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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 />

45

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