Mathematical aspects of image processing / by Samantha Kirk.
| Author/creator | Kirk, Samantha author. |
| Other author | Ratcliff, Gail Dawn Loraine, degree supervisor. |
| Other author | East Carolina University. Department of Mathematics. |
| Format | Theses and dissertations |
| Publication | [Greenville, N.C.] : [East Carolina University], 2014. |
| Description | 79 pages : illustrations (some color) |
| Supplemental Content | Access via ScholarShip |
| Subjects |
| Summary | In this thesis, image processing is explored from a mathematical point of view. After defining a digitized image, techniques for adjusting resolution are discussed. Image transformations defined on a neighborhood centered about a pixel and their relationships to convolution are considered. The Fourier transform and the discrete Fourier transform are introduced in both one and two dimensions. Properties of the Fourier transform are demonstrated with analysis of the power spectrum of an image. A degradation model is used to study image restoration, in the cases where distortion is due to noise and motion blur. Other approaches to image restoration employ the processes of inverse and Wiener filtering. |
| General note | Presented to the faculty of the Department of Mathematics. |
| General note | Advisor: Gail Ratcliff. |
| General note | Title from PDF t.p. (viewed July 25, 2014). |
| Dissertation note | M.A. East Carolina University 2014. |
| Bibliography note | Includes bibliographical references. |
| Technical details | System requirements: Adobe Reader. |
| Technical details | Mode of access: World Wide Web. |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |