An Effective Algorithm for Finding Shortest Paths in Tubular Spaces

We propose a novel algorithm to determine the Euclidean shortest path (ESP) from a given point (source) to another point (destination) inside a tubular space. The method is based on the observation data of a virtual particle (VP) assumed to move along this path. In the first step, the geometric prop...

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Bibliographic Details
Published in:Algorithms Vol. 15; no. 3; p. 79
Main Authors: Nguyen, Dang-Viet-Anh, Szewczyk, Jérôme, Rabenorosoa, Kanty
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.03.2022
MDPI
Subjects:
Algorithms
Approximation
Automatic
Computer Science
Data Structures and Algorithms
Dijkstra’s algorithm
Engineering Sciences
Euclidean shortest path
Geometry
Graphs
Mathematical analysis
oriented drilling process
reactive algorithm
tubular space
Unmanned aerial vehicles
Visibility
ISSN:1999-4893, 1999-4893
Online Access:Get full text
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Summary:We propose a novel algorithm to determine the Euclidean shortest path (ESP) from a given point (source) to another point (destination) inside a tubular space. The method is based on the observation data of a virtual particle (VP) assumed to move along this path. In the first step, the geometric properties of the shortest path inside the considered space are presented and proven. Utilizing these properties, the desired ESP can be segmented into three partitions depending on the visibility of the VP. Our algorithm will check which partition the VP belongs to and calculate the correct direction of its movement, and thus the shortest path will be traced. The proposed method is then compared to Dijkstra’s algorithm, considering different types of tubular spaces. In all cases, the solution provided by the proposed algorithm is smoother, shorter, and has a higher accuracy with a faster calculation speed than that obtained by Dijkstra’s method.
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ISSN:1999-4893
1999-4893
DOI:10.3390/a15030079