Caracterización del error en MDE por mixtura de distribuciones

Avi, José Rodríguez

doi:10.35424/rcarto.i103.968

rcarto

2021

DOI: 10.35424/rcarto.i103.968

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Caracterización del error en MDE por mixtura de distribuciones

José Rodríguez Avi

Abstract: La exactitud posicional de los modelos digitales de elevaciones (MDE) suele evaluarse por medio del análisis del error vertical que se observa en muestras de puntos. Las técnicas estadísticas tradicionales suponen que los errores altimétricos siguen distribuciones normales, pero se sabe que esto no es cierto en numerosas ocasiones. En este trabajo se propone, de manera pionera en el campo de los MDE, la utilización de técnicas basadas en la determinación de mixturas (o mezclas) de distribuciones normales para … Show more

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Cited by 2 publications

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Cartographic Accuracy Standard (CAS) of the digital terrain model of the digital and continuous cartographic base of the state of Amapá: case study in the city of Macapá

Filho

Cornero²,

Pereira³

et al. 2022

Bol. Ciênc. Geod.

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The Cartographic Accuracy Standard (CAS) is a quality parameter used by the Brazilian standard to estimate the positional quality of cartographic products in their degree of precision, also including altimetry. The Digital and Continuous Cartographic Base of Amapá -BCDCA has a large amount of freely available spatial information, for the study of its territory within the state of Amapá. This project, a partnership between the Government of the State of Amapá and the Directorate of Geographical Services of the Brazilian Army (DSG), obtained a large amount of SAR data by interferometry. Among the resulting products, the Digital Terrain Model -DTM has a wide range of applications: watershed analysis, infrastructure program, diagnosis of environmental risks and so many others. Therefore, the present work aims to evaluate the altimetric data (DTM) provided by the BCDCA through 2172 orthometric points calculated from the Brazilian Network for Continuous Monitoring -RBMC measured in the field in the city of Macapá, capital of the State of Amapá. For the level curves, the results presented class A for the 1: 10 000 scale, at an equidistance of 5 m, showing that the DTM product is highly reliable for urban applications.

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Cartographic Accuracy Standard (CAS) of the digital terrain model of the digital and continuous cartographic base of the state of Amapá: case study in the city of Macapá

Filho

Cornero²,

Pereira³

et al. 2022

Bol. Ciênc. Geod.

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show abstract

Finite Mixture Models in the Evaluation of Positional Accuracy of Geospatial Data

Avi

López

2022

Remote Sensing

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Digital elevation models (DEMs) are highly relevant geospatial products, and their positional accuracy has demonstrated influence on elevation derivatives (e.g., slope, aspect, curvature, etc.) and GIS results (e.g., drainage network and watershed delineation, etc.). The accuracy assessment of the DEMs is usually based on analyzing the altimetric component by means of positional accuracy assessment methods that are based on the use of a normal distribution for error modeling but, unfortunately, the observed distribution of the altimetric errors is not always normal. This paper proposes the application of a finite mixture model (FMM) to model altimetric errors. The way to adjust the FMM is provided. Moreover, the behavior under sampling is analyzed when applying different positional accuracy assessment standards such as National Map Accuracy Standards (NMAS), Engineering Map Accuracy Standard (EMAS) and National Standard for Spatial Data Accuracy (NSSDA) under the consideration of the FMM and the traditional approach-based one-single normal distribution model (1NDM). For the NMAS, the FMM performs statistically much better than the 1NDM when considering all the tolerance values and sample sizes. For the EMAS, the type I error level is around 3.5 times higher in the case of the 1NDM than in the case of the FMM. In the case of the NSSDA, as it has been applied in this research (simple comparison of values, not hypothesis testing), there is no great difference in behavior. The conclusions are clear; the FMM offers results that are always more consistent with the real distribution of errors, and with the supposed statistical behavior of the positional accuracy assessment standard when based on hypothesis testing.

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Caracterización del error en MDE por mixtura de distribuciones

Cited by 2 publications

References 11 publications

Cartographic Accuracy Standard (CAS) of the digital terrain model of the digital and continuous cartographic base of the state of Amapá: case study in the city of Macapá

Cartographic Accuracy Standard (CAS) of the digital terrain model of the digital and continuous cartographic base of the state of Amapá: case study in the city of Macapá

Finite Mixture Models in the Evaluation of Positional Accuracy of Geospatial Data

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