A general region-of-interest image reconstruction approach with truncated Hilbert transform

作者：Li, Liang^*; Kang, Kejun; Chen, Zhiqiang; Zhang, Li; Xing, Yuxiang

来源：Journal of X-Ray Science and Technology, 2009, 17(2): 135-152.

DOI：10.3233/XST-2009-0218

• Computed tomography (CT)
• image reconstruction
• Region-of-interest (ROI)
• truncated Hilbert transform

This paper presents a novel data sufficiency condition that unique and stable ROI reconstruction can be achieved from a more flexible family of data sets. To the interior problem, it allows the ROI (Region-of-interest) can be reconstructed from the line integrals passing through this ROI and a small region B located anywhere as long as the image is known on B. Especially, ROI reconstruction can be achieved without any other a priori knowledge when region B is placed outside the object support. We also develop a general reconstruction algorithm with the DBP-POCS (Differentiated backprojection-projection onto convex sets) method. Finally, both numerical and real experiments were done to illustrate the new data sufficiency condition and the good stability of the ROI reconstruction algorithm.

• 出版日期2009
• 单位清华大学