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Summary: Generalized Reversible Integer-to-Integer Transform Framework
Michael D. Adams
Dept. of Elec. and Comp. Engineering, University of Victoria, Victoria, BC, V8W 3P6, CANADA
E-Mail: mdadams@ece.uvic.ca
Abstract-- The generalized reversible ITI transform (GRITIT) frame-
work, a single unified framework for reversible ITI wavelet/block trans-
forms, is proposed. The relationship between the GRITIT framework
and several previously proposed frameworks is also examined.
I. INTRODUCTION
To date, several frameworks have been proposed for constructing
reversible integer-to-integer (ITI) wavelet transforms, including the
S+P-transform [1], lifting [2], and overlapping-rounding-transform
(ORT) [3] frameworks. Although these frameworks share a number of
common ideas, each framework also has its own distinctive features.
Thus, no single one of these frameworks can be used to describe all
of the others. This state of affairs, however, is rather unfortunate, as
a single unified framework for reversible ITI transforms would be
highly beneficial. Having such a tool at our disposal, we could more
easily analyze different frameworks and their interrelationships.
In this paper, we propose the generalized reversible ITI transform
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