Characterization of Metal Artifacts in X‐Ray Computed Tomography

• Published in: Communications on pure and applied mathematics Vol. 70; no. 11; pp. 2191 - 2217
• Main Authors: Park, Hyoung Suk, Choi, Jae Kyu, Seo, Jin Keun
• Format: Journal Article
• Language: English
• Published: New York John Wiley and Sons, Limited 01.11.2017
• Subjects: Boundaries; Computed tomography; Mathematical analysis; Radiography; Radon transformation; Reduction (metal working); Surgical implants; Tomography
• ISSN: 0010-3640; 1097-0312
• DOI: 10.1002/cpa.21680

Metal streak artifacts in X‐ray computerized tomography (CT) are characterized here using the notion of the wavefront set from microlocal analysis. The metal artifacts are caused mainly from the mismatch of the forward model of the filtered back‐projection; the presence of metallic subjects in an imaging subject violates the model's assumption of the CT sinogram data being the Radon transform of an image. The increasing use of metallic implants has increased demand for the reduction of metal artifacts in the field of dental and medical radiography. However, it is a challenging issue due to the serious difficulties in analyzing the X‐ray data, which depends nonlinearly on the distribution of the metallic subject. In this paper, we, for the first time, provide a mathematical analysis to characterize the structure of metal streaking artifacts. The metal streaking artifacts are produced along the line tangent to boundaries of the metal region touching at least two different boundaries. We also found a sufficient condition for the nonexistence of the metal streaking artifacts. © 2017 Wiley Periodicals, Inc.