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Clifford, or geometric algebra, provides a universal and powerful algebraic framework for an elegant and coherent representation of various problems occurring in computer science, signal processing, neural computing, image processing, pattern recognition, computer vision, and robotics. This book introduces the concepts and framework of Clifford algebra and provides a rich source of examples of how to work with this formalism.
Clifford algebra, then called geometric algebra, was introduced
more than a cenetury ago by William K. Clifford, building on work
by Grassmann and Hamilton. Clifford or geometric algebra shows
strong unifying aspects and turned out in the 1960s to be a most
adequate formalism for describing different geometry-related
algebraic systems as specializations of one "mother algebra" in
various subfields of physics and engineering. Recent work outlines
that Clifford algebra provides a universal and powerfull algebraic
framework for an elegant and coherent representation of various
problems occuring in computer science, signal processing, neural
computing, image processing, pattern recognition, computer vision,
and robotics. This monograph-like anthology introduces the concepts
and framework of Clifford algebra and provides computer scientists,
engineers, physicists, and mathematicians with a rich source of
examples of how to work with this formalism.
In 1986, B.K.P. Horn published a book entitled Robot Vision, which
actually discussed a wider ?eld of subjects, basically addressing
the ?eld of computer vision, but introducing "robot vision" as a
technical term. Since then, the - teraction between computer vision
and research on mobile systems (often called "robots," e.g., in an
industrial context, but also including vehicles, such as cars,
wheelchairs, tower cranes, and so forth) established a diverse area
of research, today known as robot vision. Robot vision (or, more
general, robotics) is a fast-growing discipline, already taught as
a dedicated teaching program at university level. The term "robot
vision" addresses any autonomous behavior of a technical system
supported by visual sensoric information. While robot vision
focusses on the vision process, visual robotics is more directed
toward control and automatization. In practice, however, both ?elds
strongly interact. Robot Vision 2008 was the second international
workshop, counting a 2001 workshop with identical name as the ?rst
in this series. Both workshops were organized in close cooperation
between researchers from New Zealand and Germany, and took place at
The University of Auckland, New Zealand. Participants of the 2008
workshop came from Europe, USA, South America, the Middle East, the
Far East, Australia, and of course from New Zealand.
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Computer Algebra and Geometric Algebra with Applications - 6th International Workshop, IWMM 2004, Shanghai, China, May 19-21, 2004 and International Workshop, GIAE 2004, Xian, China, May 24-28, 2004.Revised Selected Papers (Paperback, 2005 ed.)
Hongbo Li, Peter J. Olver, Gerald Sommer
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R1,661
Discovery Miles 16 610
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Ships in 10 - 15 working days
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MathematicsMechanization consistsoftheory,
softwareandapplicationofc- puterized mathematical activities such
as computing, reasoning and discovering.
ItsuniquefeaturecanbesuccinctlydescribedasAAA(Algebraization,
Algori- mization, Application). The name Mathematics Mechanization
has its origin in the work of Hao Wang (1960s), one of the pioneers
in using computers to do research in mathematics, particularly in
automated theorem proving. Since the 1970s, this research direction
has been actively pursued and extensively dev- oped by Prof.
Wen-tsun Wu and his followers. It di?ers from the closely related
disciplines like Computer Mathematics, Symbolic Computation and
Automated Reasoning in that its goal is to make algorithmic studies
and applications of mathematics the major trend of mathematics
development in the information age. The International Workshop on
Mathematics Mechanization (IWMM) was initiated by Prof. Wu in 1992,
and has ever since been held by the Key L- oratory of Mathematics
Mechanization (KLMM) of the Chinese Academy of Sciences. There have
been seven workshops of the series up to now. At each workshop,
several experts are invited to deliver plenary lectures on
cutting-edge methods and algorithms of the selected theme. The
workshop is also a forum for people working on related subjects to
meet, collaborate and exchange ideas."
This book constitutes the refereed proceedings of the International Workshop on Robot Vision, RobVis 2001, held in Auckland, New Zealand in February 2001.The 17 revised full papers presented together with 17 posters were carefully reviewed and selected from 52 submissions. The papers and posters are organized in topical sections on active perception, computer vision, robotics and video, computational stereo, robotic vision, and image acquisition.
This volume presents the proceedings of the 2nd International
Workshop on - gebraic Frames for the Perception and Action Cycle.
AFPAC 2000. held in Kiel, Germany, 10-11 September 2000. The
presented topics cover new results in the conceptualization,
design, and implementation of visual sensor-based robotics and
autonomous systems. Special emphasis is placed on the role of
algebraic modelling in the relevant disciplines, such as robotics,
computer vision, theory of multidimensional signals, and neural
computation. The aims of the workshop are twofold: ?rst, discussion
of the impact of algebraic embedding of the task at hand on the
emergence of new qualities of modelling and second, facing the
strong relations between dominant geometric problems and algebraic
modelling. The ?rst workshop in this series, AFPAC'97. inspired
several groups to i- tiate new research programs, or to intensify
ongoing research work in this ?eld, and the range of relevant
topics was consequently broadened, The approach adopted by this
workshop does not necessarily 't the mainstream of worldwide
research-granting policy. However, its search for fundamental
problems in our ?eld may very well lead to new results in the
relevant disciplines and contribute to their integration in studies
of the perception-action cycle.
This book constitutes the refereed proceedings of the 7th
International Conference on Computer Analysis of Images and
Patterns, CAIP '97, held in Kiel, Germany, in September 1997.
The volume presents 92 revised papers selected during a
double-blind reviewing process from a total of 150 high-quality
submissions. The papers are organized in topical sections on
pattern analysis, object recognition and tracking, invariants,
applications, shape, texture analysis, motion calibration,
low-level processing, structure from motion, stereo and
correspondence, segmentation and grouping, mathematical morphology,
pose estimation, and face analysis.
The book constitutes the refereed proceedings of the International
Workshop on Algebraic Frames for the Perception-Action Cycle, AFPAC
'97, held in Kiel, Germany, in September 1997.
The volume presents 12 revised full papers carefully reviewed and
selected for inclusion in the book. Also included are 10 full
invited papers by leading researchers in the area providing a
representative state-of-the-art assessment of this rapidly growing
field. The papers are organized in topical sections on PAC systems,
low level and early vision, recognition of visual structure,
processing of 3D visual space, representation and shape perception,
inference and action, and visual and motor neurocomputation.
This text is presented in German. It contains papers of a
conference held in Vienna on the occasion of the 100th anniversary
of Alexander Lernet-Holenia's birth. The essays are by: Marianne
Gruber, Wendelin Schmidt-Dengler, Claudia Tuppy, Kai Luehrs-Kaiser,
Martin Esslin, Donald G. Daviau, Krysztof Lipi ski, Helene
Barriere, Rudiger Gorner, Adolf Haslinger, Thomas Hubel, Gerald
Sommer, Walter H. Sokel, Jean-Jacques Pollet, Manfred Muller.
Die Deutsche Arbeitsgemeinschaft fur Mustererkennung veranstaltet
seit 1978 jahrlich an verschiedenen Orten ein wissenschaftliches
Symposium mit dem Ziel, Aufgabenstellungen, Denkweisen und
Forschungsergebnisse aus den Gebieten der Mustererkennung
vorzustellen, den Erfahrungs- und Ideenaustausch zwischen den
Fachleuten anzuregen und den Nachwuchs zu fordern.
In dem dieses Jahr erstmals durchgefuhrten Kontaktforum unter dem
Titel "Forum Industrie und Wissenschaft" findet der Austausch von
Industrie und Wirtschaft besondere Beachtung."
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