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Article Dans Une Revue Journal of Mathematical Imaging and Vision Année : 2014

Efficient binary tomographic reconstruction

Hugo Leclerc
François Hild

Résumé

Tomographic reconstruction of a binary image from few projections is considered. A novel {\em heuristic} algorithm is proposed, the central element of which is a nonlinear transformation f(p)=log(p/(1-p)) of the probability p that a pixel of the sought image be 1-valued. It consists of backprojections based on f(p) and iterative corrections. Application of this algorithm to a series of artificial test cases leads to exact binary reconstructions, (i.e. recovery of the binary image for each single pixel) from the knowledge of projection data over a few directions. Images up to 10^6 pixels are reconstructed in a few seconds. A series of test cases is performed for comparison with previous methods, showing a better efficiency and reduced computation times.
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Dates et versions

hal-01003479 , version 1 (10-06-2014)

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Stéphane Roux, Hugo Leclerc, François Hild. Efficient binary tomographic reconstruction. Journal of Mathematical Imaging and Vision, 2014, 49 (2), pp.335-351. ⟨10.1007/s10851-013-0465-0⟩. ⟨hal-01003479⟩
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