(2015.6.18 14:30 Z311)Prof. Jianliang Qian:Adjoint state method for the identification problem in single-photon emission computerized tomography (SPECT)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Prof. Jianliang Qian,Department of Mathematics, Michigan State University
Inviter:
Chong Chen
Title:
Adjoint state method for the identification problem in single-photon emission computerized tomography (SPECT)
Time & Venue:
2015.6.18 14:30-15:30 Z311
Abstract:
Motivated by recent theoretical results for the identification problem arising in single-photon emission computerized tomography (SPECT), we propose an adjoint state method for recovering both the source and the attenuation in the attenuated X-ray transform. Our starting point is the transport-equation characterization of the attenuated X-ray transform, and we apply efficient fast sweeping methods to solve static transport equations and adjoint state equations. Numerous examples are presented to demonstrate various features of the identification problem, such as uniqueness and non-uniqueness, stability and instability, and recovery of the wave front set.
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