On the computational complexity of reconstructing lattice sets from their x-rays
Discrete Mathematics
Principles of computerized tomographic imaging
Principles of computerized tomographic imaging
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Advances in Discrete Tomography and Its Applications (Applied and Numerical Harmonic Analysis)
Advances in Discrete Tomography and Its Applications (Applied and Numerical Harmonic Analysis)
A Network Flow Algorithm for Reconstructing Binary Images from Continuous X-rays
Journal of Mathematical Imaging and Vision
Analysis on the strip-based projection model for discrete tomography
Discrete Applied Mathematics
Fundamentals of Computerized Tomography: Image Reconstruction from Projections
Fundamentals of Computerized Tomography: Image Reconstruction from Projections
Discrete tomography by convex-concave regularization and D.C. programming
Discrete Applied Mathematics - Special issue: IWCIA 2003 - Ninth international workshop on combinatorial image analysis
DART: A Practical Reconstruction Algorithm for Discrete Tomography
IEEE Transactions on Image Processing
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Discrete tomography deals with tomographic reconstruction of greyscale images for which the set of possible grey levels is discrete and small. Here, we develop a discrete approximate reconstruction algorithm. Our algorithm computes an image that has only grey values belonging to a given finite set. It also guarantees that the difference between the given projections and the projections of the reconstructed discrete image is bounded. The bound, which is computable, is independent of the image size. We present reconstruction experiments for a range of phantom images and a varying number of grey values.