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Many tasks in geometry processing are modeled as variational problems solved numerically using the finite element method. For solid shapes, this requires a volumetric discretization, such as a boundary conforming tetrahedral mesh.…

Graphics · Computer Science 2018-07-04 Silvia Sellán , Herng Yi Cheng , Yuming Ma , Mitchell Dembowski , Alec Jacobson

We introduce the notion of domains with uniform squeezing property, study various analytic and geometric properties of such domains and show that they cover many interesting examples, including Teichmuller spaces and Hermitian symmetric…

Complex Variables · Mathematics 2009-06-26 Sai-Kee Yeung

This paper proposes a method to calculate the largest Regular Dextrous Workspace (RDW) of some types of three-revolute orthogonal manipulators that have at least one of their DH parameters equal to zero. Then a new performance index based…

Robotics · Computer Science 2007-07-17 Mazen Zein , Philippe Wenger , Damien Chablat

We propose a novel design of a parallel manipulator of Stewart Gough type for virtual reality application of single individuals; i.e. an omni-directional treadmill is mounted on the motion platform in order to improve VR immersion by giving…

Robotics · Computer Science 2017-11-10 Georg Nawratil , Arvin Rasoulzadeh

Inverse kinematics is an important and challenging problem in the operation of industrial manipulators. This study proposes a simple inverse kinematics calculation scheme for an industrial serial manipulator. The proposed technique can…

Robotics · Computer Science 2024-04-01 Ansei Yonezawa , Heisei Yonezawa , Itsuro Kajiwara

The paper derives the inverse and forward kinematic equations of a spatial three-degree-of-freedom parallel mechanism, which is the parallel module of a hybrid serial-parallel 5-axis machine tool. This parallel mechanism consists of a…

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

Many physical problems involving heterogeneous spatial scales, such as the flow through fractured porous media, the study of fiber-reinforced materials, or the modeling of the small circulation in living tissues -- just to mention a few…

Numerical Analysis · Mathematics 2024-01-02 Luca Heltai , Paolo Zunino

Controlling robotic manipulators with high-dimensional action spaces for dexterous tasks is a challenging problem. Inspired by human manipulation, researchers have studied generating and using postural synergies for robot hands to…

Robotics · Computer Science 2022-06-30 Zhanpeng He , Matei Ciocarlie

In view of the existing limitations of sequential computing, parallelization has emerged as an alternative in order to improve the speedup of numerical simulations. In the framework of evolutionary problems, space-time parallel methods…

Numerical Analysis · Mathematics 2025-02-13 Andrés Arrarás , Francisco J. Gaspar , Iñigo Jimenez-Ciga , Laura Portero

Trajectory planning is a critical step while programming the parallel manipulators in a robotic cell. The main problem arises when there exists a singular configuration between the two poses of the end-effectors while discretizing the path…

Robotics · Computer Science 2015-05-27 Ranjan Jha , Damien Chablat , Fabrice Rouillier , Guillaume Moroz

Joint spectra of tuples of operators are subsets in complex projective space. The corresponding tuple of operators can be viewed as an infinite dimensional analog of a determinantal representation of the joint spectrum. We investigate the…

Spectral Theory · Mathematics 2015-09-22 Michael Stessin , Alexandre Tchernev

Surgical domain models improve workflow optimization through automated predictions of each staff member's surgical role. However, mounting evidence indicates that team familiarity and individuality impact surgical outcomes. We present a…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Tony Danjun Wang , Lennart Bastian , Tobias Czempiel , Christian Heiliger , Nassir Navab

In this work is considered a spectral problem, involving a second order term on the domain boundary: the Laplace-Beltrami operator. A variational formulation is presented, leading to a finite element discretization. For the Laplace-Beltrami…

Numerical Analysis · Mathematics 2024-04-23 Fabien Caubet , Joyce Ghantous , Charles Pierre

The subject of this paper is the optimal design of a parallel mechanism intended for three-axis machining applications. Parallel mechanisms are interesting alternative designs in this context but most of them are designed for three- or…

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

This article presents a new three-degree-of-freedom (3-DOF) parallel mechanism (PM) with two translations and one rotation (2T1R), designed based on the topological design theory of the parallel mechanism using position and orientation…

Robotics · Computer Science 2023-06-23 Huiping Shen , Zhongqiu Du , Damien Chablat , Ju Li , Guanglei Wu

The paper presents a new stiffness modeling method for overconstrained parallel manipulators with flexible links and compliant actuating joints. It is based on a multidimensional lumped-parameter model that replaces the link flexibility by…

Robotics · Computer Science 2009-04-02 Anatoly Pashkevich , Damien Chablat , Philippe Wenger

Rehabilitation tasks demand robust and accurate trajectory-tracking performance, mainly achieved with parallel robots. In this field, limiting the value of the force exerted on the patient is crucial, especially when an injured limb is…

The orthoglide is a 3-DOF parallel mechanism designed at IRCCyN for machining applications. It features three fixed parallel linear joints which are mounted orthogonally and a mobile platform which moves in the Cartesian x-y-z space with…

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

Mobile manipulators typically encounter significant challenges in navigating narrow, cluttered environments due to their high-dimensional state spaces and complex kinematics. While reactive methods excel in dynamic settings, they struggle…

Robotics · Computer Science 2025-01-07 Chunxin Zheng , Yulin Li , Zhiyuan Song , Zhihai Bi , Jinni Zhou , Boyu Zhou , Jun Ma

This paper explores the Invariant Subspace Problem in operator theory and functional analysis, examining its applications in various branches of mathematics and physics. The problem addresses the existence of invariant subspaces for bounded…

Quantum Physics · Physics 2023-06-30 Mostafa Behtouei