A mathematical algorithm for dimensional control of tunnels using topographic profiles

作者:Ordonez Celestino*; Argueelles Ramon; Martinez Javier; Garcia Cortes Silverio
来源:International Journal of Computer Mathematics, 2013, 90(10): 2072-2078.
DOI:10.1080/00207160.2012.754017

摘要

We propose a new method to study the geometry of tunnels based on comparing topographic profiles considered as curves instead of sets of discrete points. Two different approaches were used to compare the profiles: one based on the notion of functional depth, which is a measure of the centrality of a set of curves, and the other based on ordering the scores of principal component decomposition. The proposed methodology was used to analyse the geometric quality of a tunnel by comparing a set of cross-sections of the tunnel measured using a RIEGL LMS-Z390i terrestrial laser scanner. The results obtained demonstrate the usefulness of the method based on principal component decomposition in detecting significant differences of the geometry along the tunnel.

  • 出版日期2013-10-1

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