Committee Algorithm: An Easy Way to Construct Wavelet Filter Banks

TL;DR

This paper introduces the committee algorithm, a simple method for constructing dual lowpass filters from two easy-to-build filters, enabling the design of diverse wavelet filter banks.

Contribution

The paper presents a novel committee algorithm that simplifies the creation of dual lowpass filters for wavelet filter banks, expanding design possibilities.

Findings

Enables straightforward construction of dual filters from two simple filters

Allows design of a wide variety of wavelet filter banks

Demonstrated with Burt-Adelson's 1-D Laplacian filters

Abstract

Given a lowpass filter, finding a dual lowpass filter is an essential step in constructing non-redundant wavelet filter banks. Obtaining dual lowpass filters is not an easy task. In this paper, we introduce a new method called committee algorithm that builds a dual filter straightforwardly from two easily-constructible lowpass filters. It allows to design a wide range of new wavelet filter banks. An example based on the family of Burt-Adelson's 1-D Laplacian filters is given.