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Mathematical morphology is a powerful methodology for the
processing and analysis of geometric structure in signals and
images. This book contains the proceedings of the fifth
International Symposium on Mathematical Morphology and its
Applications to Image and Signal Processing, held June 26-28, 2000,
at Xerox PARC, Palo Alto, California. It provides a broad sampling
of the most recent theoretical and practical developments of
mathematical morphology and its applications to image and signal
processing. Areas covered include: decomposition of structuring
functions and morphological operators, morphological
discretization, filtering, connectivity and connected operators,
morphological shape analysis and interpolation, texture analysis,
morphological segmentation, morphological multiresolution
techniques and scale-spaces, and morphological algorithms and
applications. Audience: The subject matter of this volume will be
of interest to electrical engineers, computer scientists, and
mathematicians whose research work is focused on the theoretical
and practical aspects of nonlinear signal and image processing. It
will also be of interest to those working in computer vision,
applied mathematics, and computer graphics.
This IMA Volume in Mathematics and its Applications RANDOM SETS:
THEORY AND APPLICATIONS is based on the proceedings of a very
successful 1996 three-day Summer Program on "Application and Theory
of Random Sets." We would like to thank the scientific organizers:
John Goutsias (Johns Hopkins University), Ronald P.S. Mahler
(Lockheed Martin), and Hung T. Nguyen (New Mexico State University)
for their excellent work as organizers of the meeting and for
editing the proceedings. We also take this opportunity to thank the
Army Research Office (ARO), the Office ofNaval Research (0NR), and
the Eagan, MinnesotaEngineering Center ofLockheed Martin Tactical
Defense Systems, whose financial support made the summer program
possible. Avner Friedman Robert Gulliver v PREFACE "Later
generations will regard set theory as a disease from which one has
recovered. " - Henri Poincare Random set theory was independently
conceived by D.G. Kendall and G. Matheron in connection with
stochastic geometry. It was however G.
Mathematical morphology is a powerful methodology for the
processing and analysis of geometric structure in signals and
images. This book contains the proceedings of the fifth
International Symposium on Mathematical Morphology and its
Applications to Image and Signal Processing, held June 26-28, 2000,
at Xerox PARC, Palo Alto, California. It provides a broad sampling
of the most recent theoretical and practical developments of
mathematical morphology and its applications to image and signal
processing. Areas covered include: decomposition of structuring
functions and morphological operators, morphological
discretization, filtering, connectivity and connected operators,
morphological shape analysis and interpolation, texture analysis,
morphological segmentation, morphological multiresolution
techniques and scale-spaces, and morphological algorithms and
applications. Audience: The subject matter of this volume will be
of interest to electrical engineers, computer scientists, and
mathematicians whose research work is focused on the theoretical
and practical aspects of nonlinear signal and image processing. It
will also be of interest to those working in computer vision,
applied mathematics, and computer graphics.
This IMA Volume in Mathematics and its Applications RANDOM SETS:
THEORY AND APPLICATIONS is based on the proceedings of a very
successful 1996 three-day Summer Program on "Application and Theory
of Random Sets." We would like to thank the scientific organizers:
John Goutsias (Johns Hopkins University), Ronald P.S. Mahler
(Lockheed Martin), and Hung T. Nguyen (New Mexico State University)
for their excellent work as organizers of the meeting and for
editing the proceedings. We also take this opportunity to thank the
Army Research Office (ARO), the Office ofNaval Research (0NR), and
the Eagan, MinnesotaEngineering Center ofLockheed Martin Tactical
Defense Systems, whose financial support made the summer program
possible. Avner Friedman Robert Gulliver v PREFACE "Later
generations will regard set theory as a disease from which one has
recovered. " - Henri Poincare Random set theory was independently
conceived by D.G. Kendall and G. Matheron in connection with
stochastic geometry. It was however G.
This book contains contributions that on the one hand represent
modern developments in the area of mathematical morphology, and on
the other hand may be of particular interest to an audience of
(theoretical) computer scientists. The introductory chapter
summarizes some basic notions and concepts of mathematical
morphology. In this chapter, a novice reader learns, among other
things, that complete lattice theory is generally accepted as the
appropriate algebraic framework for mathematical morphology. In the
following chapter it is explained that, for a number of cases, the
complete lattice framework is too limited, and that one should,
instead, work on (complete) inf-semilattices. Other chapters
discuss granulometries, analytical aspects of mathematical
morphology, and the geometric character of mathematical morphology.
Also, connectivity, the watershed transform and a formal language
for morphological transformations are being discussed. This book
has many interesting things to offer to researches in computer
science, mathematics, physics, electrical engineering and other
disciplines.
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