document: Image reconstruction from fan-beam projections on less than a short scan This work is concerned with 2D image reconstruction from fan-beam projections . It is shown that exact and stable reconstruction of a given region-of-interest in the object does not require all lines passing through the object to be measured . Complete -LRB- non-truncated -RRB- fan-beam projections provide sufficient information for reconstruction when ` every line passing through the region-of-interest intersects the vertex path in a non-tangential way ' . The practical implications of this condition are discussed and a new filtered-backprojection algorithm is derived for reconstruction . Experiments with computer-simulated data are performed to support the mathematical results
doc_bio_tags: O O O O O O O O O O O O O O O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O
extractive_keyphrases: 2d image reconstruction vertex path
abstractive_keyphrases: fan-beam projections exact stable reconstruction region-of-interest filtered-backprojection algorithm x-ray computed tomography short-scan condition hilbert transform radon transform rebinning formula convolution linear interpolation 3d head phantom