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Article
High-Degree Polynomial Models for CT Simulation
Journal of X-Ray Science and Technology
  • Yingkang Hu, Georgia Southern University
  • Jiehua Zhu, Georgia Southern University
Document Type
Article
Publication Date
1-1-2012
DOI
10.3233/XST-2012-00351
Disciplines
Abstract
The power and flexibility of polynomial surfaces are unleashed when their degrees are no longer restricted to four or lower, as they are used in early CT phantoms. They have proved useful and appropriate for geometric simulation of human and animal anatomy. In this paper a general algorithm is presented for the x-ray transform of any polynomial surface, as long as its ray-surface intersection equation is implemented on the computer. A versatile and powerful polynomial utility C++ class is created to simplify the implementation. Three groups of surfaces are implemented and applied to build a heart phantom closely simulating the Visible Man's heart. The x-ray transform algorithm is tested and verified by the successful reconstruction of the heart phantom.
Citation Information
Yingkang Hu and Jiehua Zhu. "High-Degree Polynomial Models for CT Simulation" Journal of X-Ray Science and Technology Vol. 20 Iss. 4 (2012) p. 447 - 457
Available at: http://works.bepress.com/jiehua_zhu/5/