2011
DOI: 10.3233/xst-2011-0300
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A new CT metal artifacts reduction algorithm based on fractional-order sinogram inpainting

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Cited by 46 publications
(37 citation statements)
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“…The inpainting methods are used to recover the background P \ in D by filling in the defective region D from its surrounding information. The commonly used inpainting methods are linear interpolation [14,34,40], higher-order polynomial interpolation [1,4,62], wavelets [71,72], Fourier transforms [38], normalized interpolation methods [42], and total variation [9] or fractional-order inpainting methods [70]. However, these interpolation methods suffer from inherent limitations since their methods do not take into account the mismatch of the restored P \ with the range of the Radon transform [42,45].…”
Section: Remark On Mar and Discussionmentioning
confidence: 99%
“…The inpainting methods are used to recover the background P \ in D by filling in the defective region D from its surrounding information. The commonly used inpainting methods are linear interpolation [14,34,40], higher-order polynomial interpolation [1,4,62], wavelets [71,72], Fourier transforms [38], normalized interpolation methods [42], and total variation [9] or fractional-order inpainting methods [70]. However, these interpolation methods suffer from inherent limitations since their methods do not take into account the mismatch of the restored P \ with the range of the Radon transform [42,45].…”
Section: Remark On Mar and Discussionmentioning
confidence: 99%
“…There are three main directions which could be explored in future. Firstly, we think there is great potential to apply our framework to other applications, such as in tomographic imaging with occlusions and heavy metal artefacts where the inpainting region is much smaller [22,23]. Secondly, we would like to find an alternative numerical algorithm with either faster practical convergence or one which is more capable of avoiding local minima in this non-convex landscape.…”
Section: Discussionmentioning
confidence: 99%
“…Zhao et al proposed interpolating the wavelet coefficients of the projection data (Zhao et al, ). To obtain a better visual effect, partial differential equation (PDE) methods were introduced (Gu et al, ; Duan et al, ; Zhang et al, ). The inpainting method proposed by Gu et al is based on Euler's elastica and curvature (Gu et al, ).…”
Section: Introductionmentioning
confidence: 99%
“…Duan et al introduced a classical image inpainting method based on total variation (TV) for metal artifact reduction (MAR) (Duan et al, ). Zhang et al extended TV and curvature diffusions to fractional order to get more accurate results (Zhang et al, ). Projection completion with filtering has also been presented (Watzke and Kalender, ; Bal and Spies ).…”
Section: Introductionmentioning
confidence: 99%