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Multi-sheet surface rebinning methods for reconstruction from asymmetrically truncated cone beam projections: I. Approximation and optimality

<27>First in two-paper series (featured in Inverse Problems' Insights) introducing a new family of reconstruction methods from axially truncated cone-beam projections. MSSR are first reconstruction algorithms for such geometries (e.g. Rapiscan's Real-Time-Tomography) trading completeness of the data for nearly real-time acquisition. The novelty of MSSR is rebinning to optimal multi-sheet surfaces resulting in limited-data reconstruction of quality similar to complete-data reconstruction. Betcke, Lionheart (both at Manchester at the time of invention), Morton (Rapiscan) were granted US-8,204,173 patent on MSSR. The collaboration between Manchester (MSSR methods) and Rapiscan (Real-Time-Tomography scanner) won the Security prize at The Engineer’s Technology & Innovation Awards'10.