Download Advances in Imaging and Electron Physics, Vol. 151 by Peter W. Hawkes PDF

By Peter W. Hawkes

Advances in Imaging and Electron Physics merges long-running serials-Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. This sequence good points prolonged articles at the physics of electron units (especially semiconductor devices), particle optics at low and high energies, microlithography, photo technological know-how and electronic photograph processing, electromagnetic wave propagation, electron microscopy, and the computing tools utilized in these kinds of domain names.
An very important function of those Advances is that the topics are written in one of these method that they are often understood via readers from different specialities.

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Extra resources for Advances in Imaging and Electron Physics, Vol. 151

Example text

35). Obviously |x| cos ε = ω · x = ρ. (38) We compute the distance r measured from x/2 to ρω with the help of the law of cosine: r2 = 1 |x| 2 2 1 + ρ 2 − 2 |x|ρ cos ε. 2 (39) Exchanging |x| cos ε by ρ yields r = |x|/2, which is independent of ρ and ω. In other words, the Radon values required in Eq. (35) are located on the surface of a sphere with radius r. The center of this Radon sphere is located at x/2 as illustrated in Figure 14. As discussed previously, a CT scanner measures line integrals, such that Eq.

Together with Eq. (101) this leads to (sκ2 (s1 ) + s1 )/2 < (sκ2 (s3 ) + s3 )/2 and sκ2 (s3 ) < s1 < s3 < sκ2 (s1 ), which is clearly a contradiction.

F IGURE 29. Figure 25. Sets of filter lines for a particular point on the line for the two cases shown in point on the line and the circle plane. Since Eq. (22) depends on z, the sets of filter lines vary for different positions on the line. Figure 28 considers the two different cases for the choice of CBP (x). The backprojection segment is drawn bold, and the projection of the Pi-line is dashed. , on the segments drawn bold in Figure 28. This results in the filter-line sets depicted in Figure 29 for the two cases.

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