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 positive factors prolonged articles at the physics of electron units (especially semiconductor devices), particle optics at low and high energies, microlithography, picture technology and electronic picture processing, electromagnetic wave propagation, electron microscopy, and the computing equipment utilized in most of these domain names.
An very important function of those Advances is that the themes are written in this kind of approach that they are often understood by way of readers from different specialities.
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Extra info for Advances in Imaging and Electron Physics, Vol. 151
The result is known as the Tuy condition (Tuy, 1983). 24 BONTUS AND KÖHLER F IGURE 17. Every Radon plane intersects at least once with the helix (left). The circular trajectory is incomplete for object points located outside of the circle plane (right). Remember that k in Eq. (58) counts the number of IPs of the Radon plane with the backprojection segment CBP (x). Therefore, if Radon planes exist, which do not intersect with CBP (x), Eq. (58) will always give a vanishing result for these planes.
The two points P = (uP , vP ) and P = (uP , vP ) on the κ-line are separated by angle γ . The dashed line is orthogonal to the κ-line and has length . The three solid lines originating from the focal spot have lengths r, r , and r . transformed so that the points on the filter lines can be sampled equidistantly in ϕ. With the subsequent derivation we follow Noo, Pack and Heuscher (2003) but aim for a slightly different result. Consider Figure 21. It shows the planar detector and one particular κ-line.
As seen, the other two IPs of the Radon plane (besides y(s2 )) do not intersect with the backprojection segment. Eq. (58) is invariant under ω → −ω. We will use this by ensuring that ˙ = 1 in the examples given throughout this chapter. sgn(ω · y) D. Circle Plus Line This section is devoted to a trajectory consisting of a circle and a line, where the line is parallel to the z-axis. The circle and line trajectory (CLT) is best suited to demonstrate the methods used in this chapter. It is relatively easy to understand, while it requires applications to the typical case differentiations.
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