Browsing Mathematics (Faculty of) by Supervisor "Vrscay, Edward"
Now showing items 1-6 of 6
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Design of Tubular Network Systems Using Circle Packing and Discrete Optimization
(University of Waterloo, 2015-12-10)In this thesis, we describe the design of tubular network systems that must occupy, as best as possible, regions that demonstrate some kind of longitudinal symmetry. In order to simplify the problem, the region of the ... -
An investigation of the use of gradients in imaging, including best approximation and the Structural Similarity image quality measure
(University of Waterloo, 2023-08-18)The L^2-based mean squared error (MSE) and its variations continue to be the most widely employed metrics in image processing. This is most probably due to the fact that (1) the MSE is simple to compute and (2) it possesses ... -
Iterated Function Systems with Place-Dependent Probabilities and the Inverse Problem of Measure Approximation Using Moments
(University of Waterloo, 2016-10-25)The study of iterated function systems has close ties with the subject of fractal-based analysis. One important application is the approximation of a target object by the fixed point of a contractive iterated function ... -
Monte Carlo Simulation of Diffusion Magnetic Resonance Imaging
(University of Waterloo, 2020-01-16)The goal of this thesis is to describe, implement and analyse Monte Carlo (MC) algorithms for simulating the mechanism of diffusion magnetic resonance imaging (dMRI). As the inverse problem of mapping the sub-voxel ... -
A Novel Class of Intensity-based Metrics for Image Functions which Accommodate a Generalized Weber's Model of Perception
(University of Waterloo, 2020-04-29)Even though the usual L2 image fidelity measurements, such as MSE and PSNR, characterize the mean error for each pixel of the images, these traditional measurements are not designed to predict human visual perception of ... -
A Novel Diffusion-based Empirical Mode Decomposition Algorithm for Signal and Image Analysis
(University of Waterloo, 2018-08-09)In the area of signal analysis and processing, the Fourier transform and wavelet transform are widely applied. Empirical Mode Decomposition(EMD) was proposed as an alternative frequency analysis tool. Although shown to ...