1998Marabini ART: Difference between revisions
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Marabini, R.; Herman, G. T. & Carazo, J. M. 3D reconstruction in electron microscopy using ART with smooth spherically symmetric volume elements (blobs) Ultramicroscopy, 1998, 72, 53-65 | Marabini, R.; Herman, G. T. & Carazo, J. M. 3D reconstruction in electron microscopy using ART with smooth spherically symmetric volume elements (blobs) Ultramicroscopy, 1998, 72, 53-65 | ||
BibTex | |||
<tt> | |||
@ARTICLE{Marabini1998a, | |||
author = {R. {Marabini} and G. T. Herman and J. M. Carazo}, | |||
title = {3{D} reconstruction in electron microscopy using {ART} with smooth | |||
spherically symmetric volume elements (blobs)}, | |||
journal ={Ultramicroscopy}, | |||
year = {1998}, | |||
volume = {72}, | |||
pages = {53-65} | |||
} | |||
</tt> | |||
== Abstract == | == Abstract == | ||
Algebraic reconstruction techniques (ART) are iterative procedures for solving systems of linear equations. They have been used in tomography to recover objects from their projections. In this work we apply an ART approach in which the basis functions used to describe the objects are not based on voxels, but are much smoother functions named "blobs". The data collection studied in this work follows the so-called "conical tilt geometry" that is commonly used in many applications of three-dimensional electron microscopy of biological macromolecules. The performance of ART with blobs is carefully compared with a currently well-known three dimensional (3D) reconstruction algorithm (weighted back projection) using a methodology which assigns a level of statistical significance to a claim of relative superiority of one algorithm over another for a particular task. The conclusion we reach is that ART with blobs produces high-quality reconstructions and is, in particular, superior to weighted backprojection in recovering features along the "vertical" direction. For the exact implementation recommended in this paper, the computational costs of ART are almost an order of magnitude smaller than those of WBP. | Algebraic reconstruction techniques (ART) are iterative procedures for solving systems of linear equations. They have been used in tomography to recover objects from their projections. In this work we apply an ART approach in which the basis functions used to describe the objects are not based on voxels, but are much smoother functions named "blobs". The data collection studied in this work follows the so-called "conical tilt geometry" that is commonly used in many applications of three-dimensional electron microscopy of biological macromolecules. The performance of ART with blobs is carefully compared with a currently well-known three dimensional (3D) reconstruction algorithm (weighted back projection) using a methodology which assigns a level of statistical significance to a claim of relative superiority of one algorithm over another for a particular task. The conclusion we reach is that ART with blobs produces high-quality reconstructions and is, in particular, superior to weighted backprojection in recovering features along the "vertical" direction. For the exact implementation recommended in this paper, the computational costs of ART are almost an order of magnitude smaller than those of WBP. | ||
== Links == | == Links == | ||
Revision as of 17:22, 30 March 2009
Citation
Marabini, R.; Herman, G. T. & Carazo, J. M. 3D reconstruction in electron microscopy using ART with smooth spherically symmetric volume elements (blobs) Ultramicroscopy, 1998, 72, 53-65
BibTex
@ARTICLE{Marabini1998a,
author = {R. {Marabini} and G. T. Herman and J. M. Carazo},
title = {3{D} reconstruction in electron microscopy using {ART} with smooth
spherically symmetric volume elements (blobs)},
journal ={Ultramicroscopy},
year = {1998},
volume = {72},
pages = {53-65}
}
Abstract
Algebraic reconstruction techniques (ART) are iterative procedures for solving systems of linear equations. They have been used in tomography to recover objects from their projections. In this work we apply an ART approach in which the basis functions used to describe the objects are not based on voxels, but are much smoother functions named "blobs". The data collection studied in this work follows the so-called "conical tilt geometry" that is commonly used in many applications of three-dimensional electron microscopy of biological macromolecules. The performance of ART with blobs is carefully compared with a currently well-known three dimensional (3D) reconstruction algorithm (weighted back projection) using a methodology which assigns a level of statistical significance to a claim of relative superiority of one algorithm over another for a particular task. The conclusion we reach is that ART with blobs produces high-quality reconstructions and is, in particular, superior to weighted backprojection in recovering features along the "vertical" direction. For the exact implementation recommended in this paper, the computational costs of ART are almost an order of magnitude smaller than those of WBP.
Links
http://www.ncbi.nlm.nih.gov/pubmed/9561797