2 research outputs found
Stability results for uniquely determined sets from two directions in discrete tomography
In this paper we prove several new stability results for the reconstruction
of binary images from two projections. We consider an original image that is
uniquely determined by its projections and possible reconstructions from
slightly different projections. We show that for a given difference in the
projections, the reconstruction can only be disjoint from the original image if
the size of the image is not too large. We also prove an upper bound for the
size of the image given the error in the projections and the size of the
intersection between the image and the reconstruction.Comment: Title changed, minor revision