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Related papers: Reparametrization of 3D CSC Dubins Paths Enabling …

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We present an analytic solution to the 3D Dubins path problem for paths composed of an initial circular arc, a straight component, and a final circular arc. These are commonly called CSC paths. By modeling the start and goal configurations…

Robotics · Computer Science 2024-05-15 Victor M. Baez , Nikhil Navkar , Aaron T. Becker

Computing shortest paths for curvature-constrained Dubins vehicles on the unit sphere is fundamental to many engineering applications, including long-range flight planning, persistent surveillance patterns, and global routing problems where…

Geophysics · Physics 2026-01-06 Linhong Li , Qi Feng , Yangang Liang , Kebo Li

The Dubins path problem had enormous applications in path planning for autonomous vehicles. In this paper, we consider a generalization of the Dubins path planning problem, which is to find a shortest Dubins path that starts from a given…

Optimization and Control · Mathematics 2018-04-20 Satyanarayana Gupta Manyam , David Casbeer , Alexander Von Moll , Zachary Fuchs

This paper is concerned with the minimum-time path-planning problem for a Dubins airplane under the influence of steady wind. The path-planning problem, by transforming into the air-relative frame, is equivalent to finding the minimum-time…

Optimization and Control · Mathematics 2024-12-09 Fanchen Wu , Zheng Chen

In this article, a new model for 3D motion planning, applicable to aerial vehicles, is proposed to connect an initial and final configuration subject to pitch rate and yaw rate constraints. The motion planning problem for a…

Optimization and Control · Mathematics 2026-04-14 Deepak Prakash Kumar , Swaroop Darbha , Satyanarayana Gupta Manyam , David Casbeer

This paper presents a rapid (real time) solution to the minimum-time path planning problem for Dubins vehicles under environmental currents (wind or ocean currents). Real-time solutions are essential in time-critical situations (such as…

Robotics · Computer Science 2021-05-11 Khushboo Mittal , Junnan Song , Shalabh Gupta , Thomas A. Wettergren

In this paper, motion planning for a Dubins vehicle on a unit sphere to attain a desired final location is considered. The radius of the Dubins path on the sphere is lower bounded by $r$. In a previous study, this problem was addressed,…

Optimization and Control · Mathematics 2024-09-17 Deepak Prakash Kumar , Swaroop Darbha , Satyanarayana Gupta Manyam , David Casbeer

In this paper, we address the problem of computing optimal paths through three consecutive points for the curvature-constrained forward moving Dubins vehicle. Given initial and final configurations of the Dubins vehicle, and a midpoint with…

Systems and Control · Computer Science 2016-09-22 Armin Sadeghi , Stephen L. Smith

In this article, the candidate optimal paths for a Dubins vehicle on a sphere are analytically derived. In particular, the arc angles for segments in $CGC$, $CCC$, $CCCC$, and $CCCCC$ paths, which have previously been shown to be optimal…

Optimization and Control · Mathematics 2025-04-17 Deepak Prakash Kumar , Swaroop Darbha , Satyanarayana Gupta Manyam , David Casbeer

In this paper, we propose a new modeling approach and a fast algorithm for 3D motion planning, applicable for fixed-wing unmanned aerial vehicles. The goal is to construct the shortest path connecting given initial and final configurations…

Robotics · Computer Science 2026-05-19 Deepak Prakash Kumar , Swaroop Darbha , Satyanarayana Gupta Manyam , David W. Casbeer

This paper consists of a formal analysis and one solid solution to the knot finding problem given a source polyline and a parametric curve (e.g. circular arc, ellipse or biarc). We solve the problem using both a greedy algorithm to collect…

Computational Geometry · Computer Science 2018-08-21 Honorio Salmerón Valdivieso

This paper investigates the problem of planning a minimum-length tour for a three-dimensional Dubins airplane model to visually inspect a series of targets located on the ground or exterior surface of objects in an urban environment.…

Systems and Control · Electrical Eng. & Systems 2023-01-23 Collin Hague , Andrew Willis , Dipankar Maity , Artur Wolek

The problem of finding the shortest path for a vehicle visiting a given sequence of target points subject to the motion constraints of the vehicle is an important problem that arises in several monitoring and surveillance applications…

Robotics · Computer Science 2016-04-19 Sivakumar Rathinam , Pramod Khargonekar

This paper is concerned with characterizing the shortest path of a Dubins vehicle from a position with a prescribed heading angle to a target circle with the final heading tangential to the target circle. Such a shortest path is of…

Optimization and Control · Mathematics 2020-04-08 Zheng Chen

Time-optimal path planning in high winds for a turning-rate constrained UAV is a challenging problem to solve and is important for deployment and field operations. Previous works have used trochoidal path segments comprising straight and…

Robotics · Computer Science 2023-12-05 Brady Moon , Sagar Sachdev , Junbin Yuan , Sebastian Scherer

This letter addresses the 3D coverage path planning (CPP) problem for terrain reconstruction of unknown obstacle rich environments. Due to sensing limitations, the proposed method, called CT-CPP, performs layered scanning of the 3D region…

Robotics · Computer Science 2021-12-03 Zongyuan Shen , Junnan Song , Khushboo Mittal , Shalabh Gupta

Path planning for multiple unmanned aerial vehicles is a difficult task, and even more for a fleet of fixed-wing aircraft. One specific case is the transition to, or between, formation flight patterns, which requires synchronous arrivals…

Optimization and Control · Mathematics 2026-03-24 Maël Feurgard , Gautier Hattenberger , Nicolas Durand , Simon Lacroix

Path planning is an important component in any highly automated vehicle system. In this report, the general problem of path planning is considered first in partially known static environments where only static obstacles are present but the…

Robotics · Computer Science 2018-04-20 Asem Khattab

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

In this paper, we consider the tracking of arbitrary curvilinear geometric paths in three-dimensional output spaces of unmanned aerial vehicles (UAVs) without pre-specified timing requirements, commonly referred to as path-following…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Saurabh Kumar , Shashi Ranjan Kumar , Abhinav Sinha
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