Efficient binary tomographic reconstruction

Abstract : 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 $\psi(p)=\log(p/(1-p))$ of the probability $p$ that a pixel of the sought image be 1-valued. It consists of backprojections based on $\psi(p)$ and iterative corrections. Application of this algorithm to a series of artificial test cases leads to exact binary reconstructions, (\ie 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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https://hal.archives-ouvertes.fr/hal-00857788
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Submitted on : Wednesday, September 4, 2013 - 9:39:58 AM
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  • HAL Id : hal-00857788, version 1
  • ARXIV : 1309.0985

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Stephane Roux, Hugo Leclerc, François Hild. Efficient binary tomographic reconstruction. 2012. ⟨hal-00857788⟩

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