In this paper, we explore the use of over-complete spherical wavelets in shape analysis of closed 2D surfaces. Previous work has demonstrated, theoretically and practically, the advantages of overcomplete over bi-orthogonal spherical wavelets. Here we present a detailed formulation of over-complete wavelets, as well as shape analysis experiments of cortical folding development using them. Our e...

In a recent paper, we analyzed the properties of a new kind of spherical wavelets (called needlets) for statistical inference procedures on spherical random fields; the investigation was mainly motivated by applications to cosmological data. In the present work, we exploit the asymptotic uncorrelation of random needlet coefficients at fixed angular distances to construct subsampling statistics ...

As one of the most widespread renewable energy sources, wind is now an important part power system. Accurate and appropriate speed forecasting has essential impact on utilisation. However, due to stochastic uncertain nature energy, more accurate necessary for its stable safer This paper proposes a Legendre multiwavelet-based neural network model non-linear prediction. It combines excellent prop...

A directional spherical wavelet analysis is performed to examine the Gaussianity of the Wilkinson Microwave Anisotropy Probe (WMAP) 1-year data. Such an analysis is facilitated by the introduction of a fast directional continuous spherical wavelet transform. The directional nature of the analysis allows one to probe orientated structure in the data. Significant deviations from Gaussianity are d...

In the production process of strip tandem cold rolling mills, flatness control system is important for improving quality. The efficiency actuators a pivotal factor affecting accuracy. At present, data-driven methods to intelligently identify have become research hotspot. this paper, wavelet transform longitudinal denoising method, combined with genetic algorithm (GA-WT), proposed handle big noi...

In this paper, a novel technique for power amplifier (PA) linearization is presented. The Legendre wavelet neural networks (LWNN) is first utilized to model PA and inverse structure of the PA by applying practical transmission signals and the gradient descent algorithm is applied to estimate the coefficients of the LWNN. Secondly, this technique is implemented to identify and optimize the coeff...

Breast cancer has become the second leading cause of death among women worldwide. In India, a woman is diagnosed with breast every four minutes. There been no known basis behind it, and detection extremely challenging medical scientists researchers due to unknown reasons. ratio being identified in urban areas 22:1. Symptoms for this disease are micro calcification, lumps, masses mammogram image...