Uncertainty Propagation Using Copulas in a 3D Stereo Matching Pipeline
Abstract
This contribution presents a concrete example of uncertainty propagation in a stereo matching pipeline. It considers the problem of matching pixels between pairs of images whose radiometry is uncertain and modeled by possibility distributions. Copulas serve as dependency models between variables and are used to propagate the imprecise models. The propagation steps are detailed in the simple case of the Sum of Absolute Difference cost function for didactic purposes. The method results in an imprecise matching cost curve. To reduce computation time, a sufficient condition for conserving possibility distributions after the propagation is also presented. Finally, results are compared with Monte Carlo simulations, indicating that the method produces envelopes capable of correctly estimating the matching cost.
Cite
Text
Malinowski et al. "Uncertainty Propagation Using Copulas in a 3D Stereo Matching Pipeline." Proceedings of the Thirteenth International Symposium on Imprecise Probability: Theories and Applications, 2023.Markdown
[Malinowski et al. "Uncertainty Propagation Using Copulas in a 3D Stereo Matching Pipeline." Proceedings of the Thirteenth International Symposium on Imprecise Probability: Theories and Applications, 2023.](https://mlanthology.org/isipta/2023/malinowski2023isipta-uncertainty/)BibTeX
@inproceedings{malinowski2023isipta-uncertainty,
title = {{Uncertainty Propagation Using Copulas in a 3D Stereo Matching Pipeline}},
author = {Malinowski, Roman and Destercke, Sébastien and Dubois, Emmanuel and Dumas, Loı̈c and Sarrazin, Emmanuelle},
booktitle = {Proceedings of the Thirteenth International Symposium on Imprecise Probability: Theories and Applications},
year = {2023},
pages = {288-298},
volume = {215},
url = {https://mlanthology.org/isipta/2023/malinowski2023isipta-uncertainty/}
}