Analysis of compressed sensing based computed tomography reconstruction

X-ray computed tomography (CT) has been a popular medical imaging modality that plays an important role in diagnosis and thus benefits patients greatly. In general, a considerable amount of X-ray radiation is needed for the production of CT images of high quality, but increased X-ray radiation dose can damage healthy cells and raise the risk of cancer. On the other hand, compressed sensing technology is an emerging research area which recovers signals from far fewer samples than traditionally required by the Shannon-Nyquist sampling theorem. To sum up, we studied in this thesis the application of compressed sensing to CT to reduce the X-ray radiation dose to patients and preserve imaging quality.