Master's Thesis - Studierstube Augmented Reality Project - Graz ...
Master's Thesis - Studierstube Augmented Reality Project - Graz ...
Master's Thesis - Studierstube Augmented Reality Project - Graz ...
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3.3 Signal localization<br />
1. A gradient field modulates B 0 , so that only one slice can be excited by a certain<br />
RF-pulse with a certain bandwidth.<br />
2. Two other gradients modulate the resulting signal, so that the lines of an excited<br />
slice are phase encoded and the contained frequencies can be discriminative split<br />
up.<br />
Section 3.3.1 and 3.3.2 describes this mechanism more precisely.<br />
3.3.1 Slice Selection<br />
Modern medical imaging requires the formation of an arbitrary cross section through<br />
the body. In MRI such a slice or section 1 can be spatially selective excited by using<br />
a linear gradient field augmenting the field B 0 and a ’shaped’ RF-pulse of a certain<br />
bandwidth. Both the slope of the gradient and the bandwidth of the RF-pulse will<br />
influence the thickness of the selected slice and its shape. The lateral profile of a slice is<br />
for small flip angles approximately the Fourier-transformed of the RF-pulse itself. The<br />
slope of the used gradient affects how many spins will be addressable and how much of<br />
the volume will be excited by the RF-pulse. Figure 3.5 shows the relationship between<br />
slope and bandwidth and their effects on the segment’s profile and dilatation.<br />
Figure 3.5: The slice-profile depends on the RF-excitation pulse and the slope of the<br />
slice selection gradient.<br />
Direct transcription of the former assumption would require using a sinc pulse with<br />
a finite frequency bandwidth of ω hf = ω 0 . The Fourier transformation of such a pulse<br />
1 ’slice’ and ’section’ refers to the same in the following context.<br />
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