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Choquet Integrals as Projection Operators for Quantified Tomographic Reconstruction

Agnès Rico 1, * Denis Mariano-Goulart 2 Olivier Strauss 3
* Corresponding author
3 ICAR - Image & Interaction
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : In this paper, we propose to investigate and analyze a new method for performing quantified projection and back-projection in emission tomography. This method is based on using non-summative kernels, capacities and asymmetric Choquet integral to obtain imprecise projected values (i.e. intervals instead of usual reconstructed pixel values). Validation studies using numerical and physical single photon computed emission tomography (SPECT) phantoms were used to demonstrate links between the length of these reconstructed intervals and the stochastic noise level in reconstructed slices.
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-00366788
Contributor : Olivier Strauss <>
Submitted on : Monday, March 9, 2009 - 4:36:37 PM
Last modification on : Tuesday, June 1, 2021 - 2:08:03 PM
Long-term archiving on: : Friday, October 12, 2012 - 1:20:41 PM

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Agnès Rico, Denis Mariano-Goulart, Olivier Strauss. Choquet Integrals as Projection Operators for Quantified Tomographic Reconstruction. Fuzzy Sets and Systems, Elsevier, 2009, 160 (2), pp.198-211. ⟨10.1016/j.fss.2008.03.020⟩. ⟨lirmm-00366788⟩

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