Construction of a Parametric Family of Wavelets and Its Use in Image Processing
Y. I. Bityukov, P.Y. Bityukov · Modelling and Data Analysis · 2023
This article is devoted to the construction of a parametric family of biorthogonal wavelets according to the lifting scheme and subdivision schemes, and the use of such a family in the problem of image rendering when part of the pixel data in the image is missing or overwritten in some way. The parametric family of wavelets provides a parametric family of filters for restoring damaged images. With such a recovery, the desired wavelet is selected not from any general considerations, but from a parametric family in the process of solving an optimization problem.