Theory of linear and integer programming
Theory of linear and integer programming
The discrete Radon transform and its approximate inversion via linear programming
Discrete Applied Mathematics
Binary vectors partially determined by linear equation systems
Discrete Mathematics
Reconstruction of pictures from their projections
Communications of the ACM
Approximating Binary Images from Discrete X-Rays
SIAM Journal on Optimization
The Ordered Subsets Mirror Descent Optimization Method with Applications to Tomography
SIAM Journal on Optimization
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We present a new method of computerized tomography based on linear programming. The approach is based on three main ideas: covering the set of pixels by digital lines, introducing a variable of maximal error in the linear constraints and adding in the objective function an entropy term.