Balanced Multiresolution for Symmetric/Antisymmetric Filters
Date
2014-05-13
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Abstract
Given a set of symmetric/antisymmetric filter vectors containing only regular multiresolution filters, the method we
present in this article can establish a balanced multiresolution scheme for images, allowing their balanced decomposition
and subsequent perfect reconstruction without the use of any extraordinary boundary filters. We define balanced
multiresolution such that it allows balanced decomposition i.e. decomposition of a high-resolution image into
a low-resolution image and corresponding details of equal size. Such a balanced decomposition makes on-demand
reconstruction of regions of interest efficient in both computational load and implementation aspects. We find this
balanced decomposition and perfect reconstruction based on an appropriate combination of symmetric/antisymmetric
extensions near the image and detail boundaries. In our method, exploiting such extensions correlates to performing
sample (pixel/voxel) split operations. Our general approach is demonstrated for some commonly used symmetric
/antisymmetric multiresolution filters. We also show the application of such a balanced multiresolution scheme in
real-time focus+context visualization.
Description
Keywords
multiresolution, reverse subdivision, balanced decomposition, perfect reconstruction, lossless reconstruction