Fast Image Reconstruction Based on a Radon Inversion Formula Appropriate for Rapidly Collected Data

摘要: An arrangement of a single x-ray source and circular array (centered at the source) detectors allows rapid collection number projections cross section an object. A class appropriately fast algorithms for reconstructing internal structure from such data is rigorously derived starting classical Radon inversion formula. new formula divergent beams given as singlular integral. It shown that this singular integral can be regularized ways, each one which leads to efficient numerical evaluation. The structure, hence speed, resulting similar so-called “convolution reconstruction techniques” have been previously slowly collected along parallel rays found both accurate. demonstrated that, provided same photons used, method paper gives accurate reconstructions diverging x-rays a...