Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Estimation of variance distribution in three-dimensional reconstruction. I. Theory

Not Accessible

Your library or personal account may give you access

Abstract

A theory is developed for estimating the three-dimensional (3-D) variance of a 3-D image reconstructed from projections by weighted backprojection. The theory is applicable for any data-collection schemes that produce partially redundant sampling of the angular space. The particular data collection considered here, the single-exposure random-conical scheme, is used for the reconstruction of macromolecules in electron microscopy. In this context, the purpose of the 3-D variance estimation is to detect and localize the conformational variability, to assess the significance of structural differences between two experimentally related 3-D images, and to assess the significance of local features in a 3-D image. The 3-D variance estimate of each reconstruction voxel is obtained by (i) the comparison of closest points on Fourier sections associated with difference projections, (ii) the comparison of neighbor projections in real space, or (iii) the comparison of projections with reprojections of the reconstruction.

© 1995 Optical Society of America

Full Article  |  PDF Article
More Like This
Estimation of variance distribution in threedimensional reconstruction. II. Applications

Weiping Liu, Nicolas Boisset, and Joachim Frank
J. Opt. Soc. Am. A 12(12) 2628-2635 (1995)

Computationally efficient and statistically robust image reconstruction in three-dimensional diffraction tomography

Mark A. Anastasio and Xiaochuan Pan
J. Opt. Soc. Am. A 17(3) 391-400 (2000)

Solution to the three-dimensional image reconstruction problem from two-dimensional parallel projections

M. Defrise, R. Clack, and D. Townsend
J. Opt. Soc. Am. A 10(5) 869-877 (1993)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (78)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved