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The Radon transform is a fundamental tool in many areas. For example, in reconstruction of an image from its projections (CT scanning). Although it is situated in the core of many modern physical computations, the Radon transform lacks a coherent discrete definition for 2D discrete images which is algebraically exact, invertible, and rapidly computable. We define a notion of 2D discrete Radon transforms for discrete 2D images, which is based on summation along lines of absolute slope less thandoi:10.1137/060650283 fatcat:4d5rzevp4refvkbahnwegersze