We provide fast and accurate adaptive algorithms for the spatial resolution of current densities in MEG. We assume that vector components of the current densities possess a sparse expansion with respect to preassigned wavelets. Additionally, different components may also exhibit common sparsity patterns. We model MEG as an inverse problem with joint sparsity constraints, promoting coupling of n...

Traditional image denoising methods, which do not depend on data training, have good interpretability. However, traditional methods hardly achieve the effect of deep learning methods. Based processing techniques, this paper proposes a new hybrid model. The block-batching and 3-D filtering (BM3D) algorithm is used to obtain first denoised image. weighted kernel norm minimization (WNNM) non-subsa...

This paper demonstrates the application of the Bionic Wavelet Transform (BWT), an adaptive wavelet transform derived from a nonlinear auditory model of the cochlea, to the task of speech signal enhancement. Results, measured objectively by Signal-to-Noise ratio (SNR) and Segmental SNR (SSNR) and subjectively by Mean Opinion Score (MOS), are given for additive white Gaussian noise as well as fou...

In this paper, we apply a knowledge-based segmentation method developed for still and video images to the problem of tracking missiles and high speed projectiles. Since we are only interested in segmenting a portion of the missile (namely, the nose cone), we use our segmentation proceclure as a method of adapting thresholding. The key idea is to utilize a priori knowledge about the objects pres...

We present a method for binarization of degraded call number images. Based on the texture feature of the character stroke, the algorithm initially detects the character pixels to determine the size of the local area and compute the logical thresholding level. Experimental results prove the effectiveness of the method. key words: call number, degraded image, image binarization, image segmentatio...

Recorded geoacoustic signals often contain noise and interference. Their appearance is caused by various reasons, e.g. of propagation environment heterogeneity, weather condition influence, human activity, etc. So, emission a persistent background that changes in intensity over time. This significantly distorts the pulse waveforms thus complicates analysis signal characteristics. The article pr...

This paper deals with density and regression estimation problems for functional data. Using wavelet bases for Hilbert spaces of functions, we develop a new adaptive procedure based on wavelet thresholding. We provide theoretical results on its asymptotic performances.