Characterization of Metal Artifacts in X‐Ray Computed Tomography

Metal streak artifacts in X-ray computerized tomography (CT) are rigorously 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 found that the metal streaking artifacts cause mainly from the boundary geometry of the metal region. The metal streaking artifacts are produced only when the wavefront set of the Radon transform of the characteristic function of a metal region does not contain the wavefront set of the square of the Radon transform. We also found a sufficient condition for the non-existence of the metal streak artifacts.

[1]  Jong Chul Ye,et al.  Sparsity driven metal part reconstruction for artifact removal in dental CT. , 2011, Journal of X-ray science and technology.

[2]  Victor J. Sank,et al.  IMAGE RECONSTRUCTION FROM PROJECTIONS: ***I , 1978 .

[3]  Bent E. Petersen.  Introduction to the Fourier transform & pseudo-differential operators , 1983 .

[4]  Qiu Wang,et al.  A low dose simulation tool for CT systems with energy integrating detectors. , 2013, Medical physics.

[5]  Gary H. Glover,et al.  Compton scatter effects in CT reconstructions , 1982 .

[6]  Xiaochuan Pan,et al.  Reduction of computed tomography metal artifacts due to the Fletcher-Suit applicator in gynecology patients receiving intracavitary brachytherapy. , 2003, Brachytherapy.

[7]  Maarten V. de Hoop,et al.  Seismic imaging with the generalized Radon transform: a curvelet transform perspective , 2009 .

[8]  B. O'neill.  Elementary Differential Geometry , 1966 .

[9]  Najla Megherbi Bouallagu,et al.  A novel intensity limiting approach to Metal Artefact Reduction in 3D CT baggage imagery , 2012, 2012 19th IEEE International Conference on Image Processing.

[10]  Alexander G. Ramm,et al.  Reconstructing singularities of a function from its Radon transform , 1993 .

[11]  E. T. Quinto.  Local algorithms in exterior tomography , 2007 .

[12]  François Treves,et al.  Introduction to Pseudodifferential and Fourier Integral Operators , 1980 .

[13]  Joseph A. O'Sullivan,et al.  Iterative deblurring for CT metal artifact reduction , 1996, IEEE Trans. Medical Imaging.

[14]  David L Donoho,et al.  Compressed sensing , 2006, IEEE Transactions on Information Theory.

[15]  Peter M. Joseph.  Image Noise And Smoothing In Computed Tomography (CT) Scanners , 1977, Other Conferences.

[16]  Luminita A. Vese,et al.  Expectation maximization and total variation-based model for computed tomography reconstruction from undersampled data , 2011, Medical Imaging.

[17]  Beer.  Bestimmung der Absorption des rothen Lichts in farbigen Flüssigkeiten , 1852 .

[18]  Tony F. Chan,et al.  Mathematical Models for Local Nontexture Inpaintings , 2002, SIAM J. Appl. Math..

[19]  Luc Beaulieu,et al.  Correction of CT artifacts and its influence on Monte Carlo dose calculations. , 2007, Medical physics.

[20]  ALEXANDER KATSEVICH.  Cone Beam Local Tomography , 1999, SIAM J. Appl. Math..

[21]  Patrick Dupont,et al.  Reduction of metal streak artifacts in X-ray computed tomography using a transmission maximum a posteriori algorithm , 1999 .

[22]  F Verhaegen,et al.  SpekCalc: a program to calculate photon spectra from tungsten anode x-ray tubes , 2009, Physics in medicine and biology.

[23]  L. Hörmander.  Fourier integral operators. I , 1995 .

[24]  Yi-Fei Pu,et al.  A new CT metal artifacts reduction algorithm based on fractional-order sinogram inpainting. , 2011, Journal of X-ray science and technology.

[25]  L. Shepp,et al.  Maximum Likelihood Reconstruction for Emission Tomography , 1983, IEEE Transactions on Medical Imaging.

[26]  G. Uhlmann,et al.  Nonlocal inversion formulas for the X-ray transform , 1989 .

[27]  S. Crozier,et al.  Synthesizing Dental Radiographs for Human Identification , 2007, Journal of dental research.

[28]  Shiying Zhao,et al.  A wavelet method for metal artifact reduction with multiple metallic objects in the field of view , 2002 .

[29]  E. T. Quinto,et al.  An Introduction to X-ray tomography and Radon Transforms , 2006 .

[30]  Eric Todd Quinto,et al.  Artifacts in Incomplete Data Tomography with Applications to Photoacoustic Tomography and Sonar , 2014, SIAM J. Appl. Math..

[31]  S. Zhao,et al.  X-ray CT metal artifact reduction using wavelets: an application for imaging total hip prostheses , 2000, IEEE Transactions on Medical Imaging.

