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The international , Workshop II on Applications of Wavelets to ral problems-IWW2007, Turkey, 1 - 04 June 2007, pp.10-11, (Summary Text)
The wavelets, first mentioned by Haar in 1909, had compact support which means vanish outside of a finite interval. Haar wavelets are not continuously differentiable. In the 1930s, representation of functions using scale-varying basis functions that can vary in scale and conserve energy has been researched by several researchers. Since wavelet is an interesting tool for improving geophysical data, during the last decade it has been applied to geophysical data. Some of the recent applications in geophysics are processing of potential data. Wavelets are mathematical functions which split data into different frequency components and then each component was studied with a resolution matched to its scale. Wavelet transforms have advantages to traditional Fourier methods in analyzing physical situations where the signal contains discontinued and sharp spikes. Wavelet is a time-frequency domain method and can be applied for various scaling and resolution problems. Wavelet with its horizontal, vertical and diagonal components is especially effective in detecting dis-continuities of 2-D images such as borders.
Applied wavelet transform to magnetic data to estimate the boundary of the site. The anomalies on the horizontal, vertical and diagonal detail coefficients are condensed towards the horizontal, vertical and diagonal sides of the body, respectively. The boundaries of the estimated body are obtained when the centers of the anomalies are interconnected.