Term of Award
Spring 2010
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Xiezhang Li
Committee Member 1
Jiehua Zhu
Committee Member 2
Yan Wu
Abstract
In this research project we will study the binary steering technique in iterative methods for image reconstruction in discrete tomography (DT). We will compare the effectiveness of three common algorithms to solve binary systems. The methods used are the Algebraic Reconstruction Technique (ART), Cimmino (CIM), and Diagonally-Relaxed Orthogonal Projections (DROP) algorithms. These reconstruction algorithms will be transformed into binary reconstruction algorithms through the binary steering technique. A new binary steering technique was developed to improve the convergence of the binary steering algorithms. Numerical experiments were performed to demonstrate these improvements.
Recommended Citation
Cole, Brittany A., "The Study of Binary Steering Algorithms in Discrete Tomography" (2010). Electronic Theses and Dissertations. 658.
https://digitalcommons.georgiasouthern.edu/etd/658
Research Data and Supplementary Material
No
