Discrete tomography for integer-valued functions
Promotor: S.J. Edixhoven, Co-promotor: K.J. Batenburg
- Arjen Stolk
- 15 June 2011
- Thesis in Leiden Repository
This thesis studies the reconstruction of integer-valued functions on subsets of the rectangular lattice in R^n, given the sums of function values over lines going through this subset. This problem is a relaxation of the well-studied discrete tomography problem of reconstructing binary images from counts of ones along straight lines. The relaxation has rich and interesting algebraic structure. Among other things, this leads to a classification of numerical relations between the line sums.