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Skip to Search Results- 8Wavelets
- 2Classification
- 2Directionality
- 1Ball's integral inequality
- 1Biorthogonal multiwavelets
- 1Compression
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Fall 2010
In this thesis, we investigate Riesz bases of wavelets and their applications to numerical solutions of elliptic equations. Compared with the finite difference and finite element methods, the wavelet method for solving elliptic equations is relatively young but powerful. In the wavelet Galerkin...
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Fall 2010
In this thesis, we develop some new models and efficient algorithms for image denoising. The total variation model of Rudin, Osher, and Fatemi(ROF) for image denoising is considered to be one of the most successful deterministic denoising models. It exploits the non-smooth total variation (TV)...
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Application of continuous wavelet analysis to hyperspectral data for the characterization of vegetation
DownloadFall 2010
This thesis explores the application of continuous wavelet analysis (CWA) to hyperspectral data for the characterization of vegetation at the leaf level. The first study dealt with the spectral detection of green attack damage (pre-visual stress) due to mountain pine beetle (Dendroctonus...
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Fall 2010
In Chapters 1 and 2, we introduce the definition of interpolating refinable function vectors in dimension one and high dimensions, characterize such interpolating refinable function vectors in terms of their masks, and derive their sum rule structure explicitly. We study biorthogonal refinable...
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Data analysis for the classification of gas-liquid and liquid-solid (slurry) flows using digital signal processing
DownloadSpring 2013
The Canadian oil sand industry operates three phase gas-liquid-solid hydrotransport pipelines to transport oil sand ore from mines to processing facilities. This hydrotransport process is critical to downstream separation activities, given the conditioning steps that occur within it: (i) lump...
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Spring 2014
This thesis is mostly based on six papers on selected topics in Asymptotic Geometric Analysis, Wavelet Analysis and Applied Fourier Analysis. The first two papers are devoted to Ball's integral inequality. We prove this inequality via spline functions. We also provide a method for computing all...
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Fall 2015
This thesis concentrates on the construction of directional tensor product complex tight framelets. It uses a complex tight framelet filter bank in one dimension and the tensor product of the one-dimensional filter bank to obtain high-dimensional filter bank. It has a number of advantages over...
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Synchronisation and Wavelet Compression for Background Interference Classification in Wireless Environments
DownloadFall 2017
Dense wireless deployment environments are increasingly facing Radio Frequency (RF) spectrum congestion and increased levels of interference. Addressing the interference will require a distributed decision-making application on wireless nodes, that characterize the state of the channel with...