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Line Geometry in Terms of the Null Geometric Algebra over ℝ3,3, and Application to the Inverse Singularity Analysis of Generalized Stewart Platforms
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Author(s):
Hongbo Li
,
Lixian Zhang
Publication date
(Print):
2011
Publisher:
Springer London
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A Platform with Six Degrees of Freedom
D. Stewart
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Singularity analysis of closed-loop kinematic chains
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Publication date (Print):
2011
Pages
: 253-272
DOI:
10.1007/978-0-85729-811-9_13
SO-VID:
461a60f5-2bfb-4948-80e9-0aed1dbaacf0
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Book chapters
pp. 3
Rigid Body Dynamics and Conformal Geometric Algebra
pp. 25
Estimating Motors from a Variety of Geometric Data in 3D Conformal Geometric Algebra
pp. 47
Inverse Kinematics Solutions Using Conformal Geometric Algebra
pp. 63
Reconstructing Rotations and Rigid Body Motions from Exact Point Correspondences Through Reflections
pp. 81
Square Root and Logarithm of Rotors in 3D Conformal Geometric Algebra Using Polar Decomposition
pp. 105
Attitude and Position Tracking
pp. 127
Calibration of Target Positions Using Conformal Geometric Algebra
pp. 151
Quaternion Atomic Function for Image Processing
pp. 175
Color Object Recognition Based on a Clifford Fourier Transform
pp. 195
On Geometric Theorem Proving with Null Geometric Algebra
pp. 217
On the Use of Conformal Geometric Algebra in Geometric Constraint Solving
pp. 233
On the Complexity of Cycle Enumeration for Simple Graphs
pp. 253
Line Geometry in Terms of the Null Geometric Algebra over ℝ3,3, and Application to the Inverse Singularity Analysis of Generalized Stewart Platforms
pp. 273
A Framework for n-Dimensional Visibility Computations
pp. 297
On the Homogeneous Model of Euclidean Geometry
pp. 329
A Homogeneous Model for Three-Dimensional Computer Graphics Based on the Clifford Algebra for ℝ3
pp. 353
Rigid-Body Transforms Using Symbolic Infinitesimals
pp. 371
Rigid Body Dynamics in a Constant Curvature Space and the ‘1D-up’ Approach to Conformal Geometric Algebra
pp. 393
The Shape of Differential Geometry in Geometric Calculus
pp. 411
On the Modern Notion of a Moving Frame
pp. 435
Tutorial Appendix: Structure Preserving Representation of Euclidean Motions Through Conformal Geometric Algebra
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