Geometric Reasoning
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Geometric Reasoning
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Author : D. Kapur
language : en
Publisher:
Release Date : 1988
Geometric Reasoning written by D. Kapur and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
Lwb Level 1 Geometric Reasoning As1 6 Learning Workbook
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Author : Phyl Haydock
language : en
Publisher:
Release Date : 2014-08-01
Lwb Level 1 Geometric Reasoning As1 6 Learning Workbook written by Phyl Haydock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-01 with Geometry categories.
"Covers NCEA Level 1 Mathematics and Statistics AS 1.6"--cover.
Invariant Algebras And Geometric Reasoning
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Author : Hongbo Li
language : en
Publisher: World Scientific
Release Date : 2008-03-04
Invariant Algebras And Geometric Reasoning written by Hongbo Li and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-04 with Mathematics categories.
The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics — among them, Grassmann-Cayley algebra and Geometric Algebra. Nowadays, they are used as powerful languages for projective, Euclidean and other classical geometries.This book contains the author and his collaborators' most recent, original development of Grassmann-Cayley algebra and Geometric Algebra and their applications in automated reasoning of classical geometries. It includes two of the three advanced invariant algebras — Cayley bracket algebra, conformal geometric algebra, and null bracket algebra — for highly efficient geometric computing. They form the theory of advanced invariants, and capture the intrinsic beauty of geometric languages and geometric computing. Apart from their applications in discrete and computational geometry, the new languages are currently being used in computer vision, graphics and robotics by many researchers worldwide.
Geometric Reasoning For Perception And Action
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Author : Christian Laugier
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-08-30
Geometric Reasoning For Perception And Action written by Christian Laugier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-30 with Technology & Engineering categories.
Geometry is a powerful tool to solve a great number of problems in robotics and computer vision. Impressive results have been obtained in these fields in the last decade. It is a new challenge to solve problems of the actual world which require the ability to reason about uncertainty and complex motion constraints by combining geometric, kinematic, and dynamic characteristics. A necessary step is to develop appropriate geometric reasoning techniques with reasonable computational complexity. This volume is based on a workshop held in Grenoble, France,in September 1991. It contains selected contributions on several important areas in the field of robotics and computer vision. The four chapters cover the following areas: - motion planning with kinematic and dynamic constraints, - motion planning and control in the presence of uncertainty, - geometric problems related to visual perception, -numerical problems linked to the implementation of practical algorithms for visual perception.
Uncertain Projective Geometry
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Author : Stephan Heuel
language : en
Publisher: Springer
Release Date : 2004-04-22
Uncertain Projective Geometry written by Stephan Heuel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-22 with Mathematics categories.
Algebraic projective geometry, with its multilinear relations and its embedding into Grassmann-Cayley algebra, has become the basic representation of multiple view geometry, resulting in deep insights into the algebraic structure of geometric relations, as well as in efficient and versatile algorithms for computer vision and image analysis. This book provides a coherent integration of algebraic projective geometry and spatial reasoning under uncertainty with applications in computer vision. Beyond systematically introducing the theoretical foundations from geometry and statistics and clear rules for performing geometric reasoning under uncertainty, the author provides a collection of detailed algorithms. The book addresses researchers and advanced students interested in algebraic projective geometry for image analysis, in statistical representation of objects and transformations, or in generic tools for testing and estimating within the context of geometric multiple-view analysis.
Early Geometrical Thinking In The Environment Of Patterns Mosaics And Isometries
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Author : Ewa Swoboda
language : en
Publisher: Springer
Release Date : 2016-09-09
Early Geometrical Thinking In The Environment Of Patterns Mosaics And Isometries written by Ewa Swoboda and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-09 with Education categories.
This book discusses the learning and teaching of geometry, with a special focus on kindergarten and primary education. It examines important new trends and developments in research and practice, and emphasizes theoretical, empirical and developmental issues. Further, it discusses various topics, including curriculum studies and implementation, spatial abilities and geometric reasoning, as well as the psychological roots of geometrical thinking and teacher preparation in geometry education. It considers these issues from historical, epistemological, cognitive semiotic and educational points of view in the context of students' difficulties and the design of teaching and curricula.
Geometric Reasoning For Perception And Action
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Author : Christian Laugier
language : en
Publisher: Springer
Release Date : 2014-03-12
Geometric Reasoning For Perception And Action written by Christian Laugier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-12 with Technology & Engineering categories.
Geometry is a powerful tool to solve a great number of problems in robotics and computer vision. Impressive results have been obtained in these fields in the last decade. It is a new challenge to solve problems of the actual world which require the ability to reason about uncertainty and complex motion constraints by combining geometric, kinematic, and dynamic characteristics. A necessary step is to develop appropriate geometric reasoning techniques with reasonable computational complexity. This volume is based on a workshop held in Grenoble, France,in September 1991. It contains selected contributions on several important areas in the field of robotics and computer vision. The four chapters cover the following areas: - motion planning with kinematic and dynamic constraints, - motion planning and control in the presence of uncertainty, - geometric problems related to visual perception, -numerical problems linked to the implementation of practical algorithms for visual perception.
Shape Makers
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Author : Michael T. Battista
language : en
Publisher:
Release Date : 1998
Shape Makers written by Michael T. Battista and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Geometer's Sketchpad categories.
Geometric Reasoning And Proof
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Author : Victor Ditoro
language : en
Publisher:
Release Date : 1994
Geometric Reasoning And Proof written by Victor Ditoro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Elementary education of adults categories.
Invariant Algebras And Geometric Reasoning
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Author : Hongbo Li
language : en
Publisher: World Scientific
Release Date : 2008
Invariant Algebras And Geometric Reasoning written by Hongbo Li and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics OCo among them, GrassmannOCoCayley algebra and Geometric Algebra. Nowadays, they are used as powerful languages for projective, Euclidean and other classical geometries. This book contains the author and his collaborators' most recent, original development of GrassmannOCoCayley algebra and Geometric Algebra and their applications in automated reasoning of classical geometries. It includes two of the three advanced invariant algebras OCo Cayley bracket algebra, conformal geometric algebra, and null bracket algebra OCo for highly efficient geometric computing. They form the theory of advanced invariants, and capture the intrinsic beauty of geometric languages and geometric computing. Apart from their applications in discrete and computational geometry, the new languages are currently being used in computer vision, graphics and robotics by many researchers worldwide. Sample Chapter(s). Chapter 1: Introduction (252 KB). Contents: Projective Space, Bracket Algebra and GrassmannOCoCayley Algebra; Projective Incidence Geometry with Cayley Bracket Algebra; Projective Conic Geometry with Bracket Algebra and Quadratic Grassmann-Cayley Algebra; Inner-product Bracket Algebra and Clifford Algebra; Geometric Algebra; Euclidean Geometry and Conformal GrassmannOCoCayley Algebra; Conformal Clifford Algebra and Classical Geometries. Readership: Graduate students in discrete and computational geometry, and computer mathematics; mathematicians and computer scientists.
