EPFL
 Biomedical Imaging GroupSTI
EPFL
  Publications
English only   BIG > Publications > Angular Assignment


 CONTENTS
 Home Page
 News & Events
 People
 Publications
 Tutorials and Reviews
 Research
 Demos
 Download Algorithms

 DOWNLOAD
 PDF not available
 PS not available
 All BibTeX References

Angular Assignment Using the Visible Space and a Fast Wavelet Based Correlation

C.Ó. Sánchez Sorzano

First Joint International Meeting Between the American Mathematical Society and the Real Sociedad Matemática Española (RMSE-AMS'03), Sevilla, Kingdom of Spain, June 18-21, 2003.



3D Electron Microscopy (3DEM) aims at the determination of the spatial distribution of the Coulomb potential of macromolecular complexes. This information is crucial in structural biology and provides key information about the way that macromolecules interact. 3D Electron Tomography computes the 3D reconstruction of a macromolecule based on the information provided by thounsands of 2D projections acquired with an electron microscope. One of the key parameters required to perform such a 3D reconstruction is the direction of projection of each projection image which is unknown a priori and must be determined using some algorithm. This information is usually coded with three Euler angles.

The visible space is defined as the subspace spanned by the set of projections that can be seen given a reference model. We propose to project experimental images onto the visible space and the use of wavelets in order to match the experimental projections with those obtained from a model volume used as reference. The use of projection onto the visible space prevents the algorithm from matching features that are not feasible given the reference model. On the other hand, the wavelet decomposition of the projection images provide a framework for a multiscale matching algorithm in which speed and robustness against noise is gained. Results obtained from computer simulations in terms of accuracy and speed encourages the use of this approach.


@INPROCEEDINGS(http://bigwww.epfl.ch/publications/sorzano0301.html,
AUTHOR="S{\'{a}}nchez Sorzano, C.{\'{O}}.",
TITLE="Angular Assignment Using the Visible Space and a Fast Wavelet
        Based Correlation",
BOOKTITLE="First Joint International Meeting Between the American
        Mathematical Society and the Real Sociedad Matem{\'{a}}tica
        Espa{\~{n}}ola ({RMSE-AMS'03})",
YEAR="2003",
editor="",
volume="",
series="",
pages="",
address="Sevilla, Kingdom of Spain",
month="June 18-21,",
organization="",
publisher="",
note="")

© 2003 RMSE-AMS. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from RMSE-AMS.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.