Volume 2
by Jean-Charles Pinoli (Author)
Mathematical Imaging is currently a
rapidly growing field in applied mathematics, with an increasing need
for theoretical mathematics.
This book, the second of two
volumes, emphasizes the role of mathematics as a rigorous basis for
imaging sciences. It provides a comprehensive and convenient overview of
the key mathematical concepts, notions, tools and frameworks involved
in the various fields of gray-tone and binary image processing and
analysis, by proposing a large, but coherent, set of symbols and
notations, a complete list of subjects and a detailed bibliography. It
establishes a bridge between the pure and applied mathematical
disciplines, and the processing and analysis of gray-tone and binary
images. It is accessible to readers who have neither extensive
mathematical training, nor peer knowledge in Image Processing and
Analysis.
It is a self-contained book focusing on the
mathematical notions, concepts, operations, structures, and frameworks
that are beyond or involved in Image Processing and Analysis. The
notations are simplified as far as possible in order to be more
explicative and consistent throughout the book and the mathematical
aspects are systematically discussed in the image processing and
analysis context, through practical examples or concrete illustrations.
Conversely, the discussed applicative issues allow the role of
mathematics to be highlighted.
Written for a broad audience –
students, mathematicians, image processing and analysis specialists, as
well as other scientists and practitioners – the author hopes that
readers will find their own way of using the book, thus providing a
mathematical companion that can help mathematicians become more familiar
with image processing and analysis, and likewise, image processing and
image analysis scientists, researchers and engineers gain a deeper
understanding of mathematical notions and concepts.
