Tomography

Unknown angles, as in X-ray tomography:

• Basu & Bresler, 2000: Uniqueness of tomography with unknown view angles (doi)
• Basu & Bresler, 2000: Feasibility of tomography with unknown view angles (doi)
• Singer et al, 2008: Graph Laplacian tomography from unknown random projections (doi)
• Singer & Shkolnisky, 2011: Three-dimensional structure determination from common lines in cryo-EM by eigenvectors and semidefinite programming (doi)
  • Uses some random matrix theory but seems theoretically incomplete

See other work by A. Singer .

Quantum tomography

• Gross et al, 2012: Quantum tomography via compressed sensing (doi)
  • Open problem involving RIP-less measurements