6,735 research outputs found
Boundary length of reconstructions in discrete tomography
We consider possible reconstructions of a binary image of which the row and
column sums are given. For any reconstruction we can define the length of the
boundary of the image. In this paper we prove a new lower bound on the length
of this boundary. In contrast to simple bounds that have been derived
previously, in this new lower bound the information of both row and column sums
is combined
- …