## Introduction |

Modern
digital technology has made it possible to manipulate multi-dimensional
signals with systems that range from simple digital circuits to advanced
parallel computers. The goal of this manipulation can be divided into
three categories: *
Image Processing *
Image Analysis *
Image Understanding We
will focus on the fundamental concepts of We
begin with certain basic definitions. An image defined in the "real
world" is considered to be a function of two real variables, for
example, The
amplitudes of a given image will almost always be either real numbers or
integer numbers. The latter is usually a result of a quantization
process that converts a continuous range (say, between 0 and 100%) to a
discrete number of levels. In certain image-forming processes, however,
the signal may involve photon counting which implies that the amplitude
would be inherently quantized. In other image forming procedures, such
as magnetic resonance imaging, the direct physical measurement yields a
complex number in the form of a real magnitude and a real phase. For the
remainder of this book we will consider amplitudes as reals or integers
unless otherwise indicated. |