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Time-to-contact (TTC), the time for an object to collide with the observer's plane, is a powerful tool for path planning: it is potentially more informative than the depth, velocity, and acceleration of objects in the scene -- even for…

Computer Vision and Pattern Recognition · Computer Science 2021-04-29 Abhishek Badki , Orazio Gallo , Jan Kautz , Pradeep Sen

Motion trajectory planning is one crucial aspect for automated vehicles, as it governs the own future behavior in a dynamically changing environment. A good utilization of a vehicle's characteristics requires the consideration of the…

Optimization and Control · Mathematics 2018-07-31 Franz Gritschneder , Knut Graichen , Klaus Dietmayer

Critical incident stages identification and reasonable prediction of traffic incident duration are essential in traffic incident management. In this paper, we propose a traffic incident duration prediction model that simultaneously predicts…

Machine Learning · Computer Science 2019-11-21 Kaiqun Fu , Taoran Ji , Liang Zhao , Chang-Tien Lu

In this paper, we propose a novel optimization-based trajectory planner that utilizes spherical harmonics to estimate the collision-free solution space around an agent. The space is estimated using a constrained over-determined…

Robotics · Computer Science 2021-07-16 Steven Patrick , Efstathios Bakolas

Considerable research efforts have been devoted to the development of motion planning algorithms, which form a cornerstone of the autonomous driving system (ADS). Nonetheless, acquiring an interactive and secure trajectory for the ADS…

Robotics · Computer Science 2024-02-19 Yingbing Chen , Jie Cheng , Lu Gan , Sheng Wang , Hongji Liu , Xiaodong Mei , Ming Liu

This paper focuses on spatial time-optimal motion planning, a generalization of the exact time-optimal path following problem that allows the system to plan within a predefined space. In contrast to state-of-the-art methods, we drop the…

Robotics · Computer Science 2023-07-18 Jon Arrizabalaga , Markus Ryll

This paper presents an optimization-based collision avoidance trajectory generation method for autonomous driving in free-space environments, with enhanced robustness, driving comfort and efficiency. Starting from the hybrid…

Robotics · Computer Science 2021-03-02 Runxin He , Jinyun Zhou , Shu Jiang , Yu Wang , Jiaming Tao , Shiyu Song , Jiangtao Hu , Jinghao Miao , Qi Luo

The primary goal of reinforcement learning is to develop decision-making policies that prioritize optimal performance, frequently without considering safety. In contrast, safe reinforcement learning seeks to reduce or avoid unsafe behavior.…

Machine Learning · Computer Science 2025-06-17 Zahra Shahrooei , Ali Baheri

Path planning for high-speed unmanned surface vehicles requires more complex solutions to reduce sailing time and save energy. This article proposes a new predictive artificial potential field that incorporates time information and…

Robotics · Computer Science 2026-02-24 Jia Song , Ce Hao , Jiangcheng Su

In this paper we present a method for automatically generating optimal robot trajectories satisfying high level mission specifications. The motion of the robot in the environment is modeled as a general transition system, enhanced with…

Robotics · Computer Science 2010-07-16 Stephen L. Smith , Jana Tumova , Calin Belta , Daniela Rus

Path planning for autonomous vehicles in arbitrary environments requires a guarantee of safety, but this can be impractical to ensure in real-time when the vehicle is described with a high-fidelity model. To address this problem, this paper…

Systems and Control · Computer Science 2017-05-02 Shreyas Kousik , Sean Vaskov , Matthew Johnson-Roberson , Ramanarayan Vasudevan

By starting with the assumption that motion is fundamentally a decision making problem, we use the world-line concept from Special Relativity as the inspiration for a novel multi-agent path planning method. We have identified a particular…

Robotics · Computer Science 2022-04-04 Vismay Modi , Yixin Chen , Abhishek Madan , Shinjiro Sueda , David I. W. Levin

Dynamic mode decomposition (DMD) is a widely used data-driven algorithm for predicting the future states of dynamical systems. However, its standard formulation often struggles with poor long-term predictive accuracy. To address this…

Numerical Analysis · Mathematics 2025-10-23 Qiuqi Li , Chang Liu , Yifei Yang

We consider the problem of planning a collision-free path of a robot in the presence of risk zones. The robot is allowed to travel in these zones but is penalized in a super-linear fashion for consecutive accumulative time spent there. We…

Computational Geometry · Computer Science 2017-03-10 Oren Salzman , Siddhartha Srinivasa

The Dijkstra algorithm is a classic path planning method, which in a discrete graph space, can start from a specified source node and find the shortest path between the source node and all other nodes in the graph. However, to the best of…

Robotics · Computer Science 2023-08-08 Jinyuan Liu , Minglei Fu , Wenan Zhang , Bo Chen , Ryhor Prakapovich , Uladzislau Sychou

Temporal difference learning and Residual Gradient methods are the most widely used temporal difference based learning algorithms; however, it has been shown that none of their objective functions is optimal w.r.t approximating the true…

Machine Learning · Computer Science 2017-04-21 Bo Liu , Daoming Lyu , Wen Dong , Saad Biaz

Large environments are challenging for path planning algorithms as the size of the configuration space increases. Furthermore, if the environment is mainly unexplored, large amounts of the path are planned through unknown areas. Hence, a…

Robotics · Computer Science 2024-10-01 Oliver Schumann , Michael Buchholz , Klaus Dietmayer

This paper introduces a novel motion planning algorithm for stochastic scenarios. We extend the concept of a navigation function to such scenarios. Our main idea is to consider both the Gaussian distribution probabilities of the players'…

Robotics · Computer Science 2016-10-31 Shlomi Hacohen , Shraga Shoval , Nir Shvalb

The performance of vehicle active safety systems is dependent on the friction force arising from the contact of tires and the road surface. Therefore, an adequate knowledge of the tire-road friction coefficient is of great importance to…

Neural and Evolutionary Computing · Computer Science 2019-11-18 Alexandre M. Ribeiro , Alexandra Moutinho , André R. Fioravanti , Ely C. de Paiva

In this paper, we describe a robust multi-drone planning framework for high-speed trajectories in large scenes. It uses a free-space-oriented map to free the optimization from cumbersome environment data. A capsule-like safety constraint is…

Robotics · Computer Science 2021-09-20 Zhepei Wang , Chao Xu , Fei Gao