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http://dx.doi.org/10.17662/ksdim.2011.7.4.119

Dual-tree Wavelet Discrete Transformation Using Quincunx Sampling For Image Processing  

Shin, Jong Hong (한국사이버대학교 정보보안학과)
Publication Information
Journal of Korea Society of Digital Industry and Information Management / v.7, no.4, 2011 , pp. 119-131 More about this Journal
Abstract
In this paper, we explore the application of 2-D dual-tree discrete wavelet transform (DDWT), which is a directional and redundant transform, for image coding. DDWT main property is a more computationally efficient approach to shift invariance. Also, the DDWT gives much better directional selectivity when filtering multidimensional signals. The dual-tree DWT of a signal is implemented using two critically-sampled DWTs in parallel on the same data. The transform is 2-times expansive because for an N-point signal it gives 2N DWT coefficients. If the filters are designed is a specific way, then the sub-band signals of the upper DWT can be interpreted as the real part of a complex wavelet transform, and sub-band signals of the lower DWT can be interpreted as the imaginary part. The quincunx lattice is a sampling method in image processing. It treats the different directions more homogeneously than the separable two dimensional schemes. Quincunx lattice yields a non separable 2D-wavelet transform, which is also symmetric in both horizontal and vertical direction. And non-separable wavelet transformation can generate sub-images of multiple degrees rotated versions. Therefore, non-separable image processing using DDWT services good performance.
Keywords
Quincunx; Dual-tree; Shift Invariance; Directional Selectivity;
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