Current Development in Theory and Applications of Wavelets (ISSN: 0973-5607)

Description

The Current Development in Theory and Applications of Wavelets is aimed at to provide an outlet to original research papers in any aspect related to above mentioned topics. Also, critical survey articles on certain concepts in wavelet theory and their impact in the present-day context are welcome. The journal is aware of upcoming developments in this field, and accordingly newer notions and algorithms in the theory of wavelets will be considered on priority basis.
Wavelets and wavelet transforms could show their impact on scientific and technological advancement only after the introduction of multiresolution analysis some three decades back which gave an elegant and brilliant method for creating wavelets. The systematic study of wavelets and wavelet transforms provided efficient and powerful computational tools applicable in various fields of science, engineering and technology. Besides being useful in getting the problems easily handled in different areas of core mathematics such as differential equations, difference equations and integral equations, wavelets and wavelet transforms succeeded in proving their importance in applied branches of mathematics, sampling theory and computer science.
Waves are amongst dominating factors in the study of signal and image processing, nanosciences, nanotechnology, artificial intelligence and medical sciences. Applications of wavelet transforms in these and allied areas were natural. Eventually, on account of applicational demand different variants of wavelet transforms got developed. Some of these are curvelets, contourlets, and shearlets.
Necessity of constructing wavelets on spaces other than the Euclidean spaces got felt. Wavelets were introduced and created by analogously developing the theory of multiresolution analysis on abstract structures such as Hilbert spaces, locally compact abelian groups, p-adic fields and differential manifolds. The study is made both for academic and application purposes. Wavelet sets, Wavelet frames and Wavelet packets are widely studied. Applications are continuously increasing in areas such as Data analysis, Fractal analysis, Spline theory, Neural Network, Medical imaging, and Seismology.