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While motion planning approaches for automated driving often focus on safety and mathematical optimality with respect to technical parameters, they barely consider convenience, perceived safety for the passenger and comprehensibility for…

Robotics · Computer Science 2019-05-14 Maximilian Naumann , Martin Lauer , Christoph Stiller

We propose an algorithmic framework for efficient anytime motion planning on large dense geometric roadmaps, in domains where collision checks and therefore edge evaluations are computationally expensive. A large dense roadmap (graph) can…

Velocity Planning for self-driving vehicles in a complex environment is one of the most challenging tasks. It must satisfy the following three requirements: safety with regards to collisions; respect of the maximum velocity limits defined…

Robotics · Computer Science 2022-02-22 Yutaka Shimizu , Takamasa Horibe , Fumiya Watanabe , Shinpei Kato

A method of embedding partially ordered sets into linear spaces is presented. The problem of finding all orthocomplementations in a finite lattice is reduced to a linear programming problem.

Combinatorics · Mathematics 2007-05-23 George Parfionov , Roman Zapatrin

We present a method to solve planning problems involving sequential decision making in unpredictable environments while accomplishing a high level task specification expressed using the formalism of linear temporal logic. Our method…

Robotics · Computer Science 2015-06-16 Seyedshams Feyzabadi , Stefano Carpin

In robotics, a topological theory of motion planning was initiated by M. Farber. The multitasking motion planning problem is new and its theoretical part via topological complexity has hardly been developed, but the concrete implementations…

Algebraic Topology · Mathematics 2021-01-26 Cesar A. Ipanaque Zapata , Jesús González

We present a general and modular algorithmic framework for path planning of robots. Our framework combines geometric methods for exact and complete analysis of low-dimensional configuration spaces, together with practical, considerably…

Computational Geometry · Computer Science 2015-09-17 Oren Salzman , Michael Hemmer , Barak Raveh , Dan Halperin

A motion planning algorithm computes the motion of a robot by computing a path through its configuration space. To improve the runtime of motion planning algorithms, we propose to nest robots in each other, creating a nested quotient-space…

Robotics · Computer Science 2018-08-06 Andreas Orthey , Adrien Escande , Eiichi Yoshida

We present an optimization-based motion planning algorithm to compute a smooth, collision-free trajectory for a manipulator used to transfer a liquid from a source to a target container. We take into account fluid dynamics constraints as…

Robotics · Computer Science 2016-03-09 Zherong Pan , Dinesh Manocha

The paper addresses the problem of providing suitable reference trajectories in motion planning problems for autonomous vehicles. Among the various approaches to compute a reference trajectory, our aim is to find those trajectories which…

Optimization and Control · Mathematics 2018-01-24 Matthias Gerdts , Björn Martens

This paper presents an integrated motion planning system for autonomous vehicle (AV) parking in the presence of other moving vehicles. The proposed system includes 1) a hybrid environment predictor that predicts the motions of the…

Robotics · Computer Science 2022-04-28 Jessica Leu , Yebin Wang , Masayoshi Tomizuka , Stefano Di Cairano

Lattice paths are functional entities that model efficient navigation in discrete/grid maps. This paper presents a new scheme to generate collision-free lattice paths with utmost efficiency using the bijective property to rooted ordered…

Robotics · Computer Science 2022-09-13 Victor Parque

Using the notion of contiguity of simplicial maps, we adapt Farber's topological complexity to the realm of simplicial complexes. We show that, for a finite simplicial complex $K$, our discretized concept recovers the topological complexity…

Algebraic Topology · Mathematics 2017-01-27 Jesús González

Mobile manipulators are finding use in numerous practical applications. The current issues with mobile manipulation are the large state space owing to the mobile base and the challenge of modeling high degree of freedom systems. It is…

Robotics · Computer Science 2024-10-22 William Smith , Siddharth Singh , Julia Rudy , Yuxiang Guan

Coordinated multi-robot motion planning at intersections is key for safe mobility in roads, factories and warehouses. The rapidly exploring random tree (RRT) algorithms are popular in multi-robot motion planning. However, generating the…

Robotics · Computer Science 2024-12-03 Victor Parque

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

Despite recent progress improving the efficiency and quality of motion planning, planning collision-free and dynamically-feasible trajectories in partially-mapped environments remains challenging, since constantly replanning as unseen…

Robotics · Computer Science 2023-06-16 Abhish Khanal , Hoang-Dung Bui , Gregory J. Stein , Erion Plaku

This paper presents Latent Sampling-based Motion Planning (L-SBMP), a methodology towards computing motion plans for complex robotic systems by learning a plannable latent representation. Recent works in control of robotic systems have…

Robotics · Computer Science 2018-11-07 Brian Ichter , Marco Pavone

This work addresses the problem of vehicle path planning in the presence of obstacles and uncertainties, which is a fundamental problem in robotics. While many path planning algorithms have been proposed for decades, many of them have dealt…

Optimization and Control · Mathematics 2018-09-11 Kazuhide Okamoto , Panagiotis Tsiotras

The paper introduces an asymptotically optimal lifelong sampling-based path planning algorithm that combines the merits of lifelong planning algorithms and lazy search algorithms for rapid replanning in dynamic environments where edge…

Robotics · Computer Science 2025-07-23 Lu Huang , Jingwen Yu , Jiankun Wang , Xingjian Jing