Error propagation in the computation of volumes in 3D city models with the Monte Carlo method
This paper describes the analysis of the propagation of positional uncertainty in 3D city models to the uncertainty in the computation of their volumes. Current work related to error propagation in GIS is limited to 2D data and 2D GIS operations, especially of rasters. In this research we have (1) d...
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2014-11-01
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| Series: | ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences |
| Online Access: | http://www.isprs-ann-photogramm-remote-sens-spatial-inf-sci.net/II-2/31/2014/isprsannals-II-2-31-2014.pdf |
| _version_ | 1818920742651166720 |
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| author | F. Biljecki H. Ledoux J. Stoter |
| author_facet | F. Biljecki H. Ledoux J. Stoter |
| author_sort | F. Biljecki |
| collection | DOAJ |
| description | This paper describes the analysis of the propagation of positional uncertainty in 3D city models to the uncertainty in the computation
of their volumes. Current work related to error propagation in GIS is limited to 2D data and 2D GIS operations, especially of rasters.
In this research we have (1) developed two engines, one that generates random 3D buildings in CityGML in multiple LODs, and one
that simulates acquisition errors to the geometry; (2) performed an error propagation analysis on volume computation based on the
Monte Carlo method; and (3) worked towards establishing a framework for investigating error propagation in 3D GIS. The results of
the experiments show that a comparatively small error in the geometry of a 3D city model may cause significant discrepancies in the
computation of its volume. This has consequences for several applications, such as in estimation of energy demand and property taxes.
The contribution of this work is twofold: this is the first error propagation analysis in 3D city modelling, and the novel approach and
the engines that we have created can be used for analysing most of 3D GIS operations, supporting related research efforts in the future. |
| first_indexed | 2024-12-20T01:26:35Z |
| format | Article |
| id | doaj.art-82d8dfb801484ca998883e18ee66bfcd |
| institution | Directory Open Access Journal |
| issn | 2194-9042 2194-9050 |
| language | English |
| last_indexed | 2024-12-20T01:26:35Z |
| publishDate | 2014-11-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences |
| spelling | doaj.art-82d8dfb801484ca998883e18ee66bfcd2022-12-21T19:58:13ZengCopernicus PublicationsISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences2194-90422194-90502014-11-01II-2313910.5194/isprsannals-II-2-31-2014Error propagation in the computation of volumes in 3D city models with the Monte Carlo methodF. Biljecki0H. Ledoux1J. Stoter2Delft University of Technology, GIS Technology, the NetherlandsDelft University of Technology, GIS Technology, the NetherlandsDelft University of Technology, GIS Technology, the NetherlandsThis paper describes the analysis of the propagation of positional uncertainty in 3D city models to the uncertainty in the computation of their volumes. Current work related to error propagation in GIS is limited to 2D data and 2D GIS operations, especially of rasters. In this research we have (1) developed two engines, one that generates random 3D buildings in CityGML in multiple LODs, and one that simulates acquisition errors to the geometry; (2) performed an error propagation analysis on volume computation based on the Monte Carlo method; and (3) worked towards establishing a framework for investigating error propagation in 3D GIS. The results of the experiments show that a comparatively small error in the geometry of a 3D city model may cause significant discrepancies in the computation of its volume. This has consequences for several applications, such as in estimation of energy demand and property taxes. The contribution of this work is twofold: this is the first error propagation analysis in 3D city modelling, and the novel approach and the engines that we have created can be used for analysing most of 3D GIS operations, supporting related research efforts in the future.http://www.isprs-ann-photogramm-remote-sens-spatial-inf-sci.net/II-2/31/2014/isprsannals-II-2-31-2014.pdf |
| spellingShingle | F. Biljecki H. Ledoux J. Stoter Error propagation in the computation of volumes in 3D city models with the Monte Carlo method ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences |
| title | Error propagation in the computation of volumes in 3D city models with the Monte Carlo method |
| title_full | Error propagation in the computation of volumes in 3D city models with the Monte Carlo method |
| title_fullStr | Error propagation in the computation of volumes in 3D city models with the Monte Carlo method |
| title_full_unstemmed | Error propagation in the computation of volumes in 3D city models with the Monte Carlo method |
| title_short | Error propagation in the computation of volumes in 3D city models with the Monte Carlo method |
| title_sort | error propagation in the computation of volumes in 3d city models with the monte carlo method |
| url | http://www.isprs-ann-photogramm-remote-sens-spatial-inf-sci.net/II-2/31/2014/isprsannals-II-2-31-2014.pdf |
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