Now showing items 1-6 of 6

    • An Analysis of Stockwell Transforms, with Applications to Image Processing 

      Ladan, John (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 

      Piché, Daniel Guy (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 ...
    • Learning Filters for the 2D Wavelet Transform 

      Recoskie, Daniel; Mann, Richard (IEEE, 2018)
      We propose a new method for learning filters for the 2D discrete wavelet transform. We extend our previous work on the 1D wavelet transform in order to process images. We show that the 2D wavelet transform can be represented ...
    • Learning Sparse Orthogonal Wavelet Filters 

      Recoskie, Daniel (University of Waterloo, 2018-10-12)
      The wavelet transform is a well studied and understood analysis technique used in signal processing. In wavelet analysis, signals are represented by a sum of self-similar wavelet and scaling functions. Typically, the wavelet ...
    • Multi-Resolution Approximate Inverses 

      Bridson, Robert (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 

      Alexander, Simon (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 ...

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