Enhanced local tomography

Patent · 31 December 1995

OSTI ID:870586

Katsevich, Alexander J ^[1]; Ramm, Alexander G ^[2]

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1. Los Alamos, NM
2. Manhattan, KS

Local tomography is enhanced to determine the location and value of a discontinuity between a first internal density of an object and a second density of a region within the object. A beam of radiation is directed in a predetermined pattern through the region of the object containing the discontinuity. Relative attenuation data of the beam is determined within the predetermined pattern having a first data component that includes attenuation data through the region. In a first method for evaluating the value of the discontinuity, the relative attenuation data is inputted to a local tomography function .function..sub..LAMBDA. to define the location S of the density discontinuity. The asymptotic behavior of .function..sub..LAMBDA. is determined in a neighborhood of S, and the value for the discontinuity is estimated from the asymptotic behavior of .function..sub..LAMBDA.. In a second method for evaluating the value of the discontinuity, a gradient value for a mollified local tomography function .gradient..function..sub..LAMBDA..epsilon. (x.sub.ij) is determined along the discontinuity; and the value of the jump of the density across the discontinuity curve (or surface) S is estimated from the gradient values.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM
• Assignee: Regents of University of California (Alameda, CA)
• Patent Number(s): US 5550892
• OSTI ID: 870586
• Country of Publication: United States
• Language: English

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