https://3demmethods.i2pc.es/index.php?action=history&feed=atom&title=1987VanHeel_CommonLines 2026-05-24T19:52:56Z Revision history for this page on the wiki MediaWiki 1.44.2 https://3demmethods.i2pc.es/index.php?title=1987VanHeel_CommonLines&diff=1522&oldid=prev 2009-04-02T12:11:36Z

<p></p> <p><b>New page</b></p><div>== Citation ==<br /> <br /> van Heel M (1987) Angular reconstitution: a posteriori assignment of<br /> projection directions for 3D reconstruction. Ultramicroscopy<br /> 21:111–123<br /> <br /> == Abstract ==<br /> <br /> In computerized tomography as well as in most problems of three-dimensional reconstruction from projections, one knows from the experimental set-up the angular relationships between the projections from which the reconstruction is to be calculated. A serious difficulty is encountered when the angles are not known. In this paper, a method of &quot;angular reconstitution&quot; is described, which allows the a posteriori determination of the relative angular orientations of the projections and thus enables the three-dimensional reconstruction of the object to be calculated. For asymmetric objects, a minimum of three projections is required, which should not be related by a tilt around a single rotation axis. The method can be applied to determine the three-dimensional structure of biological macromolecules based on electron micrographs of randomly oriented individual molecules. Angular reconstitution, in combination with multivariate statistical techniques to classify and average the characteristic views of a molecule forms a complete, self-contained methodology for molecular structure analysis by electron microscopy.<br /> <br /> == Keywords ==<br /> <br /> 3D angular alignment<br /> <br /> == Links ==<br /> <br /> Article http://www.ncbi.nlm.nih.gov/pubmed/12425301<br /> <br /> == Related software ==<br /> <br /> == Related methods ==<br /> <br /> == Comments ==</div>

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