title: Electric-Potential Reconstructions of Single Particles Using L-Gradient Flows.
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 electron microscopy images. By minimizing an energy functional consisting of a fidelity term and a regularization term, a 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.
authors.affiliation: State Key Laboratory of Scientific and Engineering Computing Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, China.
authors.forename: Ming
authors.initials: M
authors.lastname: Li
authors.forename: Guoliang
authors.initials: G
authors.lastname: Xu
authors.forename: Carlos O S
authors.initials: CO
authors.lastname: Sorzano
authors.forename: Roberto
authors.initials: R
authors.lastname: Melero
authors.forename: Chandrajit
authors.initials: C
authors.lastname: Bajaj