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This paper presents an advanced method for addressing the inverse kinematics and optimal path planning challenges in robot manipulators. The inverse kinematics problem involves determining the joint angles for a given position and…

Robotics · Computer Science 2024-12-25 Yusuke Shirato , Natsumi Oka , Akira Terui , Masahiko Mikawa

The direct kinematics analysis is the foundation of implementation of real world application of parallel manipulators. For most parallel manipulators the direct kinematics is challenging. In this paper, for the first time a fast and…

This article synthezises the most important results on the kinematics of cuspidal manipulators i.e. nonredundant manipulators that can change posture without meeting a singularity. The characteristic surfaces, the uniqueness domains and the…

Robotics · Computer Science 2010-02-10 Philippe Wenger

Constant workspace algorithms use a constant number of words in addition to the read-only input to the algorithm. In this paper, we devise algorithms to efficiently compute relative hulls in the plane using a constant workspace.…

Computational Geometry · Computer Science 2025-09-30 Himanshu Chhabra , R. Inkulu

This paper focuses on the kinematic properties of a new three-degree-of-freedom hybrid manipulator. This manipulator is obtained by adding in series to a five-bar planar mechanism (similar to the one studied by Bajpai and Roth) a third…

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

We present an efficient algorithm for computing the closest singular configuration to each non-singular pose of a 3-RPR planar manipulator performing a 1-parametric motion. By considering a 3-RPR manipulator as a planar framework, one can…

Robotics · Computer Science 2023-10-12 Aditya Kapilavai , Georg Nawratil

Workspace and joint space analysis are essential steps in describing the task and designing the control loop of the robot, respectively. This paper presents the descriptive analysis of a family of delta-like parallel robots by using…

Robotics · Computer Science 2015-05-21 R. Jha , Damien Chablat , Fabrice Rouillier , G. Moroz

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

Quadratic Programs (QPs) have become a mature technology for the control of robots of all kinds, including humanoid robots. One aspect has been largely overlooked, however, which is the accuracy with which these QPs should be solved. QP…

Robotics · Computer Science 2025-01-22 Sélim Chefchaouni , Mehdi Benallegue , Adrien Escande , Pierre-Brice Wieber

We solve large-scale mixed-integer linear programs (MILPs) via distributed asynchronous saddle point computation. This is motivated by the MILPs being able to model problems in multi-agent autonomy, e.g., task assignment problems and…

Optimization and Control · Mathematics 2022-11-23 Luke Fina , Matthew Hale

A cuspidal robot can move from one inverse kinematics (IK) solution to another without crossing a singularity. Multiple industrial robots are cuspidal. They tend to have a beautiful mechanical design, but they pose path planning challenges.…

Robotics · Computer Science 2025-05-01 Alexander J. Elias , John T. Wen

Cuspidal robots are robots with at least two inverse kinematic solutions that can be connected by a singularity-free path. Deciding the cuspidality of generic 3R robots has been studied in the past, but extending the study to…

Symbolic Computation · Computer Science 2022-09-20 Damien Chablat , Rémi Prébet , Mohab Safey El Din , Durgesh Salunkhe , Philippe Wenger

We present a novel convex formulation that weakly couples the Material Point Method (MPM) with rigid body dynamics through frictional contact, optimized for efficient GPU parallelization. Our approach features an asynchronous time-splitting…

Robotics · Computer Science 2025-07-08 Chang Yu , Wenxin Du , Zeshun Zong , Alejandro Castro , Chenfanfu Jiang , Xuchen Han

The impressive progress of the kinetic schemes in the solution of gas dynamics problems and the development of effective parallel algorithms for modern high performance parallel computing systems led to the development of advanced methods…

Plasma Physics · Physics 2013-05-06 B. Chetverushkin , N. D'Ascenzo , V. Saveliev

Cuspidal robots can travel from one inverse kinematic solution to another without meeting a singularity. The name cuspidal was coined based on the existence of a cusp point in the workspace of 3R serial robots. The existence of a cusp point…

This paper proposes a classification of three-revolute orthogonal manipulators that have at least one of their DH parameters equal to zero. This classification is based on the topology of their workspace. The workspace is characterized in a…

Robotics · Computer Science 2007-08-29 Mazen Zein , Philippe Wenger , Damien Chablat

This paper studies the problem of enumerating all maximal collinear subsets of size at least three in a given set of $n$ points. An algorithm for this problem, besides solving degeneracy testing and the exact fitting problem, can also help…

Computational Geometry · Computer Science 2017-06-20 Ali Gholami Rudi , Raimi Ayinde Rufai

Contemporary approaches to solving various problems that require analyzing three-dimensional (3D) meshes and point clouds have adopted the use of deep learning algorithms that directly process 3D data such as point coordinates, normal…

Computer Vision and Pattern Recognition · Computer Science 2024-07-12 Stefan Novaković , Vladimir Risojević

This article presents a new variable actuation mechanism based on the 3-RPR parallel robot. This mechanismis an evolution of the NaVARo robot, a 3-RRR parallel robot, for which the second revolute joint of the threelegs is replaced by a…

Robotics · Computer Science 2019-08-07 Damien Chablat , Luc Rolland

Estimation techniques to precisely localize a kinematic platform with GNSS observables can be broadly partitioned into two categories: differential, or undifferenced. The differential techniques (e.g., real-time kinematic (RTK)) have…

Robotics · Computer Science 2018-08-01 Ryan M. Watson , Jason N. Gross