Graph Laplacian tomography from unknown random projections.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 18784036.
- Also identified by DOI 10.1109/TIP.2008.2002305.
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Abstract
We introduce a graph Laplacian-based algorithm for the tomographic reconstruction of a planar object from its projections taken at random unknown directions. A Laplace-type operator is constructed on the data set of projections, and the eigenvectors of this operator reveal the projection orientations. The algorithm is shown to successfully reconstruct the Shepp-Logan phantom from its noisy projections. Such a reconstruction algorithm is desirable for the structuring of certain biological proteins using cryo-electron microscopy.
Medical subject headings
- Algorithms
- Image Enhancement
- Image Interpretation, Computer-Assisted
- Tomography, Optical