CT画像再構成問題の原理的考察-II : 離散的に計測される投影データからの再構成

抄録

The mathematical analysis of CT image reconstruction based on the spectral decomposition of Radon transform, which was developed in previous paper, is extended to the image reconstruction problem from discretely viewed projection. In the discretely viewed situation, the image reconstruction is carried out under the minimum norm least square criterion, because the mathematically exact reconstruction is impossible. The structure of reconstruction error due to the discretely viewed and the limited viewed projection is discussed. The relationship between reconstruction error and number of projection can be obtained. Consequently, the theoretical possibility and limitation in practical CT imaging technology are made clear.