Guide to Geometric Algebra in Practice
(Sprache: Englisch)
GA, or Clifford Algebra, is a powerful unifying framework for geometric computations. This volume is a practical guide that reviews algebraic techniques for geometrical problems in computer science and engineering, and the relationships between them.
Voraussichtlich lieferbar in 3 Tag(en)
versandkostenfrei
Buch (Kartoniert)
160.49 €
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenlose Rücksendung
- Ratenzahlung möglich
Produktdetails
Produktinformationen zu „Guide to Geometric Algebra in Practice “
GA, or Clifford Algebra, is a powerful unifying framework for geometric computations. This volume is a practical guide that reviews algebraic techniques for geometrical problems in computer science and engineering, and the relationships between them.
Klappentext zu „Guide to Geometric Algebra in Practice “
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 and hardware tools. 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) in the appendices; 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.
Inhaltsverzeichnis zu „Guide to Geometric Algebra in Practice “
- How to Read this Guide to Geometric Algebra in PracticeLeo Dorst and Joan Lasenby
Part I: Rigid Body Motion
- Rigid Body Dynamics and Conformal Geometric Algebra
Anthony Lasenby, Robert Lasenby and Chris Doran
- Estimating Motors from a Variety of Geometric Data in 3D Conformal Geometric Algebra
Robert Valkenburg and Leo Dorst
- Inverse Kinematics Solutions Using Conformal Geometric Algebra
Andreas Aristidou and Joan Lasenby
- 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
Leo Dorst and Robert Valkenburg
- Attitude and Position Tracking / Kinematics
L.P Candy and J Lasenby
- Calibration of Target Positions using Conformal Geometric Algebra
Robert Valkenburg and Nawar Alwesh
Part III: Image Processing
- Quaternion Atomic Function for Image Processing
Eduardo Bayro-Corrochano and Ulises Moya-Sánchez
- Color Object Recognition Based on a Clifford Fourier Transform
Jose Mennesson, Christophe Saint-Jean and Laurent Mascarilla
Part IV: Theorem Proving and Combinatorics
- On Geometric Theorem Proving with Null Geometric Algebra
Hongbo Li and Yuanhao Cao
- On the Use of Conformal Geometric Algebra in Geometric Constraint Solving
Philippe Serré, Nabil Anwer and JianXin Yang
- On the Complexity of Cycle Enumeration for Simple Graphs
René Schott and G. Stacey Staples
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
Hongbo Li and Lixian Zhang
- A Framework for n-dimensional Visibility Computations
L. Aveneau, S. Charneau, L Fuchs and F. Mora
... mehr
Part VI: Alternatives to Conformal Geometric Algebra
- On the Homogeneous Model of Euclidean Geometry
Charles Gunn
- A Homogeneous Model for 3-Dimensional Computer Graphics Based on the Clifford Algebra for R3
Ron Goldman
- Rigid-Body Transforms using Symbolic Infinitesimals
Glen Mullineux and Leon Simpson
- Rigid Body Dynamics in a Constant Curvature Space and the '1D-up' Approach to Conformal Geometric Algebra
Anthony Lasenby
Part VII: Towards Coordinate-Free Differential Geometry
- The Shape of Differential Geometry in Geometric Calculus
David Hestenes
- On the Modern Notion of a Moving Frame
Elizabeth L. Mansfield and Jun Zhao
- Tutorial: Structure Preserving Representation of Euclidean Motions through Conformal Geometric Algebra
Leo Dorst
- On the Homogeneous Model of Euclidean Geometry
Charles Gunn
- A Homogeneous Model for 3-Dimensional Computer Graphics Based on the Clifford Algebra for R3
Ron Goldman
- Rigid-Body Transforms using Symbolic Infinitesimals
Glen Mullineux and Leon Simpson
- Rigid Body Dynamics in a Constant Curvature Space and the '1D-up' Approach to Conformal Geometric Algebra
Anthony Lasenby
Part VII: Towards Coordinate-Free Differential Geometry
- The Shape of Differential Geometry in Geometric Calculus
David Hestenes
- On the Modern Notion of a Moving Frame
Elizabeth L. Mansfield and Jun Zhao
- Tutorial: Structure Preserving Representation of Euclidean Motions through Conformal Geometric Algebra
Leo Dorst
... weniger
Bibliographische Angaben
- 2014, 2011, XVII, 458 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Herausgegeben: Leo Dorst, Joan Lasenby
- Verlag: Springer, Berlin
- ISBN-10: 1447158970
- ISBN-13: 9781447158974
Sprache:
Englisch
Kommentar zu "Guide to Geometric Algebra in Practice"
0 Gebrauchte Artikel zu „Guide to Geometric Algebra in Practice“
| Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
|---|
Schreiben Sie einen Kommentar zu "Guide to Geometric Algebra in Practice".
Kommentar verfassen