Topic
Harmonic wavelet transform
About: Harmonic wavelet transform is a research topic. Over the lifetime, 9602 publications have been published within this topic receiving 247336 citations.
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TL;DR: In this article, a method for global Hurst exponent determination based on wavelets was proposed, and the results were compared to those obtained with Fourier spectral analysis when many samples are available.
Abstract: We propose a method for (global) Hurst exponent determination based on wavelets. Using this method, we analyze synthetic data with predefined Hurst exponents, fracture surfaces, and data from economy. The results are compared to those obtained with Fourier spectral analysis. When many samples are available, the wavelet and Fourier methods are comparable in accuracy. However, when one or only a few samples are available, the wavelet method outperforms the Fourier method by a large margin.
252 citations
TL;DR: A fast algorithm based on the Fractional Fourier transform allow accurate evaluation of the Fresnel integral from object to Fraunhofer domain in a single step.
251 citations
251 citations
TL;DR: A novel method for multimodality medical image fusion is proposed using wavelet transform and fusion rule is proposed and used for calculating the wavelet transformation modulus maxima of input images at different bandwidths and levels.
Abstract: Medical image fusion has been used to derive useful information from multimodality medical image data. In this research, we propose a novel method for multimodality medical image fusion. Using wavelet transform, we achieved a fusion scheme. A fusion rule is proposed and used for calculating the wavelet transformation modulus maxima of input images at different bandwidths and levels. To evaluate the fusion result, a metric based on mutual information (MI) is presented for measuring fusion effect. The performances of other two methods of image fusion based on wavelet transform are briefly described for comparison. The experiment results demonstrate the effectiveness of the fusion scheme.
250 citations
TL;DR: The wavelet transform has similarities to the short time Fourier transform (STFT) but partitions the time-frequency space differently in order to obtain better resolutions along time and frequency/scales as discussed by the authors.
248 citations