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Recursive modelling for the kinematics of a 3-PRP planar parallel robot is presented in this paper. Three planar chains connecting to the moving platform of the manipulator are located in a vertical plane. Knowing the motion of the…

Robotics · Computer Science 2009-04-02 Damien Chablat , Stefan Staicu

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 presents a three-dimensional geometric resolution method to calculate the complete inverse kinematics of a 7-degree-of-freedom articulated arm, including the hand itself. The method is classified as an analytical method with…

Robotics · Computer Science 2024-09-04 Antonio Losada González

Analytic and optimization methods for solving inverse kinematics (IK) problems have been deeply studied throughout the history of robotics. The two strategies have complementary strengths and weaknesses, but developing a unified approach to…

Robotics · Computer Science 2026-02-06 Thomas Cohn , Lihan Tang , Alexandre Amice , Russ Tedrake

Inverse kinematics (IK) is the problem of finding robot joint configurations that satisfy constraints on the position or pose of one or more end-effectors. For robots with redundant degrees of freedom, there is often an infinite, nonconvex…

To facilitate recent advances in robotics and AI for delicate collaboration between humans and machines, we propose the Kinova Gemini, an original robotic system that integrates conversational AI dialogue and visual reasoning to make the…

Robotics · Computer Science 2022-09-07 Hanxiao Chen , Jiankun Wang , Max Q. -H. Meng

We develop an algorithm that solves the inverse kinematics of general serial 2RP3R, 2R2P2R, 3RP2R and 6R manipulators based on the HuPf algorithm. We identify the workspaces of the 3-subchains of the manipulator with a quasi-projective…

Robotics · Computer Science 2019-06-20 Jose Capco , Manuel Joseph C. Loquias , Saraleen Mae M. Manongsong , Fidel R. Nemenzo

This paper presents analytical solvers for four common types of algebraic equations encountered in robot kinematics: single trigonometric equations, single-angle trigonometric systems, two-angle trigonometric systems, and bilinear two-angle…

Robotics · Computer Science 2025-11-27 Hai-Jun Su

Serial robot arms have complicated kinematic equations which must be solved to write effective arm planning and control software (the Inverse Kinematics Problem). Existing software packages for inverse kinematics often rely on numerical…

Robotics · Computer Science 2017-12-08 Dianmu Zhang , Blake Hannaford

A family of reconfigurable parallel robots can change motion modes by passing through constraint singularities by locking and releasing some passive joints of the robot. This paper is about the kinematics, the workspace and singularity…

Robotics · Computer Science 2017-08-08 Damien Chablat , Xianwen Kong , Chengwei Zhang

Conventional robots possess a limited understanding of their kinematics and are confined to preprogrammed tasks, hindering their ability to leverage tools efficiently. Driven by the essential components of tool usage - grasping the desired…

Robotics · Computer Science 2025-10-31 Prathamesh Kothavale , Sravani Boddepalli

This paper presents a method to generate feasible, unique forward-kinematic solutions for a general Stewart platform. This is done by using inverse kinematics to obtain valid workspace data and corresponding actuator lengths for the moving…

Robotics · Computer Science 2025-10-28 Sourabh Karmakar , Cameron J. Turner

The inverse kinematics (IK) problem of continuum robots has been investigated in depth in the past decades. Under the constant-curvature bending assumption, closed-form IK solution has been obtained for continuum robots with variable…

Robotics · Computer Science 2021-10-06 Yifan Wang , Zhonghao Wu , Longfei Wang , Bo Feng , Kai Xu

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

This paper presents an analytical solution to the inverse kinematic problem(IKP) for the seven degree-of-freedom (7-DOF) Moz1 Robot Arm with offsets on wrist. We provide closed-form solutions with the novel arm angle . it allow fully…

Robotics · Computer Science 2026-02-05 Ke Chen

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

We present a theoretical and numerical analysis of the kinematics for the "Transpressor", a cuspidal 6R robot. It admits up to 16 inverse kinematics solutions which are described geometrically. For special target poses, we provide the…

Robotics · Computer Science 2026-02-17 Alexander Feeß , Martin Weiß

Real time calculation of inverse kinematics (IK) with dynamically stable configuration is of high necessity in humanoid robots as they are highly susceptible to lose balance. This paper proposes a methodology to generate joint-space…

Robotics · Computer Science 2018-02-01 S Phaniteja , Parijat Dewangan , Pooja Guhan , Abhishek Sarkar , K Madhava Krishna

Presented in this paper is the kinematic analysis of a symmetrical three-degree-of-freedom planar parallel manipulator. In opposite to serial manipulators, parallel manipulators can admit not only multiple inverse kinematic solutions, but…

Robotics · Computer Science 2007-05-23 Damien Chablat , Philippe Wenger

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