Simultaneous multi-component seismic denoising and reconstruction via K-SVD

Quaternion K-SVD for Color Image Denoising

Denoising using the K-SVD Method

Sparse representation of images has been a recent area of growing interest. It finds applications in many problems in image processing. In this report we study a particular method of achieving sparse representation using the recently proposed K-SVD algorithm by Aharon et al. [1] and how this sparse representation framework has been extended to perform denoising, as illustrated by the authors in...

Wavelet Thresholding via MDL : Simultaneous Denoising and

In the context of wavelet denoising and compression, we study minimum description length (MDL) criteria for model selection criteria as exible forms of thresholding. Mixture MDL methods based on a single Laplacian, a two-piece Laplacian, and a generalized Gaussian prior are shown to be adaptive thresholding rules. While achieving mean squared error performance comparable with other popular thre...

Fast, simultaneous and robust VLF-EM data denoising and reconstruction via multivariate empirical mode decomposition

The measurement of Very Low Frequency Electromagnetic (VLF-EM) is important in many different applications, i.e, environmental, archeological, geotechnical studies, etc. In recent years, improving and enhancing VLF-EM data containing complex numbers (bivariate) was presented by several authors in order to produce reliable models, generally using univariate empirical mode decomposition (EMD). Ap...

Seismic data interpolation and denoising using SVD-free low-rank matrix factorization