System Analysis and Reconstruction Algorithm for the Strip-Based Projection Model in Discrete Tomography
Document Type
Presentation
Presentation Date
10-16-2008
Abstract or Description
Discrete tomography deals with image reconstruction of an object with a finitely many gray levels (such as two). The strip-based projection model is more realistic to model the raw detector reading in some applications than the line-based projection models. In this talk we will analyze the linear system generated by the strip-based projection model and establish equivalence between the system matrices generated by the strip-based and line-based projection models. An algebraic algorithm for binary image reconstruction will be presented too. This new algorithm applies the singular value decomposition and the Moore-Penrose inverse of a rank modified matrix. Numerical experiments demonstrate the efficiency of our algorithm. This is a joint work with Dr. Jiehu Zhu at Georgia southern University, Prof. Yangbo Ye at University of Iowa, and Prof. Ge Wang at Virginia Tech.
Sponsorship/Conference/Institution
Conference on the Occasion of Richard Varga's 80th Birthday
Location
Kent, OH
Recommended Citation
Li, Xiezhang, Jiehua Zhu, Yangbo Ye, Ge Wang.
2008.
"System Analysis and Reconstruction Algorithm for the Strip-Based Projection Model in Discrete Tomography."
Department of Mathematical Sciences Faculty Presentations.
Presentation 270.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/270
