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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

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

Although inverse kinematics of serial manipulators is a well studied problem, challenges still exist in finding smooth feasible solutions that are also collision aware. Furthermore, with collaborative service robots gaining traction,…

Robotics · Computer Science 2023-11-01 Salih Marangoz , Rohit Menon , Nils Dengler , Maren Bennewitz

This work addresses the inverse kinematics of serial robots using conformal geometric algebra. Classical approaches include either the use of homogeneous matrices, which entails high computational cost and execution time or the development…

Robotics · Computer Science 2022-03-29 Isiah Zaplana , Hugo Hadfield , Joan Lasenby

This paper proposes a novel inverse kinematics (IK) solver of articulated robotic systems for path planning. IK is a traditional but essential problem for robot manipulation. Recently, data-driven methods have been proposed to quickly solve…

Robotics · Computer Science 2022-09-02 Suhan Park , Mathew Schwartz , Jaeheung Park

Although robotic manipulators are used in an ever-growing range of applications, robot manufacturers typically follow a ``one-fits-all'' philosophy, employing identical manipulators in various settings. This often leads to suboptimal…

Robotics · Computer Science 2025-09-17 Jonathan Külz , Sehoon Ha , Matthias Althoff

Inverse dynamics is used extensively in robotics and biomechanics applications. In manipulator and legged robots, it can form the basis of an effective nonlinear control strategy by providing a robot with both accurate positional tracking…

Robotics · Computer Science 2016-08-05 Samuel Zapolsky , Evan Drumwright

This paper proposes a new, robust method to solve the inverse kinematics (IK) of multi-segment continuum manipulators. Conventional Jacobian-based solvers, especially when initialized from neutral/rest configurations, often exhibit slow…

Robotics · Computer Science 2026-04-03 Weiting Feng , Federico Renda , Yunjie Yang , Francesco Giorgio-Serchi

Generating accurate and realistic virtual human movements in real-time is of high importance for a variety of applications in computer graphics, interactive virtual environments, robotics, and biomechanics. This paper introduces a novel…

Computer Vision and Pattern Recognition · Computer Science 2025-09-12 Hendric Voss , Stefan Kopp

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

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

Predicting the motion of a mobile agent from a third-person perspective is an important component for many robotics applications, such as autonomous navigation and tracking. With accurate motion prediction of other agents, robots can plan…

Robotics · Computer Science 2018-10-18 Yanfu Zhang , Wenshan Wang , Rogerio Bonatti , Daniel Maturana , Sebastian Scherer

Modern robotics is gravitating toward increasingly collaborative human robot interaction. Tools such as acceleration policies can naturally support the realization of reactive, adaptive, and compliant robots. These tools require us to model…

Robotics · Computer Science 2017-10-09 Daniel Kappler , Franziska Meier , Nathan Ratliff , Stefan Schaal

Recent trends in SLAM and visual navigation have embraced 3D Gaussians as the preferred scene representation, highlighting the importance of estimating camera poses from a single image using a pre-built Gaussian model. However, existing…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Hao Wang , Linqing Zhao , Xiuwei Xu , Jiwen Lu , Haibin Yan

There is physiological evidence that our ability to interpret human pose and action from 2D visual imagery (binocular or monocular) engages the circuitry of the motor cortices as well as the visual areas of the brain. This implies that the…

Computer Vision and Pattern Recognition · Computer Science 2015-03-31 David W. Arathorn

Calculating the inverse kinematics (IK) is a fundamental challenge in robotics. Compared to numerical or learning-based approaches, analytical IK provides higher efficiency and accuracy. However, existing analytical approaches are difficult…

Robotics · Computer Science 2025-08-22 Daniel Ostermeier , Jonathan Külz , Matthias Althoff

Several publications are concerned with learning inverse kinematics, however, their evaluation is often limited and none of the proposed methods is of practical relevance for rigid-body kinematics with a known forward model. We argue that…

Robotics · Computer Science 2020-03-03 Tim von Oehsen , Alexander Fabisch , Shivesh Kumar , Frank Kirchner

We propose to solve inverse problems involving the temporal evolution of physics systems by leveraging recent advances from diffusion models. Our method moves the system's current state backward in time step by step by combining an…

Machine Learning · Computer Science 2023-12-06 Benjamin J. Holzschuh , Simona Vegetti , Nils Thuerey

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…