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- Publisher
- Oxford University Press
- Copyright
- Copyright © 2015 Oxford University Press
- ISSN
- 1367-4803
- eISSN
- 1460-2059
- DOI
- 10.1093/bioinformatics/14.2.212
- Publisher site
- See Article on Publisher Site
Abstract
MOTIVATION: Arrays of three-dimensional (3D) data are ubiquitous in structural biology, biomedicine and clinical imaging. The Radon transform can be implied in their manipulation mainly for the solution of the inverse tomographic problem, since experimental data are often collected as projections or as samples of the Radon space. In electron tomography, new applications of the transform may become convenient if a fast and accurate transformation algorithm is adopted. RESULTS: A direct Fourier method (DFM) is proposed to compute the 3D Radon transform from a sampled function with compact support. This paper describes an already known two-step algorithm and illustrates its DFM implementation by coordinate transformations in 2D Fourier space. The algorithm is easily inverted to obtain a density distribution from the Radon transform. The main applications are in the field of electron tomography, especially in processes of angular refinement, since whatever projection of a structure can be retrieved from its Radon transform in a fast and accurate way. The times required to compute a number of projections with use of the Radon transform are compared with those required by other algorithms. Further uses of the Radon transform can be foreseen in applications based on 'projection onto convex sets' (POCS). AVAILABILITY: Software is available free of charge upon request to the authors. CONTACT: salvator@csmtbo.mi.cnr.it « Previous | Next Article » Table of Contents This Article Bioinformatics (1998) 14 (2): 212-216. doi: 10.1093/bioinformatics/14.2.212 » Abstract Free Full Text (PDF) Free Services Article metrics Alert me when cited Alert me if corrected Alert me if commented Find similar articles Similar articles in Web of Science Similar articles in PubMed Add to my archive Download citation Request Permissions Responses Submit a response No responses published Citing Articles Load citing article information Citing articles via CrossRef Citing articles via Scopus Citing articles via Web of Science Citing articles via Google Scholar Google Scholar Articles by Lanzavecchia, S. Articles by Luigi Bellon, P. Search for related content PubMed PubMed citation Articles by Lanzavecchia, S. Articles by Luigi Bellon, P. Related Content Load related web page information Share Email this article CiteULike Delicious Facebook Google+ Mendeley Twitter What's this? 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Journal
Bioinformatics – Oxford University Press
Published: Jan 1, 1998
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