Uncertainty Analysis of 3D Line Reconstruction in a New Minimal Spatial Line Representation
| Autor: | Keju Peng, Yunhui Liu, Weihong Fan, Dongxiang Zhou, Hang Zhou |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Computer science 02 engineering and technology line reconstruction lcsh:Technology Displacement (vector) lcsh:Chemistry 020901 industrial engineering & automation Line segment 0202 electrical engineering electronic engineering information engineering General Materials Science Point (geometry) Representation (mathematics) lcsh:QH301-705.5 Instrumentation uncertainty analysis Uncertainty analysis line representation Fluid Flow and Transfer Processes lcsh:T Orientation (computer vision) Process Chemistry and Technology General Engineering Triangulation (social science) lcsh:QC1-999 Computer Science Applications lcsh:Biology (General) lcsh:QD1-999 lcsh:TA1-2040 Line (geometry) Plücker coordinates 020201 artificial intelligence & image processing lcsh:Engineering (General). Civil engineering (General) Algorithm lcsh:Physics |
| Zdroj: | Applied Sciences Volume 10 Issue 3 Applied Sciences, Vol 10, Iss 3, p 1096 (2020) |
| ISSN: | 2076-3417 |
| DOI: | 10.3390/app10031096 |
| Popis: | Line segments are common in urban scenes and contain rich structural information. However, different from point-based reconstruction, reconstructed 3D lines may have large displacement from the ground truth in spite of a very small sum of reprojection error. In this work, we present a method to analyze the uncertainty of line reconstruction and provide a quantitative evaluation of accuracy. A new minimal four-vector line representation based on Plü cker line is introduced, which is tailed for uncertainty analysis of line reconstruction. Each component of the compact representation has a certain physical meaning about the 3D line&rsquo s orientation or position. The reliability of the reconstructed lines can be measured by the confidence interval of each component in the proposed representation. Based on the uncertainty analysis of two-view line triangulation, the uncertainty of multi-view line reconstruction is also derived. Combining the proposed uncertainty analysis with reprojection error, a more reliable 3D line map can be obtained. Experiments on simulation data, synthetic and real-world image sequences validate the feasibility of the proposed method. |
| Databáze: | OpenAIRE |
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