On the Design of Multi-Dimensional Compactly Supported Parseval Framelets with Directional Characteristics
Information Theory
2019-09-13 v2 math.IT
Abstract
In this paper, we propose a new method for the construction of multi-dimensional, wavelet-like families of affine frames, commonly referred to as framelets, with specific directional characteristics, small and compact support in space, directional vanishing moments (DVM), and axial symmetries or anti-symmetries. The framelets we construct arise from readily available refinable functions. The filters defining these framelets have few non-zero coefficients, custom-selected orientations and can act as finite-difference operators.
Cite
@article{arxiv.1806.08845,
title = {On the Design of Multi-Dimensional Compactly Supported Parseval Framelets with Directional Characteristics},
author = {Nikolaos Atreas and Nikolaos Karantzas and Manos Papadakis and Theodoros Stavropoulos},
journal= {arXiv preprint arXiv:1806.08845},
year = {2019}
}