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Recently, much attention has been paid to image processing with
multiresolution and hierarchical structures such as pyramids and
trees. This volume deals with recursive pyramids, which combine the
advantages of available multiresolution structures and which are
convenient both for global and local image processing. Recursive
pyramids are based on regular hierarchical (recursive) structures
containing data on image fragments of different sizes. Such an
image representation technique enables the effective manipulation
of pictorial information as well as the development of special
hardware or data structures. The major aspects of this book are two
original mathematical models of greyscale and binary images
represented by recursive structures. Image compression,
transmission and processing are discussed using these models. A
number of applications are presented, including optical character
recognition, expert systems and special computer architecture for
pictorial data processing. The majority of results are presented as
algorithms applicable to discrete information fields of arbitrary
dimensions (e.g. 2-D or 3-D images). The book is divided into six
chapters: Chapter 1 provides a brief introduction. Chapter 2 then
deals with recursive structures and their properties. Chapter 3
introduces pyramidal image models. Image coding and the progressive
transmission of images with gradual refinement are discussed in
Chapter 4. Chapters 5 and 6 are devoted to image processing with
pyramidal-recursive structures and applications. The volume
concludes with a comprehensive bibliography. For applied
mathematicians and computer scientists whose work involves computer
vision, information theory and other aspects of image
representation techniques.
One service mathematics has rendered the "Et moi, .... si j'a\'ait
su comment en revenir, human race. It has put common sense back je
n'y scrais point alit: Jules Verne where it belongs, on the topmost
shelf next to the dusty canister labc\led 'discarded non The series
is divergent; therefore we may be sense'. Eric T. 8c\l able to do
something with it. O. Hcaviside Mathematics is a tool for thought.
A highly necessary tool in a world where both feedback and non
linearities abound. Similarly, all kinds of parts of mathematics
serve as tools for other parts and for other sciences. Applying a
simple rewriting rule to the quote on the right above one finds
such statements as: 'One service topology has rendered mathematical
physics .. .'; 'One service logic has rendered com puter science ..
.'; 'One service category theory has rendered mathematics .. .'.
All arguably true. And all statements obtainable this way form part
of the raison d'etre of this series."
One service mathematics has rendered the "Et moi, .... si j'a\'ait
su comment en revenir, human race. It has put common sense back je
n'y scrais point alit: Jules Verne where it belongs, on the topmost
shelf next to the dusty canister labc\led 'discarded non The series
is divergent; therefore we may be sense'. Eric T. 8c\l able to do
something with it. O. Hcaviside Mathematics is a tool for thought.
A highly necessary tool in a world where both feedback and non
linearities abound. Similarly, all kinds of parts of mathematics
serve as tools for other parts and for other sciences. Applying a
simple rewriting rule to the quote on the right above one finds
such statements as: 'One service topology has rendered mathematical
physics .. .'; 'One service logic has rendered com puter science ..
.'; 'One service category theory has rendered mathematics .. .'.
All arguably true. And all statements obtainable this way form part
of the raison d'etre of this series."
Recently, much attention has been paid to image processing with
multi-resolution and hierarchical structures such as pyramids and
trees. This volume deals with recursive pyramids, which combine the
advantages of available multiresolution structures and which are
convenient both for global and local image processing. Recursive
pyramids are based on regular hierarchical (recursive) structures
containing data on image fragments of different sizes. Such an
image representation technique enables the effective manipulation
of pictorial information as well as the development of special
hardware or data structures. The major aspects of this book are two
original mathematical models of greyscale and binary images
represented by recursive structures. Image compression,
transmission and processing are discussed using these models. A
number of applications are presented, including optical character
recognition, expert systems and special computer architecture for
pictorial data processing. The majority of results are presented as
algorithms applicable to discrete information fields of arbitrary
dimensions (e.g. 2-D or 3-D images). The book is divided into six
chapters: Chapter 1 provides a brief introduction. Chapter 2 then
deals with recursive structures and their properties. Chapter 3
introduces pyramidal image models. Image coding and the progressive
transmission of images with gradual refinement are discussed in
Chapter 4. Chapters 5 and 6 are devoted to image processing with
pyramidal-recursive structures and applications. The volume
concludes with a comprehensive bibliography. This work should
interest applied mathematicians and computer scientists whose work
involves computer vision, information theory and other aspects of
image representation techniques.
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