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Applied Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

2016

East Tennessee State University

Fourier Analysis

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Full-Text Articles in Applied Mathematics

Consensus Model Of Families Of Images Using Tensor-Based Fourier Analysis, Joel A. Shelton May 2016

Consensus Model Of Families Of Images Using Tensor-Based Fourier Analysis, Joel A. Shelton

Electronic Theses and Dissertations

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 …