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The Dijkstra algorithm is a classic path planning method, which operates in a discrete graph space to determine the shortest path from a specified source point to a target node or all other nodes based on non-negative edge weights. Numerous…

Robotics · Computer Science 2025-06-30 Yu Zhang , Xiao-Song Yang

A key aspect of the precision of a mobile robots localization is the quality and aptness of the map it is using. A variety of mapping approaches are available that can be employed to create such maps with varying degrees of effort, hardware…

Robotics · Computer Science 2023-04-25 Justin Ziegenbein , Manuel Schrick , Marko Thiel , Johannes Hinckeldeyn , Jochen Kreutzfeldt

Automated driving in urban scenarios requires efficient planning algorithms able to handle complex situations in real-time. A popular approach is to use graph-based planning methods in order to obtain a rough trajectory which is…

Robotics · Computer Science 2021-02-17 Oliver Speidel , Jona Ruof , Klaus Dietmayer

To move through the world, mobile robots typically use a receding-horizon strategy, wherein they execute an old plan while computing a new plan to incorporate new sensor information. A plan should be dynamically feasible, meaning it obeys…

Optimization and Control · Mathematics 2020-03-05 Shreyas Kousik , Bohao Zhang , Pengcheng Zhao , Ram Vasudevan

Two averaging algorithms are considered which are intended for choosing an optimal plane and an optimal circle approximating a group of points in three-dimensional Euclidean space.

Computational Geometry · Computer Science 2007-05-23 Ruslan Sharipov

In the past decade, significant research has been carried out for realizing intelligent network routing using advertisement, position and near-optimum node selection schemes. In this paper, a grade-based two-level node selection method…

Networking and Internet Architecture · Computer Science 2012-04-02 T. R. Gopalakrishnan Nair , Kavitha Sooda

Hierarchical, multi-resolution volumetric mapping approaches are widely used to represent large and complex environments as they can efficiently capture their occupancy and connectivity information. Yet widely used path planning methods…

Robotics · Computer Science 2026-02-25 Victor Reijgwart , Cesar Cadena , Roland Siegwart , Lionel Ott

Multi-objective or multi-destination path planning is crucial for mobile robotics applications such as mobility as a service, robotics inspection, and electric vehicle charging for long trips. This work proposes an anytime iterative system…

Robotics · Computer Science 2022-05-31 Jiunn-Kai Huang , Yingwen Tan , Dongmyeong Lee , Vishnu R. Desaraju , Jessy W. Grizzle

We propose a framework for active mapping and exploration that leverages Gaussian splatting for constructing dense maps. Further, we develop a GPU-accelerated motion planning algorithm that can exploit the Gaussian map for real-time…

Robotics · Computer Science 2025-10-07 Yuezhan Tao , Dexter Ong , Varun Murali , Igor Spasojevic , Pratik Chaudhari , Vijay Kumar

Sampling-based algorithms for robot path planning offer probabilistic completeness and strong empirical convergence properties across environments with diverse obstacle configurations. However, in practice, these methods often require many…

Robotics · Computer Science 2026-05-26 Hichem Cheriet , Badra Khellat Kihel , Samira Chouraqui , Bara J. Emran

This work presents a novel data-driven path planning algorithm named Instruction-Guided Probabilistic Roadmap (IG-PRM). Despite the recent development and widespread use of mobile robot navigation, the safe and effective travels of mobile…

Robotics · Computer Science 2025-02-25 Jiaqi Bao , Ryo Yonetani

This paper presents a mission system and the therein implemented algorithms for path planning in a time-varying environment based on graph methods. The basic task of the introduced path planning algorithms is to find a time-optimal path…

Robotics · Computer Science 2020-08-06 Mike Eichhorn

Indoor motion planning focuses on solving the problem of navigating an agent through a cluttered environment. To date, quite a lot of work has been done in this field, but these methods often fail to find the optimal balance between…

Robotics · Computer Science 2022-09-20 Shivam Sood , Jaskaran Singh Sodhi , Parv Maheshwari , Karan Uppal , Debashish Chakravarty

The problem of navigating a bipedal robot to a desired destination in various environments is very important. However, it is very difficult to solve the navigation problem in real time because the computation time is very long due to the…

Robotics · Computer Science 2022-11-11 Joon-Ha Kim

Geodesic distance, commonly called shortest path length, has proved useful in a great variety of disciplines. It has been playing a significant role in search engine at present and so attracted considerable attention at the last few…

Combinatorics · Mathematics 2019-09-17 Xudong Luo , Fei Ma , Wentao Xu

In this paper, we study the problem of map matching with travel time constraints. Given a sequence of $k$ spatio-temporal measurements and an embedded path graph with travel time costs, the goal is to snap each measurement to a close-by…

Computational Geometry · Computer Science 2025-06-24 Yannick Bosch , Sabine Storandt

In this paper, we introduce and test our algorithm to create a road network representation for city-scale active transportation simulation models. The algorithm relies on open and universal data to ensure applicability for different cities…

Physics and Society · Physics 2021-10-14 Afshin Jafari , Alan Both , Dhirendra Singh , Lucy Gunn , Billie Giles-Corti

Trajectory optimization methods for motion planning attempt to generate trajectories that minimize a suitable objective function. Such methods efficiently find solutions even for high degree-of-freedom robots. However, a globally optimal…

Robotics · Computer Science 2019-07-18 Luka Petrović , Juraj Peršić , Marija Seder , Ivan Marković

This paper describes a data-driven framework for approximate global optimization in which precomputed solutions to a sample of problems are retrieved and adapted during online use to solve novel problems. This approach has promise for…

Robotics · Computer Science 2016-05-17 Kris Hauser

Solving for the minimum time bounded acceleration trajectory with prescribed position and velocity at endpoints is a highly nonlinear problem. The methods and bounds developed in this paper distinguish when there is a continuous…

Numerical Analysis · Mathematics 2013-10-23 Stewart D. Johnson
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