Advances in Imaging and Electron Physics, Vol. 151 - download pdf or read online

By Peter W. Hawkes

ISBN-10: 0123742188

ISBN-13: 9780123742186

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 positive factors prolonged articles at the physics of electron units (especially semiconductor devices), particle optics at low and high energies, microlithography, photo technology and electronic photograph processing, electromagnetic wave propagation, electron microscopy, and the computing equipment utilized in most of these domain names.
An very important characteristic of those Advances is that the themes are written in this kind of method that they are often understood by means of readers from different specialities.

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

Sample text

83) cos ϕ Here, L is the distance from the projected object point to the projected focalspot position. This distance is related to λ via L , (84) cos λ = |x − y(s)| such that we derive from Eq. (83) ds cos λ = dt. (85) |x − y(s)| R cos ϕ 32 BONTUS AND KÖHLER F IGURE 22. Projection of the object point x into the xy-plane. While angle s is measured from the rotation axis, angle t is measured from the object point. Using this result, the backprojection formula Eq. (82) becomes μ(x) = −1 2π 2 I˜BP (x) dt R cos ϕ Ne μν P˜ν t, u (x, t), v (x, t) .

Therefore, some object points experience a sunrise and a sunset up to n times along the helix, a phenomenon known as interrupted illumination. See Figure 11 for an example. Similar to the definition of the RECONSTRUCTION ALGORITHMS 15 F IGURE 10. The Pi segment of the exemplified object point x along the helix is printed bold. From each point y H (s) within the Pi segment, x is located between the Pi-window surfaces shown in Figure 8. F IGURE 11. Left: The bold points denote the 3-Pi segment of the exemplified object point.

0. According to Eq. (42) we have to set x˜ = y˜ = 0 for these planes. In other words, planes perpendicular to the z-axis contribute only to vanishing frequency components along xy. , ϑ is small. The maximum value of ρ˜ is of the order of the largest frequency necessary to describe the object function (or the Nyquist frequency). Therefore, ρ˜ sin ϑ is much smaller than this frequency and x˜ and y˜ are small. In conclusion, Radon planes, which are nearly perpendicular to the z-axis, contribute to low-frequency components of trans-axial slices only.

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


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