[32]  Eric Todd Quinto,et al.  Characterization and reduction of artifacts in limited angle tomography , 2013 .

[33]  Thorsten M. Buzug,et al.  Non-equispaced Fourier Transform Vs. Polynomial-Based Metal Artifact Reduction in Computed Tomography , 2008, Bildverarbeitung für die Medizin.

[34]  F. Natterer.  The Mathematics of Computerized Tomography , 1986 .

[35]  Alexander Katsevich,et al.  Local Tomography for the Limited-Angle Problem , 1997 .

[36]  Eric Todd Quinto,et al.  The dependence of the generalized Radon transform on defining measures , 1980 .

[37]  Julia F. Barrett,et al.  Artifacts in CT: recognition and avoidance. , 2004, Radiographics : a review publication of the Radiological Society of North America, Inc.

[38]  David V. Finch,et al.  Microlocal Analysis of the X-Ray Transform with Sources on a Curve , 2003 .

[39]  P. Joseph,et al.  A Method for Correcting Bone Induced Artifacts in Computed Tomography Scanners , 1978, Journal of computer assisted tomography.

[40]  Habib Zaidi,et al.  Reduction of dental filling metallic artifacts in CT-based attenuation correction of PET data using weighted virtual sinograms , 2009, 2009 IEEE Nuclear Science Symposium Conference Record (NSS/MIC).

[41]  E. T. Quinto,et al.  LOCAL SINGULARITY RECONSTRUCTION FROM INTEGRALS OVER CURVES IN R-3 , 2013 .

[42]  Linh V. Nguyen.  How strong are streak artifacts in limited angle computed tomography? , 2014, 1407.3037.

[43]  Thorsten M. Buzug,et al.  Spurious structures created by interpolation-based CT metal artifact reduction , 2009, Medical Imaging.

[44]  A. C. Riddle,et al.  Inversion of Fan-Beam Scans in Radio Astronomy , 1967 .

[45]  P. Suetens,et al.  Metal streak artifacts in X-ray computed tomography: a simulation study , 1998, 1998 IEEE Nuclear Science Symposium Conference Record. 1998 IEEE Nuclear Science Symposium and Medical Imaging Conference (Cat. No.98CH36255).

[46]  W. Kalender,et al.  Reduction of CT artifacts caused by metallic implants. , 1987 .

[47]  L. Hörmander,et al.  Fourier integral operators. II , 1972 .

[48]  L. Hörmander.  The analysis of linear partial differential operators , 1990 .

[49]  Patrick Dupont,et al.  An iterative maximum-likelihood polychromatic algorithm for CT , 2001, IEEE Transactions on Medical Imaging.

[50]  Erik L. Ritman,et al.  Past and future directions in x‐ray computed tomography (CT) , 2002, Int. J. Imaging Syst. Technol..

[51]  H Guan,et al.  Computed tomography using algebraic reconstruction techniques (ARTs) with different projection access schemes: a comparison study under practical situations , 1996, Physics in medicine and biology.

[52]  D N Slatkin,et al.  Single-and dual-energy CT with monochromatic synchrotron x-rays. , 1997, Physics in medicine and biology.

[53]  M. Osanai,et al.  Photon starvation artifacts of X-ray CT: their true cause and a solution , 2012, Radiological Physics and Technology.

[54]  Jin Keun Seo,et al.  Metal artifact reduction in CT by identifying missing data hidden in metals. , 2013, Journal of X-ray science and technology.

[55]  A. Katsevich.  Improved cone beam local tomography , 2006 .

[56]  Lothar Spies,et al.  Metal artifact reduction in CT using tissue-class modeling and adaptive prefiltering. , 2006, Medical physics.

[57]  E. Woo,et al.  Nonlinear Inverse Problems in Imaging , 2012 .

[58]  F. Schmitt,et al.  Linear inverse problems in imaging , 2008, IEEE Signal Processing Magazine.

[59]  Adel Faridani,et al.  Introduction to the Mathematics of Computed Tomography , 2003 .

[60]  Gabor T. Herman,et al.  A Comparative Study of Two Postreconstruction Beam Hardening Correction Methods , 1983, IEEE Transactions on Medical Imaging.

[61]  Eric Todd Quinto,et al.  Singularities of the X-ray transform and limited data tomography , 1993 .

[62]  A. Ramm,et al.  The RADON TRANSFORM and LOCAL TOMOGRAPHY , 1996 .

[63]  Jin Keun Seo,et al.  Metal Artifact Reduction for Polychromatic X-ray CT Based on a Beam-Hardening Corrector , 2016, IEEE Transactions on Medical Imaging.

[64]  E.J. Candes.  Compressive Sampling , 2022 .

[65]  Rainer Raupach,et al.  Normalized metal artifact reduction (NMAR) in computed tomography. , 2010, Medical physics.