Generalized local emission tomography

Katsevich, Alexander J

Title: Generalized local emission tomography

Patent · Thu Jan 01 00:00:00 EST 1998

OSTI ID:871366

Katsevich, Alexander J ^[1]

Los Alamos, NM

Emission tomography enables locations and values of internal isotope density distributions to be determined from radiation emitted from the whole object. In the method for locating the values of discontinuities, the intensities of radiation emitted from either the whole object or a region of the object containing the discontinuities are inputted to a local tomography function .function..sub..LAMBDA..sup.(.PHI.) to define the location S of the isotope density discontinuity. The asymptotic behavior of .function..sub..LAMBDA..sup.(.PHI.) is determined in a neighborhood of S, and the value for the discontinuity is estimated from the asymptotic behavior of .function..sub..LAMBDA..sup.(.PHI.) knowing pointwise values of the attenuation coefficient within the object. In the method for determining the location of the discontinuity, the intensities of radiation emitted from an object are inputted to a local tomography function .function..sub..LAMBDA..sup.(.PHI.) to define the location S of the density discontinuity and the location .GAMMA. of the attenuation coefficient discontinuity. Pointwise values of the attenuation coefficient within the object need not be known in this case.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

DOE Contract Number:: W-7405-ENG-36

Assignee:: Regents of University of California (Oakland, CA)

Patent Number(s):: US 5717211

OSTI ID:: 871366

Country of Publication:: United States

Language:: English

References (5)

Local Tomography Faridani, Adel; Ritman, Erik L.; Smith, Kennan T. SIAM Journal on Applied Mathematics, Vol. 52, Issue 2 https://doi.org/10.1137/0152026	journal	April 1992
Representation of a Function by Its Line Integrals, with Some Radiological Applications Cormack, A. M. Journal of Applied Physics, Vol. 34, Issue 9 https://doi.org/10.1063/1.1729798	journal	September 1963
A new fast algorithm for the evaluation of regions of interest and statistical uncertainty in computed tomography Huesman, R. H. Physics in Medicine and Biology, Vol. 29, Issue 5 https://doi.org/10.1088/0031-9155/29/5/007	journal	May 1984
On local tomography Kuchment, P.; Lancaster, K.; Mogilevskaya, L. Inverse Problems, Vol. 11, Issue 3 https://doi.org/10.1088/0266-5611/11/3/006	journal	June 1995
Mathematical foundations of computed tomography Smith, Kennan T.; Keinert, F. Applied Optics, Vol. 24, Issue 23 https://doi.org/10.1364/AO.24.003950	journal	January 1985

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