Mathematical Aspects of Image Processing
- ECU Author/Contributor (non-ECU co-authors, if there are any, appear on document)
- Samantha Kirk (Creator)
- Institution
- East Carolina University (ECU )
- Web Site: http://www.ecu.edu/lib/
Abstract: 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.
Additional Information
- Publication
- Thesis
- Language: English
- Date: 2023
- Subjects
- Mathematics;Transform
| Title | Location & Link | Type of Relationship |
| Mathematical Aspects of Image Processing | http://hdl.handle.net/10342/4406 | The described resource references, cites, or otherwise points to the related resource. |