Propagation of errors from the sensitivity image in list mode reconstruction

IEEE Transactions on Medical Imaging
Jinyi Qi, Ronald H Huesman

Abstract

List mode image reconstruction is attracting renewed attention. It eliminates the storage of empty sinogram bins. However, a single back projection of all LORs is still necessary for the pre-calculation of a sensitivity image. Since the detection sensitivity is dependent on the object attenuation and detector efficiency, it must be computed for each study. Exact computation of the sensitivity image can be a daunting task for modern scanners with huge numbers of LORs. Thus, some fast approximate calculation may be desirable. In this paper, we analyze the error propagation from the sensitivity image into the reconstructed image. The theoretical analysis is based on the fixed point condition of the list mode reconstruction. The nonnegativity constraint is modeled using the Kuhn-Tucker condition. With certain assumptions and the first-order Taylor series approximation, we derive a closed form expression for the error in the reconstructed image as a function of the error in the sensitivity image. The result shows that the error response is frequency-dependent and provides a simple expression for determining the required accuracy of the sensitivity image calculation. Computer simulations show that the theoretical results are in good ...Continue Reading

References

Jan 1, 1996·Physics in Medicine and Biology·J M Ollinger
Dec 1, 1996·Physics in Medicine and Biology·S GrootoonkT Jones
May 8, 1998·Physics in Medicine and Biology·A J ReaderR J Ott
May 8, 1998·Physics in Medicine and Biology·J QiT H Farquhar
Aug 4, 1998·IEEE Transactions on Medical Imaging·L Parra, H H Barrett
Jul 24, 2001·IEEE Transactions on Medical Imaging·R LevkovitzA Nemirovski
Nov 1, 2001·IEEE Transactions on Medical Imaging·C Byrne
Aug 31, 2002·Physics in Medicine and Biology·Jinyi Qi, Ronald H Huesman
Dec 5, 2003·Physics in Medicine and Biology·Jinyi Qi
May 1, 1994·Physics in Medicine and Biology·D W WilsonH H Barrett
Jan 1, 1996·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·J A Fessler
Jan 1, 1996·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·J A Fessler, W L Rogers

❮ Previous
Next ❯

Citations

Oct 15, 2013·Australasian Physical & Engineering Sciences in Medicine·Mahmood AkhtarSteven Meikle
Sep 24, 2005·Physics in Medicine and Biology·Jinyi Qi, Ronald H Huesman
Oct 10, 2008·Medical Physics·Charalampos TsoumpasKris Thielemans
Oct 23, 2010·Medical Physics·Jeroen Verhaeghe, Andrew J Reader
May 31, 2013·Medical Physics·Arman RahmimVesna Sossi
Apr 1, 2007·PET Clinics·Arman RahmimHabib Zaidi
Aug 2, 2008·IEEE Transactions on Medical Imaging·Arman RahmimVesna Sossi
Mar 14, 2017·IEEE Transactions on Medical Imaging·Ivan S Klyuzhin, Vesna Sossi
Sep 15, 2012·Physics in Medicine and Biology·Moulay Ali NassiriPhilippe Després
Mar 16, 2013·Physics in Medicine and Biology·J E GillamM Rafecas
Dec 30, 2010·Journal of Nuclear Medicine : Official Publication, Society of Nuclear Medicine·Ciprian CatanaA Gregory Sorensen

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.