Tomography of Non-convex Polygons from a Single Point X-ray

When the x-ray of an object is taken, an x-ray of known intensity is emitted from an x-ray source and then the intensity is measured at a sensor. The decrease in intensity is related to how much \stu " is between the source and the sensor. Mathematically, \how much stu " is along a line is the line integral of a function describing where \stu " is along that line. Tomography is the study of what one can tell about a function just by knowing the line integrals of that function. Fan beam tomography is tomography where integrals along the rays emanating from a point are known. Lam and Solmon [3] have reconstructed convex polygons away from the source of the x-ray. We seek to expand this technique to nonconvex polygons.