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Random Processes for Image Signal Processing (Hardcover)
Loot Price: R4,419
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Random Processes for Image Signal Processing (Hardcover)
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"This book gives readers an intuitive appreciation for random
functions, plus theory and processes necessary for sophisticated
applications. It covers probability theory, random processes,
canonical representation, optimal filtering, and random models.
Second in the SPIE/IEEE Series on Imaging Science &
Engineering.
It also presents theory along with applications, to help readers
intuitively appreciate random functions.
Included are special cases in which probabilistic insight is more
readily achievable. When provided, proofs are in the main body of
the text and clearly delineated; sometimes they are either not
provided or outlines of conceptual arguments are given. The intent
is to state theorems carefully and to draw clear distinctions
between rigorous mathematical arguments and heuristic explanations.
When a proof can be given at a mathematical level commensurate with
the text and when it enhances conceptual understanding, it is
usually provided; in other cases, the effort is to explain
subtleties of the definitions and properties concerning random
functions, and to state conditions under which a proposition
applies. Attention is drawn to the differences between
deterministic concepts and their random counterparts, for instance,
in the mean-square calculus, orthonormal representation, and linear
filtering. Such differences are sometimes glossed over in method
books; however, lack of differentiation between random and
deterministic analysis can lead to misinterpretation of
experimental results and misuse of techniques.
The author's motivation for the book comes from his experience in
teaching graduate-level image processing and having to end up
teaching random processes. Even students who have taken a course on
random processes have often done so in the context of linear
operators on signals. This approach is inadequate for image
processing. Nonlinear operators play a widening role in image
processing, and the spatial nature of imaging makes it
significantly different from one-dimensional signal processing.
Moreover, students who have some background in stochastic processes
often lack a unified view in terms of canonical representation and
orthogonal projections in inner product spaces."
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