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Guide to Geometric Algebra in Practice (Record no. 20986)

000 -LEADER
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003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310151109.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 110827s2011 xxk| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780857298119
978-0-85729-811-9
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA76.9.M35
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 004.0151
Edition number 23
264 #1 -
-- London :
-- Springer London,
-- 2011.
912 ## -
-- ZDB-2-SCS
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Dorst, Leo.
Relator term editor.
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE
Title Guide to Geometric Algebra in Practice
Medium [electronic resource] /
Statement of responsibility, etc edited by Leo Dorst, Joan Lasenby.
300 ## - PHYSICAL DESCRIPTION
Extent XVII, 458p. 123 illus.
Other physical details online resource.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note How to Read this Guide to Geometric Algebra in Practice -- Part I: Rigid Body Motion -- Rigid Body Dynamics and Conformal Geometric Algebra -- Estimating Motors from a Variety of Geometric Data in 3D Conformal Geometric Algebra -- Inverse Kinematics Solutions Using Conformal Geometric Algebra -- Reconstructing Rotations and Rigid Body Motions from Exact Point Correspondences through Reflections -- Part II: Interpolation and Tracking -- Square Root and Logarithm of Rotors in 3D Conformal Geometric Algebra using Polar Decomposition -- Attitude and Position Tracking / Kinematics -- Calibration of Target Positions using Conformal Geometric Algebra -- Part III: Image Processing -- Quaternion Atomic Function for Image Processing -- Color Object Recognition Based on a Clifford Fourier Transform -- Part IV: Theorem Proving and Combinatorics -- On Geometric Theorem Proving with Null Geometric Algebra -- On the Use of Conformal Geometric Algebra in Geometric Constraint Solving -- On the Complexity of Cycle Enumeration for Simple Graphs -- Part V: Applications of Line Geometry -- Line Geometry in Terms of the Null Geometric Algebra over R3,3, and Application to the Inverse Singularity Analysis of Generalized Stewart Platforms -- A Framework for n-dimensional Visibility Computations -- Part VI: Alternatives to Conformal Geometric Algebra -- On the Homogeneous Model of Euclidean Geometry -- A Homogeneous Model for 3-Dimensional Computer Graphics Based on the Clifford Algebra for R3 -- Rigid-Body Transforms using Symbolic Infinitesimals -- Rigid Body Dynamics in a Constant Curvature Space and the ‘1D-up’ Approach to Conformal Geometric Algebra -- Part VII: Towards Coordinate-Free Differential Geometry -- The Shape of Differential Geometry in Geometric Calculus -- On the Modern Notion of a Moving Frame -- Tutorial: Structure Preserving Representation of Euclidean Motions through Conformal Geometric Algebra.
520 ## - SUMMARY, ETC.
Summary, etc Geometric algebra (GA), also known as Clifford algebra, is a powerful unifying framework for geometric computations that extends the classical techniques of linear algebra and vector calculus in a structural manner. Its benefits include cleaner computer-program solutions for known geometric computation tasks, and the ability to address increasingly more involved applications. This highly practical Guide to Geometric Algebra in Practice reviews algebraic techniques for geometrical problems in computer science and engineering, and the relationships between them. The topics covered range from powerful new theoretical developments, to successful applications, and the development of new software tools. Contributions are included from an international community of experts spanning a broad range of disciplines. Topics and features: Provides hands-on review exercises throughout the book, together with helpful chapter summaries Presents a concise introductory tutorial to conformal geometric algebra (CGA) Examines the application of CGA for the description of rigid body motion, interpolation and tracking, and image processing Reviews the employment of GA in theorem proving and combinatorics Discusses the geometric algebra of lines, lower-dimensional algebras, and other alternatives to 5-dimensional CGA Proposes applications of coordinate-free methods of GA for differential geometry This comprehensive guide/reference is essential reading for researchers and professionals from a broad range of disciplines, including computer graphics and game design, robotics, computer vision, and signal processing. In addition, its instructional content and approach makes it suitable for course use and students who need to learn the value of GA techniques. Dr. Leo Dorst is Universitair Docent (tenured assistant professor) in the Faculty of Sciences, University of Amsterdam, The Netherlands. Dr. Joan Lasenby is University Senior Lecturer in the Engineering Department of Cambridge University, U.K.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Computer science.
Topical term or geographic name as entry element Algebra
General subdivision Data processing.
Topical term or geographic name as entry element Artificial intelligence.
Topical term or geographic name as entry element Computer graphics.
Topical term or geographic name as entry element Computer vision.
Topical term or geographic name as entry element Computer aided design.
Topical term or geographic name as entry element Computer Science.
Topical term or geographic name as entry element Math Applications in Computer Science.
Topical term or geographic name as entry element Symbolic and Algebraic Manipulation.
Topical term or geographic name as entry element Computer Graphics.
Topical term or geographic name as entry element Artificial Intelligence (incl. Robotics).
Topical term or geographic name as entry element Image Processing and Computer Vision.
Topical term or geographic name as entry element Computer-Aided Engineering (CAD, CAE) and Design.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Lasenby, Joan.
Relator term editor.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9780857298102
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-0-85729-811-9
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-04-08AUM Main Library2014-04-08 2014-04-08 E-Book   AUM Main Library004.0151