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Quincunx Sampling Method For Improvement of Double-Density Wavelet Transformation  

Lim, Joong Hee (홍익대학교 전자전산학과)
Shin, Jong Hong (한국사이버대학교 정보보안학과)
Publication Information
Journal of Korea Society of Digital Industry and Information Management / v.8, no.1, 2012 , pp. 171-181 More about this Journal
Abstract
This paper introduces the double-density discrete wavelet transform(DWT) using quincunx sampling, which is a DWT that combines the double-density DWT and quincunx sampling method, each of which has its own characteristics and advantages. The double-density DWT is an improvement upon the critically sampled DWT with important additional properties: Firstly, It employs one scaling function and two distinct wavelets, which are designed to be offset from one another by one half. Secondly, the double-density DWT is overcomplete by a factor of two, and Finally, it is nearly shift-invariant. In two dimensions, this transform outperforms the standard DWT in terms of denoising; however, there is room for improvement because not all of the wavelets are directional. That is, although the double-density DWT utilizes more wavelets, some lack a dominant spatial orientation, which prevents them from being able to isolate those directions. A solution to this problem is a quincunx sampling method. The quincunx lattice is a sampling method in image processing. It treats the different directions more homogeneously than the separable two dimensional schemes. Proposed wavelet transformation can generate sub-images of multiple degrees rotated versions. Therefore, This method services good performance in image processing fields.
Keywords
Double-density; Quincunx; Shift Invariance; Directional Selectivity;
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