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SYMMETRIC EXTENSION FOR TWO-CHANNEL QUINCUNX FILTER BANKS Yi Chen, Michael D. Adams, and Wu-Sheng Lu
 

Summary: SYMMETRIC EXTENSION FOR TWO-CHANNEL QUINCUNX FILTER BANKS
Yi Chen, Michael D. Adams, and Wu-Sheng Lu
Dept. of Elec. and Comp. Eng., University of Victoria, Victoria, BC, CANADA
ABSTRACT
In the case of one-dimensional filter banks, symmetric extension is
a commonly used technique for constructing nonexpansive trans-
forms of finite-length sequences. In this paper, we show how sym-
metric extension can be extended to the case of two-dimensional
filter banks based on quincunx sampling. In particular, we show
how, for filter banks of this type, one can construct nonexpansive
transforms for input sequences defined on arbitrary rectangular re-
gions.
1. INTRODUCTION
The two-dimensional (2-D) two-channel filter bank shown in Fig. 1
can be used to compute a class of transforms that has proven ex-
tremely useful in many image processing applications. Often, such
a filter bank is defined so as to operate on sequences of infinite
extent. In practice, however, we almost invariably deal with se-
quences of finite extent. Therefore, we usually require some means
for adapting filter banks to such sequences. This leads to the well

  

Source: Adams, Michael D. - Department of Electrical and Computer Engineering, University of Victoria
Lu, Wu-Sheng - Department of Electrical and Computer Engineering, University of Victoria

 

Collections: Engineering