ABSTRACT
This chapter describes image reconstruction in nuclear magnetic resonance imaging. Image reconstruction in nuclear magnetic resonance imaging is performed by the inverse Fourier transform operation. Vector addition of the magnetic moments of the different portions of the samples is a major advantage of nuclear magnetic resonance imaging. Nuclear magnetic resonance imaging is performed by inducing a magnetic moment, M, in the sample, manipulating the magnetic moment in a sometimes complicated manner, and then detecting the resulting signal. The signal produced is due to the precession of the magnetic moment induced in the sample. The rotating magnetic moment will produce a signal in a coil of wire surrounding the sample in the same way that power is generated in an electric generator. This signal is called the free induction decay. The image, spectrum domain provides a very natural method of understanding one-dimensional spatial encoding.
