Digital Image Processing
PIKS Scientific Inside
Chapter One
CONTINUOUS IMAGE
MATHEMATICAL CHARACTERIZATION
In the design and analysis of image processing systems, it is convenient and often
necessary mathematically to characterize the image to be processed. There are two
basic mathematical characterizations of interest: deterministic and statistical. In
deterministic image representation, a mathematical image function is defined and
point properties of the image are considered. For a statistical image representation,
the image is specified by average properties. The following sections develop the
deterministic and statistical characterization of continuous images. Although the
analysis is presented in the context of visual images, many of the results can be
extended to general two-dimensional time-varying signals and fields.
1.1. IMAGE REPRESENTATION
Let C(x, y, t, [lambda]) represent the spatial energy distribution of an image source of radiant
energy at spatial coordinates (x, y), at time t and wavelength [lambda] ... read full excerpt from Digital Image Processing: PIKS Scientific Inside ebook