1 November 1991 Subband decomposition procedure for quincunx sampling grids
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Abstract
Filters with diamond shaped passbands and stopbands are used in image and video processing for several different tasks, one of which is the subband decomposition of signals. This subband decomposition can be carried out in a tree-structured manner by using diamond prefilters followed by downsampling on quincunx grids at each stage. In order to use such a decomposition in hierarchical coding it is desirable to choose the lowpass filter to be a halfband filter so as to limit the amount of aliasing in the low frequency component of the signal at each stage. This paper addresses the design and implementation of a two-channel filter bank for such an application. A special class of one-dimensional (1-D) prototype filters is used to derive the filter banks. The procedure is based on obtaining a halfband filter using a pair of lower order halfband filters. The resulting solutions preserve the exact reconstruction property even when the filter coefficients are quantized, a property which is useful in implementation. Examples of such filter banks are presented.
© (1991) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Chai Wook Kim, Chai Wook Kim, Rashid Ansari, Rashid Ansari, } "Subband decomposition procedure for quincunx sampling grids", Proc. SPIE 1605, Visual Communications and Image Processing '91: Visual Communication, (1 November 1991); doi: 10.1117/12.50252; https://doi.org/10.1117/12.50252
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