Design and analysis of directional 2D nonseparable perfect            reconstruction filter banks for subband coding of images and video     signals

Chang-Lin Huang; Chen-Chang Lien

doi:10.1117/12.131491

1 November 1992 Design and analysis of directional 2D nonseparable perfect reconstruction filter banks for subband coding of images and video signals

Chang-Lin Huang, Chen-Chang Lien

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Proceedings Volume 1818, Visual Communications and Image Processing '92; (1992) https://doi.org/10.1117/12.131491
Event: Applications in Optical Science and Engineering, 1992, Boston, MA, United States

Abstract

In this paper, we develop a directional 2-D non-separable filter bank which can perform the perfect reconstruction of the downsampled subband signals. The filter bank represents a union of two powerful image and video processing tools: directional decomposition and subband decomposition. This subband decomposition is implemented by: (1) shifting the input signal and the subband signals; (2) using a tree-structure diamond shape prefilter followed by downsampling on quincunx grids; and (3) applying four types parallelogram prefilters followed by four different downsampling matrices respectively. This paper addresses the design and implementation of two-channel filter banks for such applications. The two-band subsystem in the tree-structure filter bank is proved and analyzed to be able to provide perfect reconstruction of the downsampled subband signals. Our method is extremely computationally simple in designing the analysis/synthesis subfilters for the filter bank without using any nonlinearly constrained numerical optimization. Finally, we use conventional 1-D analysis/synthesis filters as prototype and then apply McClellan transform for the specific 2-D diamond shape and parallelogram shape sub-filters.

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Chang-Lin Huang and Chen-Chang Lien "Design and analysis of directional 2D nonseparable perfect reconstruction filter banks for subband coding of images and video signals", Proc. SPIE 1818, Visual Communications and Image Processing '92, (1 November 1992); https://doi.org/10.1117/12.131491

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KEYWORDS

Image filtering

Optical filters

Diamond

Digital filtering

Electronic filtering

Signal processing

Image processing

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