English
Related papers

Related papers: On The Evaluation of Collision Probability along a…

200 papers

A method is developed to calculate collision probability in this paper. Based on the encounter geometric features of space objects, it is reasonable to separate the radial orbital motions from that in the cross section for most encounter…

Instrumentation and Methods for Astrophysics · Physics 2015-06-18 Xiaoli Xu , Yongqing Xiong

This paper presents a distributed method for robots moving in rigid formations while ensuring probabilistic collision avoidance between the robots. The formation is parametrised through the transformation of a base configuration. The robots…

Robotics · Computer Science 2024-08-28 Jeppe Heini Mikkelsen , Vit Kratky , Roberto Galeazzi , Martin Saska , Matteo Fumagalli

In order for automated mobile vehicles to navigate in the real world with minimal collision risks, it is necessary for their planning algorithms to consider uncertainties from measurements and environmental disturbances. In this paper, we…

Robotics · Computer Science 2022-12-19 Nathan Goulet , Qian Wang , Beshah Ayalew

This paper presents a formal definition and explicit representation of robot motion risk. Currently, robot motion risk has not been formally defined, but has already been used in motion and path planning. Risk is either implicitly…

Robotics · Computer Science 2019-04-18 Xuesu Xiao , Jan Dufek , Robin Murphy

In order for autonomous vehicles to become a part of the Intelligent Transportation Ecosystem, they are required to guarantee a particular level of safety. For that to happen a safe vehicle control algorithms need to be developed, which…

Robotics · Computer Science 2020-03-03 Vladislav Kibalov , Oleg Shipitko

In this paper, a robot navigating an environment shared with humans is considered, and a cost function that can be exploited in $\text{RRT}^\text{X}$, a randomized sampling-based replanning algorithm that guarantees asymptotic optimality,…

Robotics · Computer Science 2022-06-16 Basak Sakcak , Luca Bascetta

This paper describes continuous-space methodologies to estimate the collision probability, Euclidean distance and gradient between an ellipsoidal robot model and an environment surface modeled as a set of Gaussian distributions.…

Robotics · Computer Science 2025-07-31 Kshitij Goel , Wennie Tabib

Many state-of-the-art methods for safety assessment and motion planning for automated driving require estimation of the probability of collision (POC). To estimate the POC, a shape approximation of the colliding actors and probability…

Robotics · Computer Science 2024-05-24 Leon Tolksdorf , Christian Birkner , Arturo Tejada , Nathan van de Wouw

This research introduces two efficient methods to estimate the collision risk of planned trajectories in autonomous driving under uncertain driving conditions. Deterministic collision checks of planned trajectories are often inaccurate or…

Robotics · Computer Science 2025-10-08 Marc Kaufeld , Johannes Betz

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

Demand for high-performance, robust, and safe autonomous systems has grown substantially in recent years. These objectives motivate the desire for efficient safety-theoretic reasoning that can be embedded in core decision-making tasks such…

Robotics · Computer Science 2022-12-27 Kristoffer M. Frey , Ted J. Steiner , Jonathan P. How

Robots will increasingly operate near humans that introduce uncertainties in the motion planning problem due to their complex nature. Typically, chance constraints are introduced in the planner to optimize performance while guaranteeing…

Robotics · Computer Science 2023-07-04 Oscar de Groot , Laura Ferranti , Dariu Gavrila , Javier Alonso-Mora

Driving information and data under potential vehicle crashes create opportunities for extensive real-world observations of driver behaviors and relevant factors that significantly influence the driving safety in emergency scenarios.…

Signal Processing · Electrical Eng. & Systems 2020-04-30 Liqun Peng , Miguel Angel Sotelo , Yi He , Yunfei Ai , Zhixiong Li

Probabilistic collision detection (PCD) is essential in motion planning for robots operating in unstructured environments, where considering sensing uncertainty helps prevent damage. Existing PCD methods mainly used simplified geometric…

Robotics · Computer Science 2025-08-28 Xiaoli Wang , Sipu Ruan , Xin Meng , Gregory Chirikjian

In motion planning problems for autonomous robots, such as self-driving cars, the robot must ensure that its planned path is not in close proximity to obstacles in the environment. However, the problem of evaluating the proximity is…

Robotics · Computer Science 2019-06-21 Arun Lakshmanan , Andrew Patterson , Venanzio Cichella , Naira Hovakimyan

The use of random sampling in decision-making and control has become popular with the ease of access to graphic processing units that can generate and calculate multiple random trajectories for real-time robotic applications. In contrast to…

Robotics · Computer Science 2022-03-21 Hyung-Jin Yoon , Chuyuan Tao , Hunmin Kim , Naira Hovakimyan , Petros Voulgaris

Motion planning at urban intersections that accounts for the situation context, handles occlusions, and deals with measurement and prediction uncertainty is a major challenge on the way to urban automated driving. In this work, we address…

Robotics · Computer Science 2021-10-22 Johannes Müller , Jan Strohbeck , Martin Herrmann , Michael Buchholz

Many motion planning algorithms for automated driving require estimating the probability of collision (POC) to account for uncertainties in the measurement and estimation of the motion of road users. Common POC estimation techniques often…

Robotics · Computer Science 2026-01-22 Leon Tolksdorf , Arturo Tejada , Christian Birkner , Nathan van de Wouw

In this context, a major focus of this thesis is on unintentional collisions, where a straight goal is to eliminate injury from users and passerby's via realtime sensing and control systems. A less obvious focus is to combine collision…

Robotics · Computer Science 2017-11-08 Kwan Suk Kim

Path planning in obstacle-dense environments is a key challenge in robotics, and depends on inferring scene attributes and associated uncertainties. We present a multiple-hypothesis path planner designed to navigate complex environments…

Robotics · Computer Science 2023-08-16 Brian H. Wang , Beatriz Asfora , Rachel Zheng , Aaron Peng , Jacopo Banfi , Mark Campbell