Error analysis between inverse distance weighting and polynomial methods of local orthometic height determination

Error in orthometric height determination is crucial for geodetic application in solving problems of surface topographic problem. Results obtained through various methods and procedures gives varied results. The accuracy in locally derived orthometric height depends on the method, technique and modelling system of its derivation. The study provides analysis on the relative accuracies between local orthometric heights derived using polynomial and inverse distance weighting (IDW) surface model. Orthometric heights from Nigerian triangulation network and GPS ellipsoidal height were used. Results from both the techniques were analysed using statistical variables for internal consistency and field validation. Polynomial happens to provide higher error in internal consistency but more precise result on field application while IDW showing the reverse case. Having yielded better results, polynomial model is recommended for local orthometric height determination.

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Publication Details

Journal
International Journal of Surveying and Structural Engineering
Published
2025-01-01
DOI
https://doi.org/10.22271/2707840x.2025.v6.i1a.33
Primary Topic
Advanced Measurement and Detection Methods
Type
article
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article

Error analysis between inverse distance weighting and polynomial methods of local orthometic height determination

A. Takana, Ayuba Abubakar Fusami, Edan JD
International Journal of Surveying and Structural Engineering
Advanced Measurement and Detection Methods
article

Error analysis between inverse distance weighting and polynomial methods of local orthometic height determination

A. Takana, Ayuba Abubakar Fusami, Edan JD
article en

Abstract

Error in orthometric height determination is crucial for geodetic application in solving problems of surface topographic problem. Results obtained through various methods and procedures gives varied results. The accuracy in locally derived orthometric height depends on the method, technique and modelling system of its derivation. The study provides analysis on the relative accuracies between local orthometric heights derived using polynomial and inverse distance weighting (IDW) surface model. Orthometric heights from Nigerian triangulation network and GPS ellipsoidal height were used. Results from both the techniques were analysed using statistical variables for internal consistency and field validation. Polynomial happens to provide higher error in internal consistency but more precise result on field application while IDW showing the reverse case. Having yielded better results, polynomial model is recommended for local orthometric height determination.

International Journal of Surveying and Structural EngineeringVol. 6(1)
Openalex Percentile: Top 88%
Advanced Measurement and Detection Methods
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Error analysis between inverse distance weighting and polynomial methods of local orthometic height determination — A. Takana, Ayuba Abubakar Fusami, et al. · International Journal of Surveying and Structural Engineering (2025) | TGRS Research Map | TGRS