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

Shauna K. Oppert and 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.

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