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Inversion of Electron Tomography Images Using L2-Gradient Flows — Computational Methods

Inversion of Electron Tomography Images Using $L^2$-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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