Modeling the uncertainty of indirect calculations from 2D detected edges of projected 3D circular markers’ centers in photogrammetric systems
Optical markers’ centres’ calculation, indirectly inferred from fitted ellipses’ borders, is subject to uncertainties which arise from both noise in data and systematic errors and whose nonlinear propagation has a strong impact on the attainable overall uncertainty of i...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2024-12-01
|
| Series: | The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences |
| Online Access: | https://isprs-archives.copernicus.org/articles/XLVIII-2-W7-2024/137/2024/isprs-archives-XLVIII-2-W7-2024-137-2024.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850247995658862592 |
|---|---|
| author | O. Saez de Egilaz I. Auzmendi Iriarte P. González de Alaiza Martínez I. Leizea |
| author_facet | O. Saez de Egilaz I. Auzmendi Iriarte P. González de Alaiza Martínez I. Leizea |
| author_sort | O. Saez de Egilaz |
| collection | DOAJ |
| description | Optical markers’ centres’ calculation, indirectly inferred from fitted ellipses’ borders, is subject to uncertainties which arise from both noise in data and systematic errors and whose nonlinear propagation has a strong impact on the attainable overall uncertainty of industrial close-range photogrammetric systems. Based on both exhaustive experimental measurements and a revisit of pinhole projection theory mapping the 2D detected ellipses’ borders onto 3D circular markers’ borders, the detection’s precision, shown to be independent of systematic errors and markers’ size in the range of sizes 40–160 px, is characterized as a function of markers’ gray intensity and orientation, both of which measurable during image processing. The proposed model has two or three experimental coefficients which need to be customized according to the used camera-lens system and edge-detection algorithm. |
| format | Article |
| id | doaj-art-aefb3821878f4e228cf539e5ed2a9cc5 |
| institution | OA Journals |
| issn | 1682-1750 2194-9034 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences |
| spelling | doaj-art-aefb3821878f4e228cf539e5ed2a9cc52025-08-20T01:58:48ZengCopernicus PublicationsThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences1682-17502194-90342024-12-01XLVIII-2-W7-202413714410.5194/isprs-archives-XLVIII-2-W7-2024-137-2024Modeling the uncertainty of indirect calculations from 2D detected edges of projected 3D circular markers’ centers in photogrammetric systemsO. Saez de Egilaz0I. Auzmendi Iriarte1P. González de Alaiza Martínez2I. Leizea3IDEKO, Basque Research and Technology Alliance (BRTA), 20870 Elgoibar, SpainIDEKO, Basque Research and Technology Alliance (BRTA), 20870 Elgoibar, SpainIDEKO, Basque Research and Technology Alliance (BRTA), 20870 Elgoibar, SpainIDEKO, Basque Research and Technology Alliance (BRTA), 20870 Elgoibar, SpainOptical markers’ centres’ calculation, indirectly inferred from fitted ellipses’ borders, is subject to uncertainties which arise from both noise in data and systematic errors and whose nonlinear propagation has a strong impact on the attainable overall uncertainty of industrial close-range photogrammetric systems. Based on both exhaustive experimental measurements and a revisit of pinhole projection theory mapping the 2D detected ellipses’ borders onto 3D circular markers’ borders, the detection’s precision, shown to be independent of systematic errors and markers’ size in the range of sizes 40–160 px, is characterized as a function of markers’ gray intensity and orientation, both of which measurable during image processing. The proposed model has two or three experimental coefficients which need to be customized according to the used camera-lens system and edge-detection algorithm.https://isprs-archives.copernicus.org/articles/XLVIII-2-W7-2024/137/2024/isprs-archives-XLVIII-2-W7-2024-137-2024.pdf |
| spellingShingle | O. Saez de Egilaz I. Auzmendi Iriarte P. González de Alaiza Martínez I. Leizea Modeling the uncertainty of indirect calculations from 2D detected edges of projected 3D circular markers’ centers in photogrammetric systems The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences |
| title | Modeling the uncertainty of indirect calculations from 2D detected edges of projected 3D circular markers’ centers in photogrammetric systems |
| title_full | Modeling the uncertainty of indirect calculations from 2D detected edges of projected 3D circular markers’ centers in photogrammetric systems |
| title_fullStr | Modeling the uncertainty of indirect calculations from 2D detected edges of projected 3D circular markers’ centers in photogrammetric systems |
| title_full_unstemmed | Modeling the uncertainty of indirect calculations from 2D detected edges of projected 3D circular markers’ centers in photogrammetric systems |
| title_short | Modeling the uncertainty of indirect calculations from 2D detected edges of projected 3D circular markers’ centers in photogrammetric systems |
| title_sort | modeling the uncertainty of indirect calculations from 2d detected edges of projected 3d circular markers centers in photogrammetric systems |
| url | https://isprs-archives.copernicus.org/articles/XLVIII-2-W7-2024/137/2024/isprs-archives-XLVIII-2-W7-2024-137-2024.pdf |
| work_keys_str_mv | AT osaezdeegilaz modelingtheuncertaintyofindirectcalculationsfrom2ddetectededgesofprojected3dcircularmarkerscentersinphotogrammetricsystems AT iauzmendiiriarte modelingtheuncertaintyofindirectcalculationsfrom2ddetectededgesofprojected3dcircularmarkerscentersinphotogrammetricsystems AT pgonzalezdealaizamartinez modelingtheuncertaintyofindirectcalculationsfrom2ddetectededgesofprojected3dcircularmarkerscentersinphotogrammetricsystems AT ileizea modelingtheuncertaintyofindirectcalculationsfrom2ddetectededgesofprojected3dcircularmarkerscentersinphotogrammetricsystems |