A Hierarchical Wavelet-Based Framework for Pattern Analysis and Synthesis

dc.citation.bibtexNamemastersthesisen_US
dc.citation.journalTitleMasters Thesisen_US
dc.contributor.orgCenter for Multimedia Communications (http://cmc.rice.edu/)en_US
dc.creatorScott, Clayton
dc.date.accessioned2007-10-31T01:04:35Z
dc.date.available2007-10-31T01:04:35Z
dc.date.issued2000-04-20
dc.date.modified2003-07-12en_US
dc.date.submitted2002-10-30en_US
dc.descriptionMasters Thesisen_US
dc.description.abstractDespite their success in other areas of statsitical signal processing, current wavelet-based image models are inadequate for modeling patterns in images, due to the presence of unknown transformations inherent in most pattern observations. In this thesis we introduce a hierarchical wavelet-based framework for modeling patterns in digital images. This framework takes advantage of the efficient image representations afforded by wavelets, while accounting for unknown pattern transformations. Given a trained model, we can use this framework to synthesize pattern observations. If the model parameters are unknown, we can infer them from labeled training data using TEMPLAR, a novel template learning algorithm with linear complexity. TEMPLAR employs minimum description length (MDL) complexity regularization to learn a template with a sparse representation in the wavelet domain. If we are given several trained models for different patterns, our framework provides a low-dimensional subspace classifier that is invariant to unknown pattern transformations as well as background clutter.en_US
dc.identifier.citation "A Hierarchical Wavelet-Based Framework for Pattern Analysis and Synthesis," <i>Masters Thesis,</i> 2000.
dc.identifier.urihttps://hdl.handle.net/1911/20339
dc.language.isoeng
dc.subjectWavelets*
dc.subjectpattern analysis*
dc.subjectMDL*
dc.subject.keywordWaveletsen_US
dc.subject.keywordpattern analysisen_US
dc.subject.keywordMDLen_US
dc.titleA Hierarchical Wavelet-Based Framework for Pattern Analysis and Synthesisen_US
dc.typeThesis
dc.type.dcmiText
thesis.degree.levelMasters
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