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We show how to compute globally optimal solutions to inverse kinematics (IK) by formulating the problem as an indefinite quadratically constrained quadratic program. Our approach makes it feasible to solve IK instances of generic redundant…

Robotics · Computer Science 2024-10-28 Tomáš Votroubek , Tomáš Kroupa

Solving the analytical inverse kinematics (IK) of redundant manipulators in real time is a difficult problem in robotics since its solution for a given target pose is not unique. Moreover, choosing the optimal IK solution with respect to…

Robotics · Computer Science 2023-03-28 Minh Nhat Vu , Florian Beck , Michael Schwegel , Christian Hartl-Nesic , Anh Nguyen , Andreas Kugi

Near kinematic singularities of a serial manipulator, the inverse kinematics (IK) problem becomes ill-conditioned, which poses computational problems for the numerical solution. Computational methods to tackle this issue are based on…

Robotics · Computer Science 2024-12-31 Andreas Mueller

This paper presents an efficient learning-based method to solve the inverse kinematic (IK) problem on soft robots with highly non-linear deformation. The major challenge of efficiently computing IK for such robots is due to the lack of…

Robotics · Computer Science 2022-06-07 Guoxin Fang , Yingjun Tian , Zhi-Xin Yang , Jo M. P. Geraedts , Charlie C. L. Wang

Fast inverse kinematics (IK) is a central component in robotic motion planning. For complex robots, IK methods are often based on root search and non-linear optimization algorithms. These algorithms can be massively sped up using a neural…

Robotics · Computer Science 2024-05-28 Johannes Tenhumberg , Arman Mielke , Berthold Bäuml

Trajectory planning in robotics aims to generate collision-free pose sequences that can be reliably executed. Recently, vision-to-planning systems have gained increasing attention for their efficiency and ability to interpret and adapt to…

Robotics · Computer Science 2025-11-04 Qihang Li , Zhuoqun Chen , Haoze Zheng , Haonan He , Zitong Zhan , Shaoshu Su , Junyi Geng , Chen Wang

Many applications require a robot to accurately track reference end-effector trajectories. Certain trajectories may not be tracked as single, continuous paths due to the robot's kinematic constraints or obstacles elsewhere in the…

Robotics · Computer Science 2024-06-18 Yeping Wang , Carter Sifferman , Michael Gleicher

Inverse Kinematics (IK) is a core problem in robotics, in which joint configurations are found to achieve a desired end-effector pose. Although analytical solvers are fast and efficient, they are limited to systems with low…

Robotics · Computer Science 2025-10-10 Cael Yasutake , Zachary Kingston , Brian Plancher

Many nonconvex problems in robotics can be relaxed into convex formulations via Semi-Definite Programming (SDP) that can be solved to global optimality. The practical quality of these solutions, however, critically depends on rounding them…

Robotics · Computer Science 2025-10-02 Liangting Wu , Roberto Tron

Inverse Kinematics (IK) is to find the robot's configurations that satisfy the target pose of the end effector. In motion planning, diverse configurations were required in case a feasible trajectory was not found. Meanwhile, collision…

Robotics · Computer Science 2024-08-29 Qinglong Meng , Chongkun Xia , Xueqian Wang

Hyper-redundant Robotic Manipulators (HRMs) offer great dexterity and flexibility of operation, but solving Inverse Kinematics (IK) is challenging. In this work, we introduce VO-FABRIK, an algorithm combining Forward and Backward Reaching…

Robotics · Computer Science 2024-03-11 Cristian Morasso , Daniele Meli , Yann Divet , Salvatore Sessa , Alessandro Farinelli

To control humanoid robots, the reference pose of end effector(s) is planned in task space, then mapped into the reference joints by IK. By viewing that problem as approximate quadratic programming (QP), recent QP solvers can be applied to…

Robotics · Computer Science 2023-12-06 Taisuke Kobayashi , Takanori Jin

Robotic manipulators are often designed with more actuated degrees-of-freedom than required to fully control an end effector's position and orientation. These "redundant" manipulators can allow infinite joint configurations that satisfy a…

Robotics · Computer Science 2023-08-30 Julia Ashkanazy , Ariana Spalter , Joe Hays , Laura Hiatt , Roxana Leontie , C. Glen Henshaw

Inverse kinematic (IK) methods recover the parameters of the joints, given the desired position of selected elements in the kinematic chain. While the problem is well-defined and low-dimensional, it has to be solved rapidly, accounting for…

Machine Learning · Computer Science 2022-05-24 Raphael Bensadoun , Shir Gur , Nitsan Blau , Tom Shenkar , Lior Wolf

This work presents a novel and efficient nonlinear programming framework that tightly integrates hierarchical decision-making with whole-body inverse kinematic planning and control. Decision-making plays a central role in many aspects of…

Inverse kinematics is a fundamental problem for articulated robots: fast and accurate algorithms are needed for translating task-related workspace constraints and goals into feasible joint configurations. In general, inverse kinematics for…

Robotics · Computer Science 2020-10-30 Filip Maric , Matthew Giamou , Soroush Khoubyarian , Ivan Petrovic , Jonathan Kelly

Forward and backward reaching inverse kinematics (FABRIK) is a heuristic inverse kinematics solver that is gradually applied to manipulators with the advantages of fast convergence and generating more realistic configurations. However,…

Robotics · Computer Science 2022-09-07 Zichun Xu , Yuntao Li , Xiaohang Yang , Zhiyuan Zhao , Jingdong Zhao , Hong Liu

Inverse Kinematics (IK) plays a critical role in robotic motion planning and control. The IK solutions of a robot manipulator could be done by conventional ways such as geometric, algebraic, or Jacobian methods, which have drawbacks. The…

Robotics · Computer Science 2026-05-25 Dong-Won Lim

A challenge in high-dimensional inverse problems is developing iterative solvers to find the accurate solution of regularized optimization problems with low computational cost. An important example is computed tomography (CT) where both…

Numerical Analysis · Mathematics 2024-12-16 Alessandro Perelli , Carola-Bibiane Schonlieb , Matthias J. Ehrhardt

In order for a bimanual robot to manipulate an object that is held by both hands, it must construct motion plans such that the transformation between its end effectors remains fixed. This amounts to complicated nonlinear equality…

Robotics · Computer Science 2024-03-15 Thomas Cohn , Seiji Shaw , Max Simchowitz , Russ Tedrake