Nonlocal Total Variation Using the First and Second Order Derivatives and Its Application to CT image Reconstruction
Department of Computer Science, Graduate School of Systems and Information Engineering, University of Tsukuba, Tennoudai 1-1-1, Tsukuba 305-8573, Japan
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Sensors 2020, 20(12), 3494; https://doi.org/10.3390/s20123494
Received: 16 May 2020 / Revised: 15 June 2020 / Accepted: 18 June 2020 / Published: 20 June 2020
(This article belongs to the Special Issue Sensor Signal and Information Processing III)
We propose a new class of nonlocal Total Variation (TV), in which the first derivative and the second derivative are mixed. Since most existing TV considers only the first-order derivative, it suffers from problems such as staircase artifacts and loss in smooth intensity changes for textures and low-contrast objects, which is a major limitation in improving image quality. The proposed nonlocal TV combines the first and second order derivatives to preserve smooth intensity changes well. Furthermore, to accelerate the iterative algorithm to minimize the cost function using the proposed nonlocal TV, we propose a proximal splitting based on Passty’s framework. We demonstrate that the proposed nonlocal TV method achieves adequate image quality both in sparse-view CT and low-dose CT, through simulation studies using a brain CT image with a very narrow contrast range for which it is rather difficult to preserve smooth intensity changes.
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Keywords:
image reconstruction; computed tomography; compressed sensing; nonlocal total variation; sparse-view CT; low-dose CT; proximal splitting; row-action; brain CT image
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MDPI and ACS Style
Kim, Y.; Kudo, H. Nonlocal Total Variation Using the First and Second Order Derivatives and Its Application to CT image Reconstruction. Sensors 2020, 20, 3494. https://doi.org/10.3390/s20123494
AMA Style
Kim Y, Kudo H. Nonlocal Total Variation Using the First and Second Order Derivatives and Its Application to CT image Reconstruction. Sensors. 2020; 20(12):3494. https://doi.org/10.3390/s20123494
Chicago/Turabian StyleKim, Yongchae; Kudo, Hiroyuki. 2020. "Nonlocal Total Variation Using the First and Second Order Derivatives and Its Application to CT image Reconstruction" Sensors 20, no. 12: 3494. https://doi.org/10.3390/s20123494
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