Simultaneous source and attenuation reconstruction in SPECT using ballistic and single scattering dataReport as inadecuate




Simultaneous source and attenuation reconstruction in SPECT using ballistic and single scattering data - Download this document for free, or read online. Document in PDF available to download.

Resumen

In medical single-photon emission computed tomography SPECT imaging, we seek to simultaneously obtain the internal radioactive sources and the attenuation map using not only ballistic measurements but also first-order scattering measurements and assuming a very specific scattering regime. The problem is modeled using the radiative transfer equation by means of an explicit non-linear operator that gives the ballistic and scattering measurements as a function of the radioactive source and attenuation distributions. First, by differentiating this non-linear operator we obtain a linearized inverse problem. Then, under regularity hypothesis for the source distribution and attenuation map and considering small attenuations, we rigorously prove that the linear operator is invertible and we compute its inverse explicitly. This allows proof of local uniqueness for the non-linear inverse problem. Finally, using the previous inversion result for the linear operator, we propose a new type of iterative algorithm for simultaneous source and attenuation recovery for SPECT based on the Neumann series and a Newton-Raphson algorithm.Nota general

Artículo de publicación ISI



Author: Courdurier Bettancourt, Matías; - Monard, F.; - Osses Alvarado, Axel; - Romero, F.; -

Source: http://repositorio.uchile.cl/



DOWNLOAD PDF




Related documents