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The Inverse Kinematics (IK) problem is to nd robot control parameters to bring it into the desired position under the kinematics and collision constraints.
A kinematic notation for lower pair mechanisms based on matrices
Richard S Hartenberg and Jacques Denavit · 1955
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Theory of machines and mechanisms
J.E. Shigley and J.J. Uicker · 1980
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The complexity of the word problems for commutative semigroups and polynomial ideals
Ernst W Mayr and Albert R Meyer · 1982
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Kinematic analysis of the 6r manipulator of general geometry
Madhusudan Raghaven and Bernard Roth · 1990
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Numerical continuation methods for solving polynomial systems arising in kinematics
Charles W. Wampler, Alexander P. Morgan, and Andrew J. Sommese · 1990
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Generalized stewart platform: How to compute with rigid motions
Daniel Lazard · 1993
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Inverse kinematics of the general 6r manipulator and related linkages
Manasa Raghavan and Bernard Roth · 1993
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Efficient inverse kinematics for general 6r manipulators
Dinesh Manocha and John F. Canny · 1994
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Solving polynomial systems for the kinematic analysis and synthesis of mechanisms and robot manipulators
Manasa Raghavan and Bernard Roth · 1995
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A new efficient algorithm for computing gröbner bases (f4)
Jean-Charles Faugére · 1999
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Global optimization with polynomials and the problem of moments
Jean Bernard Lasserre · 2001
Cited alongside, same era.
A new efficient algorithm for computing grÖbner bases without reduction to zero (f5)
Jean Charles Faugère · 2002
Cited alongside, same era.
Gloptipoly: Global optimization over polynomials with matlab and sedumi
Didier Henrion and Jean-Bernard Lasserre · 2003
Cited alongside, same era.
Introduction to inverse kinematics with jacobian transpose, pseudoinverse and damped least squares methods
Samuel R Buss · 2004
Cited alongside, same era.
Theory of Applied Robotics: Kinematics, Dynamics, and Control
Reza Jazar · 2007
Cited alongside, same era.
Ideals, varieties, and algorithms: an introduction to computational algebraic geometry and commutative algebra
David Cox, John Little, and Donal OShea · 2013
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An exact duality theory for semidefinite programming based on sums of squares
Igor Klep and Markus Schweighofer · 2013
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Whole-body motion planning with centroidal dynamics and full kinematics
Hongkai Dai, Andrés Valenzuela, and Russ Tedrake · 2014
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Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra
David A. Cox, John Little, and Donald O’Shea · 2015
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An introduction to polynomial and semi-algebraic optimization
Jean Bernard Lasserre · 2015
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The MOSEK optimization toolbox for MATLAB manual. Version 8.0
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Gloptipoly 3: moments, optimization and semidefinite programming
Didier Henrion, Jean-Bernard Lasserre, and Johan Löfberg · 2009
Cited alongside, same era.
Automated Construction of Robotic Manipulation Programs
Rosen Diankov · 2010
Cited alongside, same era.
An experimental evaluation of a novel minimum-jerk cartesian controller for humanoid robots
Ugo Pattacini, Francesco Nori, Lorenzo Natale, Giorgio Metta, and Giulio Sandini · 2010
Cited alongside, same era.
MOSEK ApS · 2016
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Robust inverse kinematics by configuration control for redundant manipulators with seven dof
I Kuhlemann, A Schweikard, P Jauer, and F Ernst · 2016
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Global inverse kinematics via mixed-integer convex optimization
Hongkai Dai, Gregory Izatt, and Russ Tedrake · 2017
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Beyond grobner bases: Basis selection for minimal solvers
Viktor Larsson, Magnus Oskarsson, Kalle Åström, Alge Wallis, Zuzana Kukelova, and Tomás Pajdla · 2018
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