Home Nanostructures • Download e-book for iPad: Advanced Tomographic Methods in Materials Research and by John Banhart

Download e-book for iPad: Advanced Tomographic Methods in Materials Research and by John Banhart

By John Banhart

ISBN-10: 0199213240

ISBN-13: 9780199213245

Tomography offers 3-dimensional photos of heterogeneous fabrics or engineering parts, and gives an unheard of perception into their inner constitution. through the use of X-rays generated by way of synchrotrons, neutrons from nuclear reactors, or electrons supplied by means of transmission electron microscopes, hitherto invisible constructions could be published which aren't available to standard tomography in keeping with X-ray tubes.This booklet is especially written for utilized physicists, fabrics scientists and engineers. It presents special descriptions of the new advancements during this box, specially the extension of tomography to fabrics study and engineering. The publication is grouped into 4 elements: a normal creation into the rules of tomography, picture research and the interactions among radiation and topic, and one half each one for synchrotron X-ray tomography, neutron tomography, and electron tomography. inside those elements, person chapters written through diversified authors describe vital models of tomography, and in addition supply examples of purposes to illustrate the capability of the tools. The accompanying CD-ROM comprises a few normal info units and courses to reconstruct, examine and visualise the third-dimensional facts.

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A step towards 3D metallography: AlSi7Mg (A357) alloy with rosette-shaped α-Al grains imaged by (a) holotomography – a 2D slice through the 3D data set is displayed – and, (b) optical microscopy of a polished section. Courtesy: Simon Zabler, Hahn-Meitner-Institute Berlin. diffraction tomography have been implemented, and yield valuable information. The high flux of synchrotron sources allows for fast measurements of radiograms in the ms range, of tomograms in the <10 s range, as compared to 30 min or more for conventional tomography.

Let us suppose that the projection data are available from N projections along M lines in each projection (for simplicity of the following formulas we assume that M is odd), in discrete positions s = mΔs and ϑ = nΔϑ. More precisely, the projection g = Rf of f is sampled as gn (m) = g(sm , ϑn ) = g(mΔs, nΔϑ), m = −(M − 1)/2, . . , (M − 1)/2, n = 0, 1, . . 17) 24 Some mathematical concepts for tomographic reconstruction where Δs > 0 denotes the sampling distance of s and Δϑ = π/N . 16. 18) i=−(M −1)/2 for m = −(M − 1)/2, −(M − 1)/2 + 1, .

5, to recover f . A problem with this method is that if a simple interpolation (such as bilinear) is used, then the reconstruction quality is much inferior to that of FBP. , 1988) that also uses FFTs but does not require any interpolations for special modes of data collection and weighted backprojection (WBP) (Radermacher, 1988) that allows, Examples of reconstruction methods 25 in principle, reconstruction of a function of three variables from arbitrarily oriented 2-dimensional projections by compensating for the shape of blurring that one would obtain by simple backprojection of the projections.

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Advanced Tomographic Methods in Materials Research and Engineering by John Banhart

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