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This paper presents an advanced method for addressing the inverse kinematics and optimal path planning challenges in robot manipulators. The inverse kinematics problem involves determining the joint angles for a given position and…

Robotics · Computer Science 2024-12-25 Yusuke Shirato , Natsumi Oka , Akira Terui , Masahiko Mikawa

We present improvements to a recently developed method for trajectory planning for autonomous surface vehicles (ASVs) in terms of run time. The original method combines two types of planners: An A* implementation that quickly finds the…

Systems and Control · Electrical Eng. & Systems 2019-08-21 Glenn Bitar , Anastasios M. Lekkas , Morten Breivik

Vehicle trajectory planning is a key component for an autonomous driving system. A practical system not only requires the component to compute a feasible trajectory, but also a comfortable one given certain comfort metrics. Nevertheless,…

Robotics · Computer Science 2023-07-19 Yajia Zhang , Hongyi Sun , Ruizhi Chai , Daike Kang , Shan Li , Liyun Li

We analyze several optimal transportation problems between de-terminantal point processes. We show how to estimate some of the distances between distributions of DPP they induce. We then apply these results to evaluate the accuracy of a new…

Data Structures and Algorithms · Computer Science 2020-11-03 Laurent Decreusefond , Guillaume Moroz

We use sensitivity analysis to design bounding-focused discretization (cutting-surface) methods for the global optimization of nonconvex semi-infinite programs (SIPs). We begin by formulating the optimal bounding-focused discretization of…

Optimization and Control · Mathematics 2025-06-24 Evren M. Turan , Johannes Jäschke , Rohit Kannan

In recent decades, global path planning of robot has seen significant advancements. Both heuristic search-based methods and probability sampling-based methods have shown capabilities to find feasible solutions in complex scenarios. However,…

Robotics · Computer Science 2025-08-19 Zong Chen , Yiqun Li

This paper presents a multiscale approach to efficiently compute approximate optimal transport plans between point sets. It is particularly well-suited for point sets that are in high-dimensions, but are close to being intrinsically…

Machine Learning · Computer Science 2021-04-13 Samuel Gerber , Mauro Maggioni

We demonstrate that challenging shortest path problems can be solved via direct spline regression from a neural network, trained in an unsupervised manner (i.e. without requiring ground truth optimal paths for training). To achieve this, we…

Robotics · Computer Science 2021-03-10 Michal Pándy , Daniel Lenton , Ronald Clark

This paper presents a new method for integrated time-optimal routing and trajectory optimization of multirotor unmanned aerial vehicles (UAVs). Our approach extends the well-known Traveling Salesman Problem by accounting for the limited…

Robotics · Computer Science 2022-12-01 Fabian Meyer , Katharina Glock

We introduce a decentralized and online path planning technique for a network of unmanned aerial vehicles (UAVs) in the presence of weather disturbances. In our problem setting, the group of UAVs are required to collaboratively visit a set…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-16 Wei Zhao , Borzoo Bonakdarpour

This paper introduces a local planner that synergizes the decision making and trajectory planning modules towards autonomous driving. The decision making and trajectory planning tasks are jointly formulated as a nonlinear programming…

Robotics · Computer Science 2024-12-02 Wenru Liu , Haichao Liu , Lei Zheng , Zhenmin Huang , Jun Ma

This study proposes a new automated strategy for designing and optimizing three-dimensional interplanetary low-thrust (LT) trajectories. The method formulates the design as a hybrid optimal control problem and solves it using a two-step…

Optimization and Control · Mathematics 2023-09-22 Burhani M. Burhani , Elena Fantino , Roberto Flores , Manuel Sanjurjo-Rivo

In built infrastructure monitoring, an efficient path planning algorithm is essential for robotic inspection of large surfaces using computer vision. In this work, we first formulate the inspection path planning problem as an extended…

Robotics · Computer Science 2017-06-15 Manh Duong Phung , Cong Hoang Quach , Tran Hiep Dinh , Quang Ha

This paper presents a method based on linear programming for trajectory planning of automated vehicles, combining obstacle avoidance, time scheduling for the reaching of waypoints and time-optimal traversal of tube-like road segments.…

Systems and Control · Computer Science 2017-07-25 Mogens Graf Plessen

This paper explores a rapid, optimal smooth path-planning algorithm for robots (e.g., autonomous vehicles) in point cloud environments. Derivative maps such as dense point clouds, mesh maps, Octomaps, etc. are frequently used for path…

Robotics · Computer Science 2022-11-15 Zhaoliang Zheng , Thomas R. Bewley , Falko Kuester , Jiaqi Ma

This paper introduces a new path planning algorithm for unmanned aerial vehicles (UAVs) based on the teaching-learning-based optimization (TLBO) technique. We first define an objective function that incorporates requirements on the path…

Robotics · Computer Science 2022-06-01 Van Truong Hoang , Manh Duong Phung

Generating overtaking trajectories in autonomous racing is a challenging task, as the trajectory must satisfy the vehicle's dynamics and ensure safety and real-time performance running on resource-constrained hardware. This work proposes…

Robotics · Computer Science 2025-08-19 Cheng Hu , Jihao Huang , Wule Mao , Yonghao Fu , Xuemin Chi , Haotong Qin , Nicolas Baumann , Zhitao Liu , Michele Magno , Lei Xie

Let $s$ be a source point and $t$ be a destination point inside an $n$-vertex simple polygon $P$. Euclidean shortest paths and minimum-link paths between $s$ and $t$ inside $P$ have been well studied. Both these kinds of paths are simple…

Computational Geometry · Computer Science 2014-05-02 Arijit Bishnu , Subir Kumar Ghosh , Partha Pratim Goswami , Sudebkumar Prasant Pal , Swami Sarvattomananda

The paper is concerned with elongating the shortest curvature-bounded path between two oriented points to an expected length. The elongation of curvature-bounded paths to an expected length is fundamentally important to plan missions for…

Optimization and Control · Mathematics 2024-01-04 Zheng Chen , Kun Wang , Yang Lu

We present a new pipelined approach to compute all pairs shortest paths (APSP) in a directed graph with nonnegative integer edge weights (including zero weights) in the CONGEST model in the distributed setting. Our deterministic distributed…

Data Structures and Algorithms · Computer Science 2018-10-24 Udit Agarwal , Vijaya Ramachandran