ABSTRACT
In this chapter, we outline the basic notions of signal theory, which will be used later throughout the book. In the section “Mathematical Models in Imaging,” we introduce notions of signals and signal space. In the section “Signal Transformations,” two basic classes of signal transformations are introduced: linear and element-wise nonlinear ones. In the section “Imaging Systems and Integral Transforms,” major imaging transforms are detailed and in the section “Statistical Models of Signals and Transformations,” the basics of the statistical approach to treatment of signals and their transformations are reviewed.
