A Row-Rank System Matrix Generated by the Strip-Based Projection Model in Parallel-Beam Image Reconstruction
Let Cu = k be an underdetermined linear system generated by the strip-based projection model in parallel-beam image reconstruction, where C is row-rank deficient. In the case of one scanning direction, an index set H is specified such that a full row-rank matrix F, obtained by deleting rows of C with row index in H, contains the maximum linearly independent rows of C. Therefore, the corresponding system F u = h is equivalent to Cu = k and consequently, the cost of an image reconstruction from F u = h is reduced.
Southeastern Sectional Meeting of the American Mathematical Society (AMS)
"A Row-Rank System Matrix Generated by the Strip-Based Projection Model in Parallel-Beam Image Reconstruction."
Mathematical Sciences Faculty Presentations.