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The main contribution of this paper is a novel method for planning globally optimal trajectories for dynamical systems subject to polygonal constraints. The proposed method is a hybrid trajectory planning approach, which combines graph…

Systems and Control · Electrical Eng. & Systems 2021-08-11 Andreas B. Martinsen , Anastasios M. Lekkas , Sebastien Gros

Nonlinear model predictive control (NMPC) is a popular strategy for solving motion planning problems, including obstacle avoidance constraints, in autonomous driving applications. Non-smooth obstacle shapes, such as rectangles, introduce…

Systems and Control · Electrical Eng. & Systems 2024-03-05 Rudolf Reiter , Katrin Baumgärtner , Rien Quirynen , Moritz Diehl

The giant single-celled slime mould Physarum polycephalum exhibits complex morphological adaptation and amoeboid movement as it forages for food and may be seen as a minimal example of complex robotic behaviour. Swarm computation has…

Multiagent Systems · Computer Science 2012-12-04 Jeff Jones , Andrew Adamatzky

Collision avoidance in unknown obstacle-cluttered environments may not always be feasible. This paper focuses on an emerging paradigm shift in which potential collisions with the environment can be harnessed instead of being avoided…

Robotics · Computer Science 2020-09-07 Zhouyu Lu , Zhichao Liu , Gustavo J. Correa , Konstantinos Karydis

We propose a new model-order reduction framework to poorly reducible problems arising from parametric partial differential equations with geometric variability. In such problems, the solution manifold exhibits a slowly decaying Kolmogorov…

Numerical Analysis · Mathematics 2025-10-30 Abbas Kabalan , Fabien Casenave , Felipe Bordeu , Virginie Ehrlacher , Alexandre Ern

Safe and efficient path planning in parking scenarios presents a significant challenge due to the presence of cluttered environments filled with static and dynamic obstacles. To address this, we propose a novel and computationally efficient…

Multi-robot motion planning (MRMP) is the problem of finding collision-free paths for a set of robots in a continuous state space. The difficulty of MRMP increases with the number of robots and is exacerbated in environments with narrow…

Robotics · Computer Science 2023-11-17 Courtney McBeth , James Motes , Diane Uwacu , Marco Morales , Nancy M. Amato

In this paper we are concerned with the simulation of crowds in built environments, where obstacles play a role in the dynamics and in the interactions among pedestrians. First of all, we review the state-of-the-art of the techniques for…

Optimization and Control · Mathematics 2017-01-16 Emiliano Cristiani , Daniele Peri

Collision checking is a computational bottleneck in motion planning, requiring lazy algorithms that explicitly reason about when to perform this computation. Optimism in the face of collision uncertainty minimizes the number of checks…

Robotics · Computer Science 2020-03-23 Brian Hou , Sanjiban Choudhury , Gilwoo Lee , Aditya Mandalika , Siddhartha S. Srinivasa

This is a rather personal review of the problem of self-avoiding walks and polygons. After defining the problem, and outlining what is known rigorously and what is merely conjectured, I highlight the major outstanding problems. I then give…

Mathematical Physics · Physics 2012-12-17 Anthony J. Guttmann

A method for adaptive model order reduction for nonsmooth discrete element simulation is developed and analysed in numerical experiments. Regions of the granular media that collectively move as rigid bodies are substituted with rigid bodies…

Computational Physics · Physics 2015-12-02 Martin Servin , Da Wang

Statistical Shape Modeling (SSM) is a quantitative method for analyzing morphological variations in anatomical structures. These analyses often necessitate building models on targeted anatomical regions of interest to focus on specific…

Computer Vision and Pattern Recognition · Computer Science 2024-01-02 Hong Xu , Alan Morris , Shireen Y. Elhabian

Path planning in dynamic environments is essential to high-risk applications such as unmanned aerial vehicles, self-driving cars, and autonomous underwater vehicles. In this paper, we generate collision-free trajectories for a robot within…

Robotics · Computer Science 2020-07-30 Sourav Dutta , Tuan Tran , Banafsheh Rekabdar , Chinwe Ekenna

A supply chain is a system which moves products from a supplier to customers. The supply chains are ubiquitous. They play a key role in all economic activities. Inspired by biological principles of nutrients' distribution in protoplasmic…

Neural and Evolutionary Computing · Computer Science 2014-03-24 Xiaoge Zhang , Andrew Adamatzky , Xin-She Yang , Hai Yang , Sankaran Mahadevan , Yong Deng

We study the path planning problem for continuum-arm robots, in which we are given a starting and an end point, and we need to compute a path for the tip of the continuum arm between the two points. We consider both cases where obstacles…

Robotics · Computer Science 2018-12-11 Jiahao Deng , Brandon H. Meng , Iyad Kanj , Isuru S. Godage

We study the problem of path planning with soft homology constraints on a surface topologically equivalent to a disk with punctures. Specifically, we propose an algorithm, named $\Hstar$, for the efficient computation of a path homologous…

Optimization and Control · Mathematics 2024-07-01 Carlos A. Taveras , Santiago Segarra , César A. Uribe

Online decision making under uncertainty in partially observable domains, also known as Belief Space Planning, is a fundamental problem in robotics and Artificial Intelligence. Due to an abundance of plausible future unravelings,…

Artificial Intelligence · Computer Science 2023-02-15 Andrey Zhitnikov , Vadim Indelman

This paper presents a novel feedback method on the motion planning for unicycle robots in environments with static obstacles, along with an extension to the distributed planning and coordination in multi-robot systems. The method employs a…

Robotics · Computer Science 2014-10-22 Dimitra Panagou

In this paper, we propose a new method for path planning to a point for robot in environment with obstacles. The resulting algorithm is implemented as a simple variation of Dijkstra's algorithm. By adding a constraint to the shortest-path,…

Robotics · Computer Science 2015-10-16 Jalil Rasekhi

This study proposes a novel multi-objective integer programming model for a collision-free discrete drone path planning problem. Considering the possibility of bypassing obstacles or flying above them, this study aims to minimize the path…

Signal Processing · Electrical Eng. & Systems 2020-04-20 Mahmoud Golabi , Soheila Ghambari , Julien Lepagnot , Laetitia Jourdan , Mathieu Brevilliers , Lhassane Idoumghar
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