A tutorial on modern lossy wavelet image compression: foundationsof JPEG 2000
Usevitch, B.E.
Signal Processing Magazine, IEEE
Volume 18, Issue 5, Sep 2001 Page(s):22 - 35
Digital Object Identifier 10.1109/79.952803
Summary:One of the purposes of this article is to give a general audience
sufficient background into the details and techniques of wavelet coding
to better understand the JPEG 2000 standard. The focus is on the
fundamental principles of wavelet coding and not the actual standard
itself. Some of the confusing design choices made in wavelet coders are
explained. There are two types of filter choices: orthogonal and
biorthogonal. Orthogonal filters have the property that there are energy
or norm preserving. Nevertheless, modern wavelet coders use biorthogonal
filters which do not preserve energy. Reasons for these specific design
choices are explained. Another purpose of this article is to compare and
contrast “early” wavelet coding with “modern”
wavelet coding. This article compares the techniques of the modern
wavelet coders to the subband coding techniques so that the reader can
appreciate how different modern wavelet coding is from early wavelet
coding. It discusses basic properties of the wavelet transform which are
pertinent to image compression. It builds on the background material in
generic transform coding given, shows that boundary effects motivate the
use of biorthogonal wavelets, and introduces the symmetric wavelet
transform. Subband coding or “early” wavelet coding method
is discussed followed by an explanation of the EZW coding algorithm.
Other modern wavelet coders that extend the ideas found in the EZW
algorithm are also described
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