Abstract
In tomography one has to give an estimate of function from a finite number of its integrals along straight lines or on strips. Under very reasonable conditions, interlaced sampling is well known to be the most efficient scheme for this problem. The author examines some perturbations on the interlaced scheme. Using a theorem due to Faridani (1990), he shows that sampling on coarse grids leads to efficient schemes, allowing one to consider many different sampling geometries. Some of them could be, in practice, much more easily generated than the interlaced one. New efficient sampling schemes of the Radon transform are proposed. Numerical experiments in the case of integrals on strips show the efficiency of these new schemes.
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