Graph Laplacian Tomography From Unknown Random Projections

We introduce a graph Laplacian based algorithm for the tomography reconstruction of a planar object from its projections taken at random unknown directions. 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.

• Type: Journal
• Year: 2008
• Where: TIP
• Authors: Ronald R. Coifman, Yoel Shkolnisky, Fred J. Sigworth, Amit Singer
• Keywords: Algorithm, Graph Laplacian, Random Unknown Directions, TIP 2008