Representing images in ways other than pixels allows for powerful processing. This subject, based on signal processing, requires a mathematical fluency to understand the concepts fully. Many software ...

We prove that suitable wavelets and scaling functions give characterizations and unconditional bases of the weighted Sobolev space Lp,s (w) with Ap or $A_p^{loc ...

The construction of matrix-valued filters for multi-resolution analysis of matrix-valued time-series is studied. Several different designs are explicitly derived corresponding to perfect ...