ABSTRACT
This chapter introduces the Fourier transformation. Fourier transform techniques are used throughout Radiology. They are used for image processing in many fields of Radiology. Fourier transform reconstruction is the primary method used in nuclear magnetic resonance imaging. The basic idea in spectroscopy is the representation of a signal in terms of its frequency components. In nuclear magnetic resonance, the chemical properties of a sample are determined from spectroscopy. In the first type of nuclear magnetic resonance spectroscopy, called continuous wave (CW) nuclear magnetic resonance, the strength of interaction of the sample with a radio frequency signal was measured directly as a function of frequency. The line spread function is the response of an imaging system to an object which is a very thin line. The Fourier transform of the line spread function is called the modulation transfer function (MTF). The MTF examines how a system will affect an input which is a sinusoidal function.
