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Solving the inverse kinematics problem is a fundamental challenge in motion planning, control, and calibration for articulated robots. Kinematic models for these robots are typically parametrized by joint angles, generating a complicated…

Robotics · Computer Science 2023-12-12 Filip Marić , Matthew Giamou , Adam W. Hall , Soroush Khoubyarian , Ivan Petrović , Jonathan Kelly

A prioritized inverse kinematics (PIK) solution can be considered as a (regulation or output tracking) control law of a dynamical system with prioritized multiple outputs. We propose a method that guarantees that a joint trajectory…

Systems and Control · Electrical Eng. & Systems 2019-10-24 Sang-ik An , Dongheui Lee

Numerical methods for Inverse Kinematics (IK) employ iterative, linear approximations of the IK until the end-effector is brought from its initial pose to the desired final pose. These methods require the computation of the Jacobian of the…

Robotics · Computer Science 2023-08-08 Jacket Demby's , Jeffrey Uhlmann , Guilherme N. DeSouza

We propose algorithms and software for computing projections onto the intersection of multiple convex and non-convex constraint sets. The software package, called SetIntersectionProjection, is intended for the regularization of inverse…

Mathematical Software · Computer Science 2019-03-08 Bas Peters , Felix J. Herrmann

For fully actuated rigid robots, kinematic inversion is a purely geometric problem, efficiently solved by closed-loop inverse kinematics (CLIK) schemes that compute joint configurations to position the robot body in space. For underactuated…

Robotics · Computer Science 2026-03-06 Carina Veil , Moritz Flaschel , Ellen Kuhl , Cosimo Della Santina

Contact-implicit motion planning-embedding contact sequencing as implicit complementarity constraints-holds the promise of leveraging continuous optimization to discover new contact patterns online. Nevertheless, the resulting optimization,…

Optimization and Control · Mathematics 2025-04-29 Yulin Li , Haoyu Han , Shucheng Kang , Jun Ma , Heng Yang

Inverse kinematics (IK) is a core operation in animation, robotics, and biomechanics: given Cartesian constraints, recover joint rotations under a known kinematic tree. In many real-time human avatar pipelines, the available signal per…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Muhammad Saif Ullah Khan , Chen-Yu Wang , Tim Prokosch , Michael Lorenz , Bertram Taetz , Didier Stricker

Piecewise constant curvature is a popular kinematics framework for continuum robots. Computing the model parameters from the desired end pose, known as the inverse kinematics problem, is fundamental in manipulation, tracking and planning…

Robotics · Computer Science 2023-05-03 Ke Qiu , Jingyu Zhang , Danying Sun , Rong Xiong , Haojian Lu , Yue Wang

Singular configurations cause loss of task-space mobility, unbounded joint velocities, and solver divergence in inverse kinematics (IK) for serial manipulators. No existing survey bridges classical singularity-robust IK with rapidly growing…

Robotics · Computer Science 2026-04-16 Vishnu Rudrasamudram , Hariharasudan Malaichamee

Described here is a simple, reliable, and quite general method for rapid computation of robot arm inverse kinematic solutions and motion path plans in the presence of complex obstructions. The method derived from the MSC (map-seeking…

Computer Vision and Pattern Recognition · Computer Science 2020-04-16 David W. Arathorn

In this work, we consider the low rank decomposition (SDPR) of general convex semidefinite programming problems (SDP) that contain both a positive semidefinite matrix and a nonnegative vector as variables. We develop a rank-support-adaptive…

Optimization and Control · Mathematics 2023-12-14 Tianyun Tang , Kim-Chuan Toh

We present a new framework for prioritized multi-task motion-force control of fully-actuated robots. This work is established on a careful review and comparison of the state of the art. Some control frameworks are not optimal, that is they…

Robotics · Computer Science 2014-10-16 Andrea Del Prete , Francesco Nori , Giorgio Metta , Lorenzo Natale

This article addresses the obstacle avoidance problem for setpoint stabilization and path-following tasks in complex dynamic 2D environments that go beyond conventional scenes with isolated convex obstacles. A combined motion planner and…

Robotics · Computer Science 2023-12-11 Albin Dahlin , Yiannis Karayiannidis

Real-time humanoid teleoperation requires inverse kinematics (IK) solvers that are both responsive and constraint-safe under kinematic redundancy and self-collision constraints. While differential IK enables efficient online retargeting,…

Robotics · Computer Science 2026-03-26 Junheng Li , Lizhi Yang , Aaron D. Ames

We present an analytical solution for the inverse kinematics (IK) of a robotic arm with one prismatic joint and four revolute joints. This 5-DoF design is a result of minimizing weight while preserving functionality of the device in a…

Robotics · Computer Science 2020-11-17 Vighnesh Vatsal , Guy Hoffman

Achieving human-like motion in robots has been a fundamental goal in many areas of robotics research. Inverse kinematic (IK) solvers have been explored as a solution to provide kinematic structures with anthropomorphic movements. In…

Robotics · Computer Science 2020-10-14 Glebys Gonzalez , Juan Wachs

<jats:title>Abstract</jats:title> <jats:p>In manufacturing industry, Computer Numerical Control (CNC) machines are often preferred over Industrial Serial Robots (ISR) for machining tasks. Indeed, CNC machines offer high positioning…

Robotics · Computer Science 2023-04-04 Angelica Ginnante , Stéphane Caro , Enrico Simetti , François Leborne

With the recent advances in machine learning, problems that traditionally would require accurate modeling to be solved analytically can now be successfully approached with data-driven strategies. Among these, computing the inverse…

Robotics · Computer Science 2021-03-31 Gian Maria Marconi , Raffaello Camoriano , Lorenzo Rosasco , Carlo Ciliberto

Inverse Kinematics (IK) systems are often rigid with respect to their input character, thus requiring user intervention to be adapted to new skeletons. In this paper we aim at creating a flexible, learned IK solver applicable to a wide…

Human-to-humanoid imitation learning aims to learn a humanoid whole-body controller from human motion. Motion retargeting is a crucial step in enabling robots to acquire reference trajectories when exploring locomotion skills. However,…

Robotics · Computer Science 2025-09-22 Xingyu Chen , Hanyu Wu , Sikai Wu , Mingliang Zhou , Diyun Xiang , Haodong Zhang