Assessment of Displacements of Linestrings Based on Homologous Vertexes

This study describes a new method that was developed in order to assess the displacements between two linestrings that represent the same element in two datasets based on their shape. Until now, all existing line-based methods have been focused on the calculation of distances or buffer inclusions be...

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Main Authors: Antonio Tomás Mozas-Calvache, Francisco Javier Ariza-López
Format: Article
Language:English
Published: MDPI AG 2018-12-01
Series:ISPRS International Journal of Geo-Information
Subjects:
Online Access:https://www.mdpi.com/2220-9964/7/12/473
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author Antonio Tomás Mozas-Calvache
Francisco Javier Ariza-López
author_facet Antonio Tomás Mozas-Calvache
Francisco Javier Ariza-López
author_sort Antonio Tomás Mozas-Calvache
collection DOAJ
description This study describes a new method that was developed in order to assess the displacements between two linestrings that represent the same element in two datasets based on their shape. Until now, all existing line-based methods have been focused on the calculation of distances or buffer inclusions between the two linestrings. However, these approaches assess a spatial difference between two linestrings, but they can hide the displacements that were suffered because of the geometry of the linestrings themselves. In our approach, the shapes of the linestrings are taken into account in order to identify homologous vertexes and estimate real displacements. Between two lines a pair of homologous vertices are defined as those that represent in reality the same characteristic feature of the line. Homologous vertexes can be detected by means of any appropriate algorithm. In order to test this method, we developed a design of experiment that was based on its application to a large dataset of lines classified into five sinuosity classes. These datasets were obtained from an external source that contains perturbed linestrings with several known random and systematic disturbances. 496 linestrings and 59 configurations were used in this experiment. The results have demonstrated the viability of the proposed method in estimating the real displacement of the lines, and consequently assessing their positional accuracy.
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spelling doaj.art-3b2e481e0d634bddb11de8342941d5602022-12-22T03:53:42ZengMDPI AGISPRS International Journal of Geo-Information2220-99642018-12-0171247310.3390/ijgi7120473ijgi7120473Assessment of Displacements of Linestrings Based on Homologous VertexesAntonio Tomás Mozas-Calvache0Francisco Javier Ariza-López1Department of Cartographic, Geodetic Engineering and Photogrammetry, University of Jaén, Campus Las Lagunillas, Edificio A3, 23071 Jaén, SpainDepartment of Cartographic, Geodetic Engineering and Photogrammetry, University of Jaén, Campus Las Lagunillas, Edificio A3, 23071 Jaén, SpainThis study describes a new method that was developed in order to assess the displacements between two linestrings that represent the same element in two datasets based on their shape. Until now, all existing line-based methods have been focused on the calculation of distances or buffer inclusions between the two linestrings. However, these approaches assess a spatial difference between two linestrings, but they can hide the displacements that were suffered because of the geometry of the linestrings themselves. In our approach, the shapes of the linestrings are taken into account in order to identify homologous vertexes and estimate real displacements. Between two lines a pair of homologous vertices are defined as those that represent in reality the same characteristic feature of the line. Homologous vertexes can be detected by means of any appropriate algorithm. In order to test this method, we developed a design of experiment that was based on its application to a large dataset of lines classified into five sinuosity classes. These datasets were obtained from an external source that contains perturbed linestrings with several known random and systematic disturbances. 496 linestrings and 59 configurations were used in this experiment. The results have demonstrated the viability of the proposed method in estimating the real displacement of the lines, and consequently assessing their positional accuracy.https://www.mdpi.com/2220-9964/7/12/473positional accuracyqualitylinestringsuncertaintyshape
spellingShingle Antonio Tomás Mozas-Calvache
Francisco Javier Ariza-López
Assessment of Displacements of Linestrings Based on Homologous Vertexes
ISPRS International Journal of Geo-Information
positional accuracy
quality
linestrings
uncertainty
shape
title Assessment of Displacements of Linestrings Based on Homologous Vertexes
title_full Assessment of Displacements of Linestrings Based on Homologous Vertexes
title_fullStr Assessment of Displacements of Linestrings Based on Homologous Vertexes
title_full_unstemmed Assessment of Displacements of Linestrings Based on Homologous Vertexes
title_short Assessment of Displacements of Linestrings Based on Homologous Vertexes
title_sort assessment of displacements of linestrings based on homologous vertexes
topic positional accuracy
quality
linestrings
uncertainty
shape
url https://www.mdpi.com/2220-9964/7/12/473
work_keys_str_mv AT antoniotomasmozascalvache assessmentofdisplacementsoflinestringsbasedonhomologousvertexes
AT franciscojavierarizalopez assessmentofdisplacementsoflinestringsbasedonhomologousvertexes