Browsing Applied Mathematics by Subject "wavelets"
Now showing items 1-4 of 4
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An Analysis of Stockwell Transforms, with Applications to Image Processing
(University of Waterloo, 2014-04-30)Time-frequency analysis is a powerful tool for signal analysis and processing. The Fourier transform and wavelet transforms are used extensively as is the Short-Time Fourier Transform (or Gabor transform). In 1996 the ... -
Complex Bases, Number Systems and Their Application to Fractal-Wavelet Image Coding
(University of Waterloo, 2002)This thesis explores new approaches to the analysis of functions by combining tools from the fields of complex bases, number systems, iterated function systems (IFS) and wavelet multiresolution analyses (MRA). The ... -
Multi-Resolution Approximate Inverses
(University of Waterloo, 1999)This thesis presents a new preconditioner for elliptic PDE problems on unstructured meshes. Using ideas from second generation wavelets, a multi-resolution basis is constructed to effectively compress the inverse of the ... -
Two- and Three-Dimensional Coding Schemes for Wavelet and Fractal-Wavelet Image Compression
(University of Waterloo, 2001)This thesis presents two novel coding schemes and applications to both two- and three-dimensional image compression. Image compression can be viewed as methods of functional approximation under a constraint on the amount ...