, the discrete Haar transform appears very interesting for its wavelets-like properties and fast calculation algorithms. The applications have been found in circuit synthesis, verification and testing.1–9 For applications of the Haar transform in logic design,...

in this paper, we develop an efficient legendre wavelets collocation method for well known time-fractional heat equation. inthe proposed method, we apply operational matrix of fractionalintegration to obtain numerical solution of the inhomogeneoustime-fractional heat equation with lateral heat loss and dirichletboundary conditions. the power of this manageable method isconfirmed. moreover, the ...

This paper studies the connections between discrete two-dimensional schemes for shift-invariant Haar wavelet shrinkage on one hand, and nonlinear diffusion on the other. We show that using a single iteration on a single scale, the two methods can be made equivalent by the choice of the nonlinearity which controls each method: the shrinkage function, or the diffusivity function, respectively. In...

Drought forecasting is essential for risk management and preparedness of drought mitigation measures. The present study aims to evaluate the effectiveness proposed hybrid technique regional forecasting. Multiple Linear Regression (MLR), Artificial Neural Network (ANN), two wavelet techniques, namely, Discrete Wavelet Transform (DWT) Packet (WPT), were evaluated in up a lead time six months. Sta...

The representation of a general Calder\'on--Zygmund operator in terms dyadic Haar shift operators first appeared as tool to prove the $A_2$ theorem, and it has found number other applications. In this paper we new theorem by using smooth compactly supported wavelets place functions. A key advantage is that achieve faster decay expansion when kernel additional smoothness.

This thesis is a theorical and numerical contribution to wavelet transform in image processing and surface computing. Group theory approach, multiresolution approach and lters banc approach of wavelets basis are reviewed. The wavelet transform applications concern image compression, discrete curve representation and surface approximation by radial functions. We begin by reviewing di erent image...