The Foster-Mosher hyperbolic Radon summation curve and the shifted-hyperbola formulation

Shauna Kaye Oppert, R. James Brown

The Foster-Mosher hyperbolic summation curve, or integration path, was chosen somewhat arbitrarily. This note shows that the Foster-Mosher form can be derived as an approximation to, or special case of, the shifted-hyperbolic summation curve. This relationship would account for the enhanced focusing power of the more general shifted-hyperbola summation curve.