A New Method for Positional Accuracy Control for Non-Normal Errors Applied to Airborne Laser Scanner Data

Ariza-López, Francisco Javier; Rodríguez-Avi, José; González-Aguilera, Diego; Rodríguez-Gonzálvez, Pablo

doi:10.3390/app9183887

Open AccessArticle

A New Method for Positional Accuracy Control for Non-Normal Errors Applied to Airborne Laser Scanner Data

by

Francisco Javier Ariza-López

¹,

José Rodríguez-Avi

^2,*

,

Diego González-Aguilera

³

and

Pablo Rodríguez-Gonzálvez

⁴

¹

Departamento de Ingeniería Cartográfica, Geodésica y Fotogrametría, Universidad de Jaén, 23071 Jaén, Spain

²

Departamento de Estadística e I. O. University of Jaén, 23071 Jaén, Spain

³

Department of Cartographic and Land Engineering. University of Salamanca, 05003 Ávila, Spain

⁴

Department of Mining Technology, Topography, and Structures, Universidad de León, 24401 Ponferrada (León), Spain

^*

Author to whom correspondence should be addressed.

Appl. Sci. 2019, 9(18), 3887; https://doi.org/10.3390/app9183887

Submission received: 4 August 2019 / Revised: 10 September 2019 / Accepted: 11 September 2019 / Published: 16 September 2019

(This article belongs to the Special Issue Remote Sensing and Geoscience Information Systems in Applied Sciences)

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Abstract

A new statistical method for the quality control of the positional accuracy, useful in a wide range of data sets, is proposed and its use is illustrated through its application to airborne laser scanner (ALS) data. The quality control method is based on the use of a multinomial distribution that categorizes cases of errors according to metric tolerances. The use of the multinomial distribution is a very novel and powerful approach to the problem of evaluating positional accuracy, since it allows for eliminating the need for a parametric model for positional errors. Three different study cases based on ALS data (infrastructure, urban, and natural cases) that contain non-normal errors were used. Three positional accuracy controls with different tolerances were developed. In two of the control cases, the tolerances were defined by a Gaussian model, and in the third control case, the tolerances were defined from the quantiles of the observed error distribution. The analysis of the test results based on the type I and type II errors show that the method is able to control the positional accuracy of freely distributed data.

Keywords: ALS data; non-normal errors; positional accuracy; quality control; multinomial distribution

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MDPI and ACS Style

Ariza-López, F.J.; Rodríguez-Avi, J.; González-Aguilera, D.; Rodríguez-Gonzálvez, P. A New Method for Positional Accuracy Control for Non-Normal Errors Applied to Airborne Laser Scanner Data. Appl. Sci. 2019, 9, 3887. https://doi.org/10.3390/app9183887

AMA Style

Ariza-López FJ, Rodríguez-Avi J, González-Aguilera D, Rodríguez-Gonzálvez P. A New Method for Positional Accuracy Control for Non-Normal Errors Applied to Airborne Laser Scanner Data. Applied Sciences. 2019; 9(18):3887. https://doi.org/10.3390/app9183887

Chicago/Turabian Style

Ariza-López, Francisco Javier, José Rodríguez-Avi, Diego González-Aguilera, and Pablo Rodríguez-Gonzálvez. 2019. "A New Method for Positional Accuracy Control for Non-Normal Errors Applied to Airborne Laser Scanner Data" Applied Sciences 9, no. 18: 3887. https://doi.org/10.3390/app9183887

APA Style

Ariza-López, F. J., Rodríguez-Avi, J., González-Aguilera, D., & Rodríguez-Gonzálvez, P. (2019). A New Method for Positional Accuracy Control for Non-Normal Errors Applied to Airborne Laser Scanner Data. Applied Sciences, 9(18), 3887. https://doi.org/10.3390/app9183887

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

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A New Method for Positional Accuracy Control for Non-Normal Errors Applied to Airborne Laser Scanner Data

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