Researchers at the Los Alamos National Laboratory (LANL) are
interested in quantitatively reconstructing an object using Abel
transform x-ray tomography. Specifically, they obtain a radiograph
by x-raying an object and attempt to quantitatively determine the
number and types of materials and the thicknesses of each material
layer. Their current methodologies either fail to provide a
quantitative description of the object or are generally too slow to
be useful in practice. As an alternative, the problem is modeled
here as a mixed variable programming (MVP) problem, in which some
variables are nonnumeric and for which no derivative information is
available. The generalized pattern search (GPS) algorithm for
linearly constrained MVP problems is applied to the x-ray
tomography problem, by means of the NOMADm MATLABr software
package. Numerical results are provided for several test
configurations of cylindrically symmetrical objects and show that,
while there are difficulties to be overcome by researchers at LANL,
this method is promising for solving x-ray tomography object
reconstruction problems in practice.
General
Imprint: |
Biblioscholar
|
Country of origin: |
United States |
Release date: |
November 2012 |
First published: |
November 2012 |
Authors: |
Kevin Robert O'Reilly
|
Dimensions: |
246 x 189 x 5mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
100 |
ISBN-13: |
978-1-288-28605-8 |
Categories: |
Books >
Social sciences >
Education >
General
|
LSN: |
1-288-28605-8 |
Barcode: |
9781288286058 |
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