Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China.
J Struct Biol. 2011 Dec;176(3):259-67. doi: 10.1016/j.jsb.2011.08.005. Epub 2011 Aug 16.
In this paper, we present an iterative algorithm for reconstructing a three-dimensional density function from a set of two dimensional electron microscopy 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 the temporal direction. Our method compares favorably with those of the weighted back projection, Fourier method, algebraic reconstruction technique and simultaneous iterative reconstruction technique.
本文提出了一种从一组二维电子显微镜图像重建三维密度函数的迭代算法。通过最小化由保真度项和正则化项组成的能量泛函,推导出 L(2)-梯度流。该流在空间方向上通过有限元方法积分,在时间方向上通过显式欧拉方案积分。我们的方法与加权反向投影、傅里叶方法、代数重建技术和同时迭代重建技术相比具有优势。