Evaluation of the Interpolation Errors of Tomographic Projection Models

Tomographic reconstruction algorithms perform reconstruction on a discrete grid, assuming a discrete projection model. However, such discrete assumptions bring artifacts into the reconstructed results, we call interpolation error. We compared eight projection models including the Joseph, Siddon or box-beam-integrated methods for analyzing their interpolation errors. We found that by selecting the proper projection model, one can gain significantly better reconstruction quality.

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