Efficient binary tomographic reconstruction

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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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Cited literature [38 references]

https://hal.archives-ouvertes.fr/hal-00857788
Contributor : Stephane Roux <>
Submitted on : Wednesday, September 4, 2013 - 9:39:58 AM
Last modification on : Friday, May 17, 2019 - 1:23:09 AM
Long-term archiving on : Thursday, December 5, 2013 - 4:16:32 AM

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• HAL Id : hal-00857788, version 1
• ARXIV : 1309.0985

Citation

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

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