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The variational problem of the least uncomfortable journey between two locations on a straight line is simplified by a choice of the dependent variable. It is shown that taking the position, instead of the velocity, as the optimal function…

General Physics · Physics 2020-08-04 Nivaldo A. Lemos

Learning from human video demonstrations offers a scalable alternative to teleoperation or kinesthetic teaching, but poses challenges for robot manipulators due to embodiment differences and joint feasibility constraints. We address this…

Robotics · Computer Science 2025-09-26 Xiaoxiang Dong , Matthew Johnson-Roberson , Weiming Zhi

In this study a new approach is proposed for the generation of aircraft trajectories. The relative guidance of an aircraft, which is aimed to join in minimum time the track of a leader aircraft, is particularly considered. In a first place,…

Optimization and Control · Mathematics 2013-02-21 Mohammad Shahzad , Félix Mora-Camino , Jules Ghislain Slama , Karim Achaibou

In this study, to perform the robotic stroke motions following the shape of the human back similar to the stroke motions by humans, in contrast to the conventional robotic stroke motion with a linear trajectory, we propose a trajectory…

Robotics · Computer Science 2024-05-13 Akishige Yuguchi , Tomoki Ishikura , Sung-Gwi Cho , Jun Takamatsu , Tsukasa Ogasawara

Trajectory generation for visually impaired scenarios requires smooth and temporally consistent state in structured, low-speed dynamic environments. However, traditional jerk-based heuristic trajectory sampling with independent segment…

Robotics · Computer Science 2026-02-26 Yuting Zeng , Manping Fan , You Zhou , Yongbin Yu , Zhiwen Zheng , Jingtao Zhang , Liyong Ren , Zhenglin Yang

Natural and expressive human motion generation is the holy grail of computer animation. It is a challenging task, due to the diversity of possible motion, human perceptual sensitivity to it, and the difficulty of accurately describing it.…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Guy Tevet , Sigal Raab , Brian Gordon , Yonatan Shafir , Daniel Cohen-Or , Amit H. Bermano

This letter presents a novel approach to extract reliable dense and long-range motion trajectories of articulated human in a video sequence. Compared with existing approaches that emphasize temporal consistency of each tracked point, we…

Computer Vision and Pattern Recognition · Computer Science 2016-03-30 Yuanyuan Wu , Xiaohai He , Byeongkeun Kang , Haiying Song , Truong Q. Nguyen

Practical use of robotic manipulators made from soft materials requires generating and executing complex motions. We present the first approach for generating trajectories of a thermally-actuated soft robotic manipulator. Based on…

Robotics · Computer Science 2022-05-04 Anthony Wertz , Andrew P. Sabelhaus , Carmel Majidi

The paper considers the problem of constructing program control for an object described by a system with a quasidifferentiable right-hand side. The control aim is to bring the system from a given initial position to a given final state in…

Optimization and Control · Mathematics 2025-11-17 Alexander Fominyh

We define "robotic contact juggling" to be the purposeful control of the motion of a three-dimensional smooth object as it rolls freely on a motion-controlled robot manipulator, or "hand." While specific examples of robotic contact juggling…

Robotics · Computer Science 2023-02-27 J. Zachary Woodruff , Kevin M. Lynch

In this paper, we present a minimal torque and time variable trajectory optimization method for autonomous excavator considering the soil-tool interaction. The method formulates the excavation motion generation as a trajectory optimization…

Robotics · Computer Science 2020-06-02 Yajue Yang , Jia Pan , Pinxin Long , Xibin Song , Liangjun Zhang

In this paper, we address a minimum-time steering problem for a drone modeled as point mass with bounded acceleration, across a set of desired waypoints in the presence of gravity. We first provide a method to solve for the minimum-time…

Robotics · Computer Science 2022-02-22 Srinath Tankasala , Can Pehlivanturk , Efstathios Bakolas , Mitch Pryor

In this work, we propose a trajectory generation method for robotic systems with contact force constraint based on optimal control and reachability analysis. Normally, the dynamics and constraints of the contact-constrained robot are…

Robotics · Computer Science 2019-03-28 Jaemin Lee , Efstathios Bakolas , Luis Sentis

We investigate the asymptotic properties of the trajectories generated by a second-order dynamical system of proximal-gradient type stated in connection with the minimization of the sum of a nonsmooth convex and a (possibly nonconvex)…

Optimization and Control · Mathematics 2017-11-20 Radu Ioan Bot , Ernö Robert Csetnek , Szilárd Csaba László

Robots must move legibly around people for safety reasons, especially for tasks where physical contact is possible. One such task is handovers, which requires implicit communication on where and when physical contact (object transfer)…

We study the mean curvature motion of a droplet flowing by mean curvature on a horizontal hyperplane with a possibly nonconstant prescribed contact angle. Using the minimizing movements method we show the existence of a weak evolution, and…

Analysis of PDEs · Mathematics 2018-05-17 Giovanni Bellettini , Shokhrukh Yusufovich Kholmatov

Text-driven motion generation offers a powerful and intuitive way to create human movements directly from natural language. By removing the need for predefined motion inputs, it provides a flexible and accessible approach to controlling…

Computer Vision and Pattern Recognition · Computer Science 2025-05-15 Ali Rida Sahili , Najett Neji , Hedi Tabia

This work presents a method for generating position, attitude, and velocity states for an aircraft following a smoothed reference trajectory. The method also generates accelerometer and gyro measurements consistent with the aircraft states.…

Systems and Control · Electrical Eng. & Systems 2021-05-26 Austin Costley , Randall Christensen , Robert C. Leishman , Greg Droge

In this paper, we focus on generating complex robotic trajectories by merging sequential motion primitives. A robotic trajectory is a time series of positions and orientations ending at a desired target. Hence, we first discuss the…

Robotics · Computer Science 2020-03-26 Matteo Saveriano , Felix Franzel , Dongheui Lee

We give a constructive proof for the existence of a unique rational motion of minimal degree in the dual quaternion model of Euclidean displacements with a given rational parametric curve as trajectory. The minimal motion degree equals the…

Metric Geometry · Mathematics 2018-07-31 Zijia Li , Josef Schicho , Hans-Peter Schröcker