STATE ESTIMATION FOR ROBOTICS
viii Contents 7 Matrix Lie Groups 215 7.1 Geometry 215 7.1.1 Special Orthogonal and Special Euclidean Groups 215 7.1.2 Lie Algebras 217 7.1.3 Exponential Map 219 7.1.4 Adjoints 226 7.1.5 Baker-Campbell-Hausdor 230 7.1.6 Distance, Volume, Integration 237 7.1.7 Interpolation 240 7.1.8 Homogeneous Points 246 7.1.9 Calculus and Optimization 246 7.1.10 Identities 254 7.2 Kinematics 255
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