Abstract
There exists an elegant correspondence between the problem of reconstructing a 0-1 lattice image from two of its projections and the problem of finding a maximum flow in a certain graph. In this chapter we describe how network flow algorithms can be used to solve a variety of problems from discrete tomography. First, we describe the network flow approach for two projections and several of its generalizations. Subsequently, we present an algorithm for reconstructing 0-1 images from more than two projections. The approach is extended to the reconstruction of 3D images and images that do not have an intrinsic lattice structure.
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Batenburg, K. (2007). Network Flow Algorithms for Discrete Tomography. In: Herman, G.T., Kuba, A. (eds) Advances in Discrete Tomography and Its Applications. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4543-4_9
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DOI: https://doi.org/10.1007/978-0-8176-4543-4_9
Publisher Name: Birkhäuser Boston
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