Abstract
In recent articles Metz and Pan have introduced a large class of methods for inverting the exponential Radon transform that are parametrized by a function of two variables. We show that when satisfies a certain constraint, the corresponding inversion method uses projection to the range of the transform. The addition of another constraint on makes this projection orthogonal with respect to a weighted inner product. Their quasi-optimal algorithm uses the projection that is orthogonal with respect to the ordinary inner product.
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