Filtering for image reconstruction from projections

We describe a method of determining a filter that will suppress the ringing effect in the digital image reconstruction from projections. The method considers a point spread function for the image reconstruction. A set of simultaneous equations relating the filter function to the point spread function is derived. The solution of these equations by the projection method gives the filter. The filter derived is immediately applicable to the algorithm of the filtered back projection method. Some examples of the image reconstruction with apodization filters are shown by computer simulation.

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