Choquet integrals as projection operators for quantified tomographic reconstruction

Authors:
Agnès Rico;Olivier Strauss;Denis Mariano-Goulart
Affiliations:
LIRIS Equipe MA2D, Université Claude Bernard Lyon I, 43 bld du 11 novembre 1918, 69622 Villeurbanne, France;LIRMM Université Montpellier II, 61 rue Ada, 34392 Montpellier cedex 5, France;CHU LAPEYRONIE, Service Central de Médecine Nucléaire,371, avenue du doyen Gaston Giraud 34295 Montpellier cedex 5, France
Venue:
Fuzzy Sets and Systems
Year:
2009

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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.