A Distance Metric for Finite Sets of Rigid-Body Displacements via the Polar Decomposition
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[1] C. Galletti,et al. Metric Relations and Displacement Groups in Mechanism and Robot Kinematics , 1995 .
[2] J. M Varah,et al. Computational methods in linear algebra , 1984 .
[3] Jorge Angeles,et al. Is there a characteristic length of a rigid-body displacement?☆ , 2006 .
[4] P. Larochelle,et al. Planar Motion Synthesis Using an Approximate Bi-Invariant Metric , 1995 .
[5] Bahram Ravani,et al. Local metrics for rigid body displacements , 2004 .
[6] Eugene J. Saletan,et al. Contraction of Lie Groups , 1961 .
[7] R. Hanson,et al. Analysis of Measurements Based on the Singular Value Decomposition , 1981 .
[8] J. Duffy,et al. On the Metrics of Rigid Body Displacements for Infinite and Finite Bodies , 1995 .
[9] B. Roth,et al. Motion Synthesis Using Kinematic Mappings , 1983 .
[10] K. C. Gupta,et al. Measures of Positional Error for a Rigid Body , 1997 .
[11] F. Park. Distance Metrics on the Rigid-Body Motions with Applications to Mechanism Design , 1995 .
[12] R. J. Schilling,et al. Engineering Analysis: A Vector Space Approach , 1988 .
[13] P. Larochelle,et al. Approximating Spatial Locations With Spherical Orientations for Spherical Mechanism Design , 2000 .
[14] Calin Belta,et al. An SVD-based projection method for interpolation on SE(3) , 2002, IEEE Trans. Robotics Autom..
[15] Joel W. Burdick,et al. Objective and Frame-Invariant Kinematic Metric Functions for Rigid Bodies , 2000, Int. J. Robotics Res..
[16] D. Faddeev,et al. Computational methods of linear algebra , 1981 .
[17] Jorge Angeles,et al. Fundamentals of Robotic Mechanical Systems , 2008 .
[18] Judy M. Vance,et al. Interactive Visualization of the Line Congruences Associated with Four Finite Spatial Poses , 2000 .
[19] E. Wigner,et al. On the Contraction of Groups and Their Representations. , 1953, Proceedings of the National Academy of Sciences of the United States of America.
[20] Tom Duff,et al. Matrix animation and polar decomposition , 1992 .
[21] G. Chirikjian,et al. Metrics on Motion and Deformation of Solid Models , 1998 .
[22] K. Kreutz-Delgado,et al. - Finite-Dimensional Vector Spaces , 2018, Physical Components of Tensors.
[23] J. Michael McCarthy,et al. A metric for spatial displacement using biquaternions on SO(4) , 1996, Proceedings of IEEE International Conference on Robotics and Automation.
[24] J. Angeles,et al. A Numerically Robust Algorithm to Solve the Five-Pose Burmester Problem , 2002 .
[25] J. McCarthy. Planar and Spatial Rigid Motion as Special Cases of Spherical and 3-Spherical Motion , 1983 .
[26] Andrew P. Murray,et al. SVD and PD Based Projection Metrics on SE(n) , 2004 .
[27] R. Paul. Robot manipulators : mathematics, programming, and control : the computer control of robot manipulators , 1981 .
[28] D. T. Greenwood,et al. Advanced Dynamics: Frontmatter , 2003 .