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We study a time minimization problem on the group of motions of a plane with admissible control in a half-disk. The considered control system describes a model of a car that can move forward on a plane and turn in place. Optimal…

Optimization and Control · Mathematics 2022-06-29 Alexey Mashtakov

Dynamic Time Warping (DTW) is used for matching pairs of sequences and celebrated in applications such as forecasting the evolution of time series, clustering time series or even matching sequence pairs in few-shot action recognition. The…

Computer Vision and Pattern Recognition · Computer Science 2022-11-02 Lei Wang , Piotr Koniusz

Controllable human motion synthesis is essential for applications in AR/VR, gaming and embodied AI. Existing methods often focus solely on either language or full trajectory control, lacking precision in synthesizing motions aligned with…

Computer Vision and Pattern Recognition · Computer Science 2024-07-25 Weilin Wan , Zhiyang Dou , Taku Komura , Wenping Wang , Dinesh Jayaraman , Lingjie Liu

In this paper, we consider a (rough) kinematic model for a UAV flying at constant altitude moving forward with positive lower and upper bounded linear velocities and positive minimum turning radius.For this model, we consider the problem of…

Dynamical Systems · Mathematics 2017-11-27 Vincent Andrieu , Marc-Aurèle Lagache , Ulysse Serres

Inspired by the strong ties between vision and language, the two intimate human sensing and communication modalities, our paper aims to explore the generation of 3D human full-body motions from texts, as well as its reciprocal task,…

Computer Vision and Pattern Recognition · Computer Science 2022-08-08 Chuan Guo , Xinxin Zuo , Sen Wang , Li Cheng

Human interaction introduces two main constraints: Safety and Comfort. Therefore service robot manipulator can't be controlled like industrial robotic manipulator where personnel is isolated from the robot's work envelope. In this paper, we…

Robotics · Computer Science 2009-05-07 Xavier Broquère , Daniel Sidobre , Ignacio Herrera-Aguilar

The determination of time-dependent collision-free shortest paths has received a fair amount of attention. Here, we study the problem of computing a time-dependent shortest path among growing discs which has been previously studied for the…

Data Structures and Algorithms · Computer Science 2018-08-07 Anil Maheshwari , Arash Nouri , Jörg-Rüdiger Sack

Hand synergies, or joint coordination patterns, have become an effective tool for achieving versatile robotic grasping with simple hands or planning algorithms. Here we propose a method to determine the hand synergies such that they can be…

Robotics · Computer Science 2018-08-02 Tianjian Chen , Maximilian Haas-Heger , Matei Ciocarlie

Rapid, targeted hand movements exhibit a regular movement pattern described by Fitts law. We develop a model of these movements in which this movement pattern results from an optimal control model describing rapid hand movements and a…

Quantitative Methods · Quantitative Biology 2018-12-11 Stuart Hagler

In this paper, we present an online method for converting an arbitrary geometric path represented by a sequence of states, generated by any planner (e.g., sampling-based planners like RRT or PRM, search-based planners like ARA*, etc.), into…

Robotics · Computer Science 2026-03-03 Nermin Covic , Bakir Lacevic

This contribution proposes a method to make agents in a microscopic simulation of pedestrian traffic walk approximately along a path of estimated minimal remaining travel time to their destination. Usually models of pedestrian dynamics are…

Physics and Society · Physics 2014-07-15 Tobias Kretz , Andree Grosse , Stefan Hengst , Lukas Kautzsch , Andrej Pohlmann , Peter Vortisch

Dexterous in-hand manipulation is a unique and valuable human skill requiring sophisticated sensorimotor interaction with the environment while respecting stability constraints. Satisfying these constraints with generated motions is…

Aiming to mimic the brachiation locomotion of primates, we establish a brachiation robot model capable of swinging between different bars. The robot's design is based on a four-link underactuated structure. We propose an offline trajectory…

Systems and Control · Electrical Eng. & Systems 2023-08-14 Zishang Ji , Xuanyu Zhang , Xuanzhe Wang , Yan Huang

We present Ruckig, an algorithm for Online Trajectory Generation (OTG) respecting third-order constraints and complete kinematic target states. Given any initial state of a system with multiple Degrees of Freedom (DoFs), Ruckig calculates a…

Robotics · Computer Science 2021-06-24 Lars Berscheid , Torsten Kröger

A human is a thing that moves in space. Like all things that move in space, we can in principle use differential equations to describe their motion as a set of functions that maps time to position (and velocity, acceleration, and so on).…

Physics and Society · Physics 2022-08-03 Gabriele De Luca , Thomas J. Lampoltshammer , Johannes Scholz

Human motion generation is a significant pursuit in generative computer vision with widespread applications in film-making, video games, AR/VR, and human-robot interaction. Current methods mainly utilize either diffusion-based generative…

Computer Vision and Pattern Recognition · Computer Science 2025-02-03 Canxuan Gang

The increasing congestion in the near-Earth space environment has amplified the need for robust and efficient conjunction analysis techniques including the computation of the minimum distance between orbital paths in the presence of…

Earth and Planetary Astrophysics · Physics 2024-10-29 Ana S. Rivero , Giulio Baù , Rafael Vazquez , Claudio Bombardelli

Trajectory prediction is a fundamental and challenging task for numerous applications, such as autonomous driving and intelligent robots. Currently, most of existing work treat the pedestrian trajectory as a series of fixed two-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2021-03-17 Pei Lv , Hui Wei , Tianxin Gu , Yuzhen Zhang , Xiaoheng Jiang , Bing Zhou , Mingliang Xu

In this paper, we investigate the minimal time problem for the guidance of a rocket, whose motion is described by its attitude kinematics and dynamics but also by its orbit dynamics. Our approach is based on a refined geometric study of the…

Optimization and Control · Mathematics 2015-07-02 Jiamin Zhu , Emmanuel Trélat , Max Cerf

The accuracy with which the human proprioceptive system estimates hand speed is not well understood. To investigate this, we designed an experiment using hobby-grade mechatronics parts and integrated it as a laboratory exercise in a large…

Neurons and Cognition · Quantitative Biology 2025-10-14 Caitlin Callaghan , David J Reinkensmeyer