Discrete tomography for integer-valued functions

Leiden Repository

Discrete tomography for integer-valued functions

Type: Doctoral Thesis
Title: Discrete tomography for integer-valued functions
Author: Stolk, Arjen Pieter
Publisher: Mathematical Institute, Faculty of Science, Leiden University
Issue Date: 2011-06-15
Keywords: Computing
Discrete tomography
Finite convex grids
Periodic grids
Reconstruction systems
Abstract: 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.
Description: Promotor: S.J. Edixhoven, Co-promotor: K.J. Batenburg
With summary in Dutch
Faculty: Faculteit der Wiskunde en Natuurwetenschappen
Citation: Stolk, A.P., 2011, Doctoral thesis, Leiden University
Sponsor: NWO
Handle: http://hdl.handle.net/1887/17709
 

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