Date of Award
7-16-2007
Degree Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics and Statistics
First Advisor
Marina Arav - Chair
Second Advisor
Frank Hall
Third Advisor
Zhongshan Li
Fourth Advisor
Michael Stewart
Fifth Advisor
Saeid Belkasim
Abstract
The Singular Value Decomposition is one of the most useful matrix factorizations in applied linear algebra, the Principal Component Analysis has been called one of the most valuable results of applied linear algebra. How and why principal component analysis is intimately related to the technique of singular value decomposition is shown. Their properties and applications are described. Assumptions behind this techniques as well as possible extensions to overcome these limitations are considered. This understanding leads to the real world applications, in particular, image processing of neurons. Noise reduction, and edge detection of neuron images are investigated.
DOI
https://doi.org/10.57709/1059687
Recommended Citation
Renkjumnong, Wasuta -., "SVD and PCA in Image Processing." Thesis, Georgia State University, 2007.
doi: https://doi.org/10.57709/1059687