@Article{JCM-29-501, author = {}, title = {Inversion of Electron Tomography Images Using $L^2$-Gradient Flows — Computational Methods}, journal = {Journal of Computational Mathematics}, year = {2011}, volume = {29}, number = {5}, pages = {501--525}, abstract = {

In this paper, we present a stable, reliable and robust method for reconstructing a three dimensional density function from a set of two dimensional electric tomographic images. By minimizing an energy functional consisting of a fidelity term and a regularization term, an $L^2$-gradient flow is derived. The flow is integrated by a finite element method in the spatial direction and an explicit Euler scheme in temporal direction. The experimental results show that the proposed method is efficient and effective.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1106-m3302}, url = {http://global-sci.org/intro/article_detail/jcm/8491.html} }