A general exact reconstruction for cone-beam CT via backprojection-filtration.

Ye, Yangbo; Zhao, Shiying; Yu, Hengyong; Wang, Ge · IEEE Trans Med Imaging · 2005

basic_science · Level V

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Abstract

In this paper, we prove a generalized backprojection-filtration formula for exact cone-beam image reconstruction with an arbitrary scanning locus. Our proof is independent of the shape of the scanning locus, as long as the object is contained in a region where there is a chord through any interior point. As special cases, this generalized formula can be applied with cone-beam scanning along nonstandard spiral and saddle curves, as well as in an n-PI window setting. The algorithmic implementation and numerical results are described to support the correctness of our general claim.

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