Incorporating Differential Constraints in a 3D Reconstruction Process. Application to Stereo
Abstract
We propose to incorporate a priori geometric constraints in a 3-D stereo reconstruction scheme to cope with the many cases where image information alone is not sufficient to accurately recover 3-D shape. Our approach is based on the iterative deformation of a 3-D surface mesh to minimize an objective function. We show that combining anisotropic meshing with a nonquadratic approach to regularization enables us to obtain satisfactory reconstruction results using triangulations with few vertices. Structural or numerical constraints can then be added locally to the reconstruction process through a constrained optimization scheme. They improve the reconstruction results and enforce their consistency with a priori