Affiliations: Department of Mathematical Sciences, Georgia Southern
University, Statesboro, GA, USA
Note: [] Corresponding author: Jiehua Zhu, Department of Mathematical
Sciences, Georgia Southern University, Statesboro, GA 30460, USA. E-mail: jzhu@georgiasouthern.edu
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.
