As a rapidly growing, multidisciplinary field of mathematics, wavelet theory provides the
major mathematical multiscale representation for analyzing functions/data and has …

Multi-modal medical image fusion, as a powerful tool for the clinical applications, has
developed with the advent of various imaging modalities in medical imaging. The main …

In medical imaging, positron emission tomography (PET) shows metabolic changes of an
organism in pseudo color and magnetic resonance (MR) imaging presents anatomical …

This paper describes a new set of dyadic wavelet frames with two generators. The
construction is simple, yet the wavelets cover the time-frequency plane in an arrangement …

A reliable detection of partial discharges (PDs) in the insulation system of electrical
machines is essential to prevent premature breakdowns. Wavelet filters (WFs) are often …

Identifying and characterizing flame fronts is the most common task in the computer-assisted
analysis of data obtained from imaging techniques such as planar laser-induced …

Let ϕ be a compactly supported symmetric real-valued refinable function in L2 (R) with a
finitely supported symmetric real-valued mask on Z. Under the assumption that the shifts of ϕ …

In this article, we construct compactly supported multivariate pairs of dual wavelet frames,
shortly called bi-frames, for an arbitrary dilation matrix. Our construction is based on the …

To achieve superior image reconstruction, this paper investigates a hybrid regularizers
model for image denoising and deblurring. This approach closely incorporates the …

In this paper, a novel image fusion algorithm based on framelet transform is presented. The
core idea is to decompose all the images to be fused into low and high-frequency bands …