Octave-band Directional Decompositions

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dc.contributor.author Hong, Paul S. en_US
dc.date.accessioned 2005-09-16T15:11:54Z
dc.date.available 2005-09-16T15:11:54Z
dc.date.issued 2005-07-19 en_US
dc.identifier.uri http://hdl.handle.net/1853/7210
dc.description.abstract A new two-dimensional transform is derived and implemented that is able to discriminate with respect to angular and radial frequency. This octave-band directional filter bank (OBDFB) is maximally decimated, has a separable polyphase implmentation, provides perfect reconstruction, and can be implemented in a tree structure allowing for a somewhat arbitrary number of angular and radial divisions. This decomposition is based on the directional filter bank (DFB) and is compared to other transforms with similar properties. Additionally, the OBDFB is used in three applications. Texture segmentation results are provided with comparisons to both decimated and undecimated transforms. With hyperspectral data, the OBDFB is used to increase classification accuracy using texture augmentation and likelihood score combination. Finally, ultrasound despeckling is addressed with respect to real-time implementations, and subjective test results are presented. A non-uniform two-dimensional transform is also designed that is a modified version of the OBDFB. It is rationally sampled and maximally decimated, but it provides both angular and radial frequency passbands from the initial stage instead of making separate divisions like the OBDFB. It also does not create subband boundaries on the principal frequency axes and allows for further decomposition as well. en_US
dc.format.extent 2730664 bytes
dc.format.mimetype application/pdf
dc.language.iso en_US
dc.publisher Georgia Institute of Technology en_US
dc.subject Multidimensional filter banks en_US
dc.subject Directional decompositions
dc.subject 2D wavelets
dc.subject Cortex transform
dc.subject Gabor filters
dc.title Octave-band Directional Decompositions en_US
dc.type Dissertation en_US
dc.description.degree Ph.D. en_US
dc.contributor.department Electrical and Computer Engineering en_US
dc.description.advisor Committee Chair: Mark J. T. Smith; Committee Co-Chair: Russell M. Mersereau; Committee Member: Chris Heil; Committee Member: Faramarz Fekri; Committee Member: Joel Jackson; Committee Member: Paul J. Benkeser en_US

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