Characterization of Metal Artifacts in X-Ray Computed Tomography

Hyoung Suk Park, Jae Kyu Choi, Jin Keun Seo

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)2191-2217
Number of pages27
JournalCommunications on Pure and Applied Mathematics
Volume70
Issue number11
DOIs
Publication statusPublished - 2017 Nov

Fingerprint

X-ray Tomography
Computed Tomography
Tomography
Metals
X rays
Computerized Tomography
Computerized tomography
Microlocal Analysis
Filtered Backprojection
Radiography
Implant
Radon Transform
Radon
Wavefronts
Violate
Mathematical Analysis
Wave Front
Tangent line
Nonexistence
Imaging

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

@article{92f3c3de59b5480e8ba0c7352013cff9,
title = "Characterization of Metal Artifacts in X-Ray Computed Tomography",
abstract = "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.",
author = "Park, {Hyoung Suk} and Choi, {Jae Kyu} and Seo, {Jin Keun}",
year = "2017",
month = "11",
doi = "10.1002/cpa.21680",
language = "English",
volume = "70",
pages = "2191--2217",
journal = "Communications on Pure and Applied Mathematics",
issn = "0010-3640",
publisher = "Wiley-Liss Inc.",
number = "11",

}

Characterization of Metal Artifacts in X-Ray Computed Tomography. / Park, Hyoung Suk; Choi, Jae Kyu; Seo, Jin Keun.

In: Communications on Pure and Applied Mathematics, Vol. 70, No. 11, 11.2017, p. 2191-2217.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Characterization of Metal Artifacts in X-Ray Computed Tomography

AU - Park, Hyoung Suk

AU - Choi, Jae Kyu

AU - Seo, Jin Keun

PY - 2017/11

Y1 - 2017/11

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85007543382&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85007543382&partnerID=8YFLogxK

U2 - 10.1002/cpa.21680

DO - 10.1002/cpa.21680

M3 - Article

AN - SCOPUS:85007543382

VL - 70

SP - 2191

EP - 2217

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

SN - 0010-3640

IS - 11

ER -