Guide to Geometric Algebra in Practice
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 computat...
| Συγγραφή απο Οργανισμό/Αρχή: | |
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| Άλλοι συγγραφείς: | , |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
London :
Springer London,
2011.
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| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.
