Quality control of DEMs using check surfaces

This paper proposes the use of check surfaces or ‘patches’ for the assessment of Digital Elevation Model (DEM) elevations and derived variables (e.g. slope and aspect). We work with grid-type DEMs, and the patches are implemented through square windows of different sizes. Since the data included in...

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Main Authors: Francisco Javier Ariza-López, José Rodríguez-Avi
Format: Article
Language:English
Published: Taylor & Francis Group 2025-01-01
Series:Annals of GIS
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Online Access:https://www.tandfonline.com/doi/10.1080/19475683.2025.2452258
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author Francisco Javier Ariza-López
José Rodríguez-Avi
author_facet Francisco Javier Ariza-López
José Rodríguez-Avi
author_sort Francisco Javier Ariza-López
collection DOAJ
description This paper proposes the use of check surfaces or ‘patches’ for the assessment of Digital Elevation Model (DEM) elevations and derived variables (e.g. slope and aspect). We work with grid-type DEMs, and the patches are implemented through square windows of different sizes. Since the data included in a patch are autocorrelated, a trial is performed under controlled conditions of simulation, and then the same simulation method is applied to a DEM data set. Using the Kolmogorov–Smirnov statistic, the observed distribution functions of the results for different sample sizes (20, 50, 100) and different patch sizes (3 × 3, 5 × 5, 9 × 9, 11 × 11, 15 × 15, 19 × 19) and for a sample of points are compared against the true population distribution function. The trial based on autocorrelated synthetic data created following a geostatistical model (exponential law) outputs a clear result regarding the influence of intra-patch autocorrelation. The lower this autocorrelation is, the better the patch performs in terms of sampling efficiency. The same simulation process applied to synthetic data has also been applied to the case of a DEM product. The results obtained allow us to establish an equivalence between sample size when using control patches and control points. The main result of this study is that it allows us to understand the behaviour of samples based on patches and offers us a guide for determining the size of patch-based samples. The most relevant contribution of this proposal is that it opens the possibility of analysing variables derived from elevation data, such as slope and aspect.
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spelling doaj-art-a4e2ee57c9a0432fabe5edccab0ce4492025-08-20T03:22:18ZengTaylor & Francis GroupAnnals of GIS1947-56831947-56912025-01-013119110610.1080/19475683.2025.2452258Quality control of DEMs using check surfacesFrancisco Javier Ariza-López0José Rodríguez-Avi1Departamento de Ingeniería Cartográfica, Geodésica y Fotogrametría, Universidad de Jaén, Jaén, SpainDepartamento de Estadística e Investigación Operativa, Universidad de Jaén, Jaén, SpainThis paper proposes the use of check surfaces or ‘patches’ for the assessment of Digital Elevation Model (DEM) elevations and derived variables (e.g. slope and aspect). We work with grid-type DEMs, and the patches are implemented through square windows of different sizes. Since the data included in a patch are autocorrelated, a trial is performed under controlled conditions of simulation, and then the same simulation method is applied to a DEM data set. Using the Kolmogorov–Smirnov statistic, the observed distribution functions of the results for different sample sizes (20, 50, 100) and different patch sizes (3 × 3, 5 × 5, 9 × 9, 11 × 11, 15 × 15, 19 × 19) and for a sample of points are compared against the true population distribution function. The trial based on autocorrelated synthetic data created following a geostatistical model (exponential law) outputs a clear result regarding the influence of intra-patch autocorrelation. The lower this autocorrelation is, the better the patch performs in terms of sampling efficiency. The same simulation process applied to synthetic data has also been applied to the case of a DEM product. The results obtained allow us to establish an equivalence between sample size when using control patches and control points. The main result of this study is that it allows us to understand the behaviour of samples based on patches and offers us a guide for determining the size of patch-based samples. The most relevant contribution of this proposal is that it opens the possibility of analysing variables derived from elevation data, such as slope and aspect.https://www.tandfonline.com/doi/10.1080/19475683.2025.2452258Digital elevation modelspatchesKolmogorov-Smirnov statisticquality control
spellingShingle Francisco Javier Ariza-López
José Rodríguez-Avi
Quality control of DEMs using check surfaces
Annals of GIS
Digital elevation models
patches
Kolmogorov-Smirnov statistic
quality control
title Quality control of DEMs using check surfaces
title_full Quality control of DEMs using check surfaces
title_fullStr Quality control of DEMs using check surfaces
title_full_unstemmed Quality control of DEMs using check surfaces
title_short Quality control of DEMs using check surfaces
title_sort quality control of dems using check surfaces
topic Digital elevation models
patches
Kolmogorov-Smirnov statistic
quality control
url https://www.tandfonline.com/doi/10.1080/19475683.2025.2452258
work_keys_str_mv AT franciscojavierarizalopez qualitycontrolofdemsusingchecksurfaces
AT joserodriguezavi qualitycontrolofdemsusingchecksurfaces