Date of Award

2020

Degree Type

Open Access Dissertation

Degree Name

Mathematics, PhD

Program

Institute of Mathematical Sciences

Advisor/Supervisor/Committee Chair

Marina Chugunova

Dissertation or Thesis Committee Member

John Angus

Dissertation or Thesis Committee Member

Ali Nadim

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Rights Information

© 2020 Sean C Matz

Keywords

Filtered Images, Fourier Slice Theorem, Fourier Transform, Image Processing, Orientation Detection, Radon Transform

Subject Categories

Mathematics

Abstract

In this work, the general problem of the detection of features in images is considered. One of the methods, the orientation detection of lines, utilized the Radon transform (sinogram) of an image to detect lines at different angles in an image. The line thickness algorithm was generated by finding a pattern formed by particular lines in an image. The filtering of reconstructed images dealt with the removal of blur and other artifacts that arose in the course of inverting the Radon transform of an image to attempt to obtain the original image.

ISBN

9798645446246

Included in

Mathematics Commons

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