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10 September 2019 Advanced compressed sensing image reconstruction for interior tomography
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In 2009, Yu and Wang discovered that an exact reconstruction in interior tomography is possible when the object is piecewise constant over the whole ROI based on Compressed Sensing (CS). However, the assumption that the object is piecewise constant over the whole region of interest (ROI) is not realistic for most medical CT images having smooth intensity changes and textures inside each organ. Consequently, there is a strong tendency that the CS approach leads to losing the smooth image components. To overcome this drawback, we propose an advanced CS approach, in which the piecewise constancy is imposed only over a peripheral region of ROI such as frames, left+right boundaries, or four corners. To theoretically support the proposed method, we prove that the proposed method produces an exact reconstruction of the ROI when the object is actually piecewise constant only over the peripheral prior knowledge region. We demonstrate that the proposed method works well by simulation studies.
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Hiroyuki Kudo "Advanced compressed sensing image reconstruction for interior tomography", Proc. SPIE 11113, Developments in X-Ray Tomography XII, 111130U (10 September 2019);

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