3-D image reconstruction from averaged Fourier transform magnitude by parameter estimation

Author

Zheng, Yibin ; Doerschuk, Peter C.

Author_Institution

Sch. of Electr. & Comput. Eng., Purdue Univ., West Lafayette, IN, USA

Volume

7

Issue

11

fYear

1998

fDate

11/1/1998 12:00:00 AM

Firstpage

1561

Lastpage

1570

Abstract

An object model and estimation procedure for three-dimensional (3-D) reconstruction of objects from measurements of the spherically averaged Fourier transform magnitudes is described. The motivating application is the 3-D reconstruction of viruses based on solution X-ray scattering data. The object model includes symmetry, positivity and support constraints and has the form of a truncated orthonormal expansion and the parameters are estimated by maximum likelihood methods. Successful 3-D reconstructions based on synthetic and experimental measurements from Cowpea mosaic virus are described

Keywords

Fourier transforms; X-ray scattering; biology computing; cellular biophysics; image reconstruction; maximum likelihood estimation; 3-D image reconstruction; Cowpea mosaic virus; X-ray scattering data; averaged Fourier transform magnitude; estimation procedure; maximum likelihood methods; object model; parameter estimation; positivity; support constraints; symmetry; truncated orthonormal expansion; Crystallization; Electrons; Fourier transforms; Image reconstruction; Maximum likelihood estimation; Parameter estimation; Three dimensional displays; Viruses (medical); X-ray diffraction; X-ray scattering;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/83.725363

Filename

725363