In projection radiography, size distortion is an artifact that cannot be ignored. Su...

In projection radiography, size distortion is an artifact that cannot be ignored. Suppose the x-ray source is a perfect point source located at origin and the detector plane is the x = d plane. A ball centered on the x-axis between the source and the detector plane is imaged by the system. Assuming that the radius of the ball is derive the relation between the radius R of the image of the ball on the detector plane and the location of the ball. If the source-detector distance is fixed, what measure(s) can be taken to reduce the size distortion? What is the smallest ratio R/r that can be achieved?