Publication Date

12-6-2020

Document Type

Article

First Advisor

Geline, Michael

Degree Name

B.S. (Bachelor of Science)

Department

Department of Mathematical Sciences

Abstract

Pure mathematics topics have widely been regarded as having few practical applications; however, over time, many applications have arisen. One such application is using the quaternions, an abstract algebraic structure and extension of the complex number system, to enhance image quality. Quaternion numbers take the form z = a + bi + cj + dk, where a, b, c, d are real numbers, and i, j, k are distinct square roots of −1. By having three distinct square roots of −1, rather than just one (as in the standard complex number system), unique mathematical properties and practical uses arise. Quaternions have often been used in various aspects of imaging, including improving quality. In this project, we focus on improving image quality, using Fourier transforms.

Extent

7 pages

Language

eng

Publisher

Northern Illinois University

Rights Statement

In Copyright

Rights Statement 2

NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.

Media Type

Text

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