# Image Reconstruction from Truncated Data in Single-Photon Emission Computed Tomomgraphy with Uniform Attenuation

Abstract : We present a mathematical analysis of the problem of image reconstruction from truncated data in two-dimensional (2D) single-photon emission computed tomography (SPECT). Recent results in classical tomography have shown that accurate reconstruction of some parts of the object is possible in the presence of truncation. We have investigated how these results extend to 2D parallel-beam SPECT, assuming that the attenuation map is known and constant in a convex region $\Omega$ that includes all activity sources. Our main result is a proof that, just like in classical tomography accurate SPECT reconstruction at a given location x ∈ $\Omega$,does not require the data on all lines passing through $\Omega$; some amount of truncation can be tolerated. Experimental reconstruction results based on computer-simulated data are given in support of the theory.
Document type :
Journal articles
Domain :

https://hal-ujm.archives-ouvertes.fr/ujm-00137068
Contributor : Rolf Clackdoyle <>
Submitted on : Friday, March 16, 2007 - 3:09:02 PM
Last modification on : Thursday, June 4, 2020 - 10:24:03 AM
Long-term archiving on: : Wednesday, April 7, 2010 - 1:37:39 AM

### File

2007.InverseProblems.FN-MD-JP-...
Publisher files allowed on an open archive

### Citation

Frederic Noo, Michel Defrise, Jed Pack, Rolf Clackdoyle. Image Reconstruction from Truncated Data in Single-Photon Emission Computed Tomomgraphy with Uniform Attenuation. Inverse Problems, IOP Publishing, 2007, pp.645-667. ⟨10.1088/0266-5611/23/2/011⟩. ⟨ujm-00137068⟩

Record views