INVERSION OF ELECTRON TOMOGRAPHY IMAGES USING L2-GRADIENT FLOWS——COMPUTATIONAL METHODS

• 来源期刊: 计算数学（英文版）
• 关键词: Computational Inversion Reconstruction Electric Tomography
• 年，卷（期）: 2011,（5）
• 页码范围: 501-525
• 页数: 25页
• 语种: 英文
• DOI: 10.4208/jcm.1106-m3302

摘要

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.