On Construction of Filters and Mask Functions in Quaternion Multi Resolution Analysis and Application in Video Image Processing

Abstract

In the current  paper  through the Quaternion algebra over H and its matrix representation, we construct  the quaternion scaling  functions and their related   wavelets. Then we compute their  mask functions and filters, which are wellknown and applicable  in many areas  such as quantum mechanics, signal processing, image processing. Also they have a width range use in video image processing.