Degree Name
MS (Master of Science)
Program
Mathematical Sciences
Date of Award
5-2016
Committee Chair or Co-Chairs
Jeff Knisley
Committee Members
Michele Joyner, Robert Gardner
Abstract
A consensus model is a statistical approach that uses a family of signals or in our case, a family of images to generate a predictive model. In this thesis, we consider a family of images that are represented as tensors. In particular, our images are (2,0)-tensors. The consensus model is produced by utilizing the quantum Fourier transform of a family of images as tensors to transform images to images. We write a quantum Fourier transform in the numerical computation library for Python, known as Theano to produce the consensus spectrum. From the consensus spectrum, we produce the consensus model via the inverse quantum Fourier transform. Our method seeks to improve upon the phase reconstruction problem when transforming images to images under a 2-dimensional consensus model by considering images as (2,0)-tensors.
Document Type
Thesis - unrestricted
Recommended Citation
Shelton, Joel A., "Consensus Model of Families of Images using Tensor-based Fourier Analysis" (2016). Electronic Theses and Dissertations. Paper 3038. https://dc.etsu.edu/etd/3038
Copyright
Copyright by the authors.