Mathematical Aspects of Image Processing
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.
Kirk, Samantha. (January 2014). Mathematical Aspects of Image Processing (Master's Thesis, East Carolina University). Retrieved from the Scholarship. (http://hdl.handle.net/10342/4406.)
Kirk, Samantha. Mathematical Aspects of Image Processing. Master's Thesis. East Carolina University, January 2014. The Scholarship. http://hdl.handle.net/10342/4406. October 03, 2023.
Kirk, Samantha, “Mathematical Aspects of Image Processing” (Master's Thesis., East Carolina University, January 2014).
Kirk, Samantha. Mathematical Aspects of Image Processing [Master's Thesis]. Greenville, NC: East Carolina University; January 2014.
East Carolina University