The Study of Binary Steering Algorithms in Discrete Tomography

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.

Name thesis:degree_name

Master of Science in Mathematics (M.S.)

Level thesis:degree_level

Thesis (open access)

Discipline thesis:degree_discipline

Department of Mathematical Sciences

Year dc:date.available

2010

Author dc:creator

• Cole, Brittany A.

Contributors dc:contributor

• Jiehua Zhu
• Yan Wu

• ETD
• Binary steering
• Discrete tomography
• Medical imaging
• Projections
• Reconstruction methods
• Algorithms
• Tomography
• Geometric tomography

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd/658

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd-1658