On some variational models and their algorithms for axially symmetric objects tomography from a single X-ray source

Abstract

陈柯等: 轴对称物体 X 射线层析成像的变分模型与算法 density distribution of an axially symmetric object by X-ray radiographs, generalising previous works on spherically symmetric objects. Since effective numerical solution of the nonlinear systems generated from these models remains a mathematical challenge, the proposed use of an augmented Lagrangian method enables incorporation of high order regularizers and an automatic adding of regularization in the case of additional blurring. Some preliminary tests are conducted. This work lays the foundation for future works to model 3D non-symmetric objects by X-ray radiographs.