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Structure Tensor Total Variation for CBCT Reconstruction

S Tan

L Liu1 , Q Shi1 , J Wang2 , S Tan1*, (1) Huazhong University of Science and Technology, Wuhan, Hubei, China (2) UT Southwestern Medical Center, Dallas, TX


SU-I-GPD-I-8 (Sunday, July 30, 2017) 3:00 PM - 6:00 PM Room: Exhibit Hall

Purpose: To introduce a structure tensor total variation penalty for cone-beam CT (CBCT) reconstruction that preserves the favorable properties of TV while avoids the staircase effect.

Methods: The total variation (TV) penalty has shown state-of-the-art performance in suppressing noises and preserving edges, but sometimes leads to the staircase effect in regions with smooth intensity transition. To avoid the staircase effect, we introduced a structure tensor total variation (STV) penalty for CBCT reconstruction, which penalizes the eigenvalues of the structure tensor. The STV generalizes TV and preserves the favorable properties of TV, such as convexity and invariance. Thanks to its ability to capture the first-order information around a local neighborhood, the structure tensor provide more robust description of image than TV and led to better results in CBCT reconstruction. The objective function was constructed using the penalized weighted least-square (PWLS) criterion and was minimized using the gradient descent (GD) method. We examined CBCT reconstruction using STV with different norm (p=1, 2, ∞), and evaluated and compared the STV penalty with the TV penalty on a Compressed Sensing (CS) phantom and a CatPhan 600 phantom. The noise ratio (PSNR), the improvement signal to noise ratio (ISNR), the structural similarity (SSIM) and contrast-to-noise (CNR) were calculated.

Results: For the CS phantom, the reconstructed images using TV had obvious staircase effect, while those using the STV suppressed the staircase effect efficiently. PSNRs, ISNRs, SSIMs of the STV were better than TV. For the CatPhan 600, CNR values of the STV were similar to those of TV. Among all STV penalties, STV1 (p=1) had the best reconstruction performance.

Conclusion: The proposed STV penalty retained favorable properties of TV like suppressing noise, and had a potential advantage in suppressing the staircase effect on CBCT reconstruction.

Funding Support, Disclosures, and Conflict of Interest: This work was supported in part by National Natural Science Foundation of China (NNSFC), under Grant Nos. 61375018 and 61672253. J. Wang was supported in part by grants from the Cancer Prevention and Research Institute of Texas (RP130109 and RP110562-P2), the National Institute of Biomedical Imaging and Bioengineering (R01 EB020366).

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