@Article{JCM-29-501,
author = {Guoliang Xu, Ming Li, Ajay Gopinath, and Chandrajit L. Bajaj},
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 = {<p style="text-align: justify;">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.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1106-m3302},
url = {http://global-sci.org/intro/article_detail/jcm/8491.html}
}