[논문]Sparse view CT에서 inpainting 방법을 이용한 사이노그램 복원의 영상 재구성

김대홍; 백철하

doi:10.7742/jksr.2017.11.7.655

초록
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방사선 치료 전 환자 위치 확인을 위해 수행하는 콘빔 CT 촬영에서 환자 선량 감소를 위해 Sparse view CT가 사용되고 있다. 본 연구는 시뮬레이션과 실험을 통해 선형보간법과 inpainting 방법을 이용하여 사이노그램의 sparse 데이터 복원하고 평가하는 것이다. 사이노그램 복원은 여러 간격의 각도로 획득된 영상에 적용되었다. 복원된 사이노그램은 역투영재구성법으로 재구성되었고, 그 결과를 평균제곱근오차와 영상의 프로파일로 나타내었다. 결과에 따르면, 평균제곱근오차와 영상 프로파일은 투영 각도와 복원법에 의존하였다. 시뮬레이션과 실험 결과에서 inpainting 복원법은 선형보간법에 비해 사이노그램의 복원 측면에서 개선된 결과를 보여주었다. 따라서, inpainting 방법은 환자 선량을 감소시키면서 영상화질을 유지시키는데 기여할 수 있을 것이다.

Abstract ▼ AI-Helper

Sparse view CT has been widely used to reduce radiation dose to patient in radiation therapy. In this work, we performed sinogram restoration from sparse sampling data by using inpainting method for simulation and experiment. Sinogram restoration was performed in accordance with sampling angle and r...

Sparse view CT has been widely used to reduce radiation dose to patient in radiation therapy. In this work, we performed sinogram restoration from sparse sampling data by using inpainting method for simulation and experiment. Sinogram restoration was performed in accordance with sampling angle and restoration method, and their results were validated with root mean square error (RMSE) and image profiles. Simulation and experiment are designed to fan beam scan for various projection angles. Sparse data in sinogram were restored by using linear interpolation and inpainting method. Then, the restored sinogram was reconstructed with filtered backprojection (FBP) algorithm. The results showed that RMSE and image profiles were depended on the projection angles and restoration method. Based on the simulation and experiment, we found that inpainting method could be improved for sinogram restoration in comparison to linear interpolation method for estimating RMSE and image profiles.

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가설 설정

Image profiles to compare linear interpolation and inpainting. On both profile (a) and (b), profiles of inpainting image is closed to the original image.

제안 방법

Then, the sinogram restoration was performed by using linear interpolation and inpainting, and reconstruction was implemented by using FBP. Finally, reconstructed image was validated with RMSE measurement.
In this study, the effects of inpainting method were demonstrated by simulation and experiment. Inpainting method outperformed than linear interpolation aspect of noise reduction and image restoration.
RMSE measurement was performed between original phantom image and reconstructed images. As shown in figure 5, RMSE values were decreased as projection number is increased on both linear interpolation and inpainting.
Streak artifact is caused by missing data in sparse view projection. The missing data is restored by using inpainting method, and their results were compared to that by using linear interpolation for both simulation and experiment.
The projection angles are for 360°, 180°, 90°, 60°, and 45°, respectively. Then, the sinogram is restored with linear interpolation and inpainting, and the image reconstruction was performed with FBP. We validated the reconstructed image of linear interpolation and inpainting method in according to projection numbers.
We performed that the patient image was re-projected for 360°, 180°, 90°, 60°, and 45°, respectively. Then, the sinogram restoration was performed by using linear interpolation and inpainting, and reconstruction was implemented by using FBP. Finally, reconstructed image was validated with RMSE measurement.
Therefore, the purpose of this work was to validate sinogram restoration by using inpainting in sparse view CT. Streak artifact is caused by missing data in sparse view projection.
To estimate agreement with original phantom image, RMSE measurement was performed. As shown in figure 5, The trend of RMSE values were decreased as projection number is increased on both linear interpolation and inpainting.

데이터처리

We validated the reconstructed image of linear interpolation and inpainting method in according to projection numbers. The reconstructed images are compared by using image profile and root-mean square error (RMSE). The RMSE is as following equation

이론/모형

Based on the restored sinogram, image reconstruction was performed with FBP algorithm. Figure 3 is the phantom images reconstructed by using linear interpolation.

참고문헌 (9)

M. Kalke, S. Siltance, "Sinogram interpolation method for sparse-angle tomography", Applied Mathematics, Vol. 5, pp. 423-441, 2014.

상세보기
R. A. Brooks, G. H. Weiss, A. J. Talbert, "A new approach to interpolation in computed, J. Comput. Assisted Tomography", Vol. 2, No. 5, pp. 577-585, 1978.

상세보기
E. Y. Sidky, Y. Duchin, X. Pan, C. Ullberq, "A constrained, total-variation minimization algorithm for low-intensity x-ray CT", Medical. Physics. Vol. 38, pp. 117-125, 2011.

상세보기
H. Wang, A Kaestner, Y. Zou, Y. Lu, Z. Guo, "Sparse-view reconstruction of dynamic processes by neutron tomography", Physics Procedia, Vol. 88, pp. 290-298, 2017.

상세보기
H. Zhang, M. Kruis, JJ. Sonke, "Directional sinogram interpolation for motion weighted 4D cone-beam CT reconstruction", Physics in Medicine & Biology, Vol. 62, No. 6, pp. 2254-2275, 2017.

상세보기
C. Zhe, B. Parker, D. Feng, "Temporal compression for dynamic positron emission tomography via principal component analysis in the sinogram domain," IEEE nuclear science symposium conference record, 2003.
H. Kostler, M. Prummer, U. Rude, J. Hornegger, "A daptive variational sinogram interpolation of sparsely sampled CT data", The 18thInternational conference on Pattern recognition, 2006.
A. Rosa, "Study and evaluation of text inpainting techniques for images and video", https://fenix.tecnico.ulisboa.pt/downloadFile/1126295043834175/ResumoAdelcioRosa.pdf
M. Bertalmio et al., Image inpainting, 27th Conf. on Computer graphics and interactive techniques. USA, 2000.

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Sparse view CT에서 inpainting 방법을 이용한 사이노그램 복원의 영상 재구성
Image Reconstruction of Sinogram Restoration using Inpainting method in Sparse View CT 원문보기

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Sparse view CT에서 inpainting 방법을 이용한 사이노그램 복원의 영상 재구성 Image Reconstruction of Sinogram Restoration using Inpainting method in Sparse View CT 원문보기

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Sparse view CT에서 inpainting 방법을 이용한 사이노그램 복원의 영상 재구성
Image Reconstruction of Sinogram Restoration using Inpainting method in Sparse View CT 원문보기

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