Identification of Reflected, Scaled, Translated, and Rotated Objects From Their Radon Projections

In this paper, we present a method for identification of binary objects from a given set of radon projections. Given a suitably regular 2D function , we form a new function from f by using the operations of reflection, scaling, translation, and rotation. We show how the radon projections of are related to those of and devise a procedure that can be used to determine the parameters from the radon projections of and . We illustrate this process using a family of block images that include common 7 times 5 pixel representations for the letters A, B, ....., Z.