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Guide to Geometric Algebra in Practice

How to Read this Guide to Geometric Algebra in Practice- Leo 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- Daniel Fontijne and Leo Dorst- 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-Sßnchez- 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 Serre, Nabil Anwer and JianXin Yang- On the Complexity of Cycle Enumeration for Simple Graphs- Rene 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- 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
EAN/ISBN : 9780857298119
Publisher(s): Springer, Berlin, Springer, London
Format: ePub/PDF

Author(s): Dorst, Leo - Lasenby, Joan
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