Inversion of Electron Tomography Images Using L2-Gradient Flows — Computational Methods
Year: 2011
Journal of Computational Mathematics, Vol. 29 (2011), Iss. 5 : pp. 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 L2-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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1106-m3302
Journal of Computational Mathematics, Vol. 29 (2011), Iss. 5 : pp. 501–525
Published online: 2011-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Computational Inversion Reconstruction Electric Tomography.
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