Guide to Geometric Algebra in Practice (Record no. 105281)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 05763nam a22005535i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-0-85729-811-9 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20140220083715.0 |
| 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 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-0-85729-811-9 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA76.9.M35 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | UYAM |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | UFM |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | COM018000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT003000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 004.0151 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Dorst, Leo. |
| Relator term | editor. |
| 245 10 - TITLE STATEMENT | |
| Title | Guide to Geometric Algebra in Practice |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | edited by Leo Dorst, Joan Lasenby. |
| 264 #1 - | |
| -- | London : |
| -- | Springer London, |
| -- | 2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XVII, 458p. 123 illus. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebra |
| General subdivision | Data processing. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Artificial intelligence. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Computer graphics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Computer vision. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Computer aided design. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Computer Science. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Math Applications in Computer Science. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Symbolic and Algebraic Manipulation. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Computer Graphics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Artificial Intelligence (incl. Robotics). |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Image Processing and Computer Vision. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| 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 |
| 912 ## - | |
| -- | ZDB-2-SCS |
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