Phase-contrast CT: fundamental theorem and fast image reconstruction algorithms

Andrei V. Bronnikov

doi:10.1117/12.679389

7 September 2006 Phase-contrast CT: fundamental theorem and fast image reconstruction algorithms

Andrei V. Bronnikov

Proceedings Volume 6318, Developments in X-Ray Tomography V; 63180Q (2006) https://doi.org/10.1117/12.679389
Event: SPIE Optics + Photonics, 2006, San Diego, California, United States

Abstract

Phase-contrast x-ray computed tomography (CT) is an emerging imaging technique that can be implemented at third generation synchrotron radiation sources or by using a microfocus x-ray tube. Promising experimental results have recently been obtained in material science and biological applications. At the same time, the lack of a mathematical theory comparable to that of conventional absorption-based CT limits the progress in this field. We suggest such a theory and prove a fundamental theorem that plays the same role for phase-contrast CT as the Fourier slice theorem does for absorption-based CT. The fundamental theorem allows us to derive fast image reconstruction algorithms in the form of filtered backprojection (FBP).

Citation Download Citation

Andrei V. Bronnikov "Phase-contrast CT: fundamental theorem and fast image reconstruction algorithms", Proc. SPIE 6318, Developments in X-Ray Tomography V, 63180Q (7 September 2006); https://doi.org/10.1117/12.679389

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