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Curvature-constrained Steiner networks with three terminals
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Journal Article
Curvature-constrained Steiner networks with three terminals
2024
Overview
A procedure is presented for finding the shortest network connecting three given undirected points, subject to a curvature constraint on both the path joining two of the points and the path that connects to the third point. The problem is a generalisation of the Fermat–Torricelli problem and is related to a shortest curvature-constrained path problem that was solved by Dubins. The procedure has the potential to be applied to the optimal design of decline networks in underground mines.
Publisher
Springer Nature B.V
Subject
