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This paper presents a Riemannian metric-based model to solve the optimal path planning problem on two-dimensional smooth submanifolds in high-dimensional space. Our model is based on constructing a new Riemannian metric on a two-dimensional…

Robotics · Computer Science 2025-07-03 Yu Zhang , Qi Zhou , Xiao-Song Yang

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

We study the use of machine learning techniques to solve a fundamental shortest path problem, known as the single-source many-targets shortest path problem (SSMTSP). Given a directed graph with non-negative edge weights, our goal is to…

Data Structures and Algorithms · Computer Science 2023-03-07 Willem Feijen , Guido Schäfer

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

In this paper, how to efficiently find the optimal path in complex warehouse layout and make real-time decision is a key problem. This paper proposes a new method of Proximal Policy Optimization (PPO) and Dijkstra's algorithm, Proximal…

Robotics · Computer Science 2024-11-12 Keqin Li , Lipeng Liu , Jiajing Chen , Dezhi Yu , Xiaofan Zhou , Ming Li , Congyu Wang , Zhao Li

Traditional vehicle routing algorithms do not consider the changing nature of traffic. While implementations of Dijkstra's algorithm with varying weights exist, the weights are often changed after the outcome of algorithm is executed, which…

Optimization and Control · Mathematics 2022-05-31 Piyush Udhan , Akhilesh Ganeshkar , Poobigan Murugesan , Abhishek Raj Permani , Sameep Sanjeeva , Parth Deshpande

In many robot motion planning problems, task objectives and physical constraints induce non-Euclidean geometry on the configuration space, yet many planners operate using Euclidean distances that ignore this structure. We address the…

Robotics · Computer Science 2026-05-15 Phone Thiha Kyaw , Jonathan Kelly

Real-time dynamic path planning in complex traffic environments presents challenges, such as varying traffic volumes and signal wait times. Traditional static routing algorithms like Dijkstra and A* compute shortest paths but often fail…

Artificial Intelligence · Computer Science 2024-08-27 Ziai Zhou , Bin Zhou , Hao Liu

Dijkstra's algorithm is one of the most popular classic path planning algorithms, achieving optimal solutions across a wide range of challenging tasks. However, it only calculates the shortest distance from one vertex to another, which is…

Data Structures and Algorithms · Computer Science 2022-12-12 Ziren Xiao , Ruxin Xiao , Chang Liu , Honghao Gao , Xiaolong Xu , Shan Luo , Xinheng Wang

Autonomous vehicle navigation in unstructured environments, such as forests and mountainous regions, presents significant challenges due to irregular terrain and complex road conditions. This work provides a comparative evaluation of…

Robotics · Computer Science 2025-07-09 Chang Liu , Zhexiong Xue , Tamas Sziranyi

Images conveniently capture the result of physical processes, representing rich source of information for data driven medicine, engineering, and science. The modeling of an image as a graph allows the application of graph-based algorithms…

Data Structures and Algorithms · Computer Science 2022-10-28 Diego Ulisse Pizzagalli , Rolf Krause

We consider the motion-planning 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…

Robotics · Computer Science 2017-03-10 Oren Salzman , Brian Hou , Siddhartha Srinivasa

A novel multi-robot path planning approach is presented in this paper. Based on the standard Dijkstra, the algorithm looks for the optimal paths for a formation of robots, taking into account the possibility of split and merge. The…

Robotics · Computer Science 2019-01-23 Estefanía Pereyra , Gastón Araguás , Miroslav Kulich

A modified version of the Dijkstra algorithm using an inventive contraction hierarchy is proposed. The algorithm considers a directed acyclic graph with a conical or semi-circular structure for which a pair of edges is chosen iteratively…

Data Structures and Algorithms · Computer Science 2015-03-20 Ugochi A. Okengwu , Enoch O. Nwachukwu , Emmanuel N. Osegi

We propose a novel centralized and decoupled algorithm, DDM, for solving multi-robot path planning problems in grid graphs, targeting on-demand and automated warehouse-like settings. Two settings are studied: a traditional one whose…

Robotics · Computer Science 2019-12-17 Shuai D. Han , Jingjin Yu

The Dijkstra algorithm is a classical method for solving the shortest path problem on weighted graphs. There are several variations of the Dijkstra algorithm, including algorithms for the widest path problem and for two-player games. In…

Data Structures and Algorithms · Computer Science 2026-05-22 Takahiro Sanada , Yoàv Montacute , Kittiphon Phalakarn , Ichiro Hasuo

Effective path planning is a pivotal challenge across various domains, from robotics to logistics and beyond. This research is centred on the development and evaluation of the Dynamic Curvature-Constrained Path Planning Algorithm (DCCPPA)…

Robotics · Computer Science 2024-10-07 Nishkal Gupta Myadam

Indoor navigation systems leverage shortest path algorithms to calculate routes. In order to define the "shortest path", a cost function has to be specified based on theories and heuristics in the application domain. For the domain of…

Artificial Intelligence · Computer Science 2021-07-26 Isabella Kreller , Bernd Ludwig

This paper presents a novel on-line path planning method that enables aerial robots to interact with surfaces. We present a solution to the problem of finding trajectories that drive a robot towards a surface and move along it. Triangular…

Robotics · Computer Science 2021-02-23 Michael Pantic , Lionel Ott , Cesar Cadena , Roland Siegwart , Juan Nieto

Autonomous exploration of unknown environments using a team of mobile robots demands distributed perception and planning strategies to enable efficient and scalable performance. Ideally, each robot should update its map and plan its motion…

Robotics · Computer Science 2024-05-07 Arash Asgharivaskasi , Fritz Girke , Nikolay Atanasov
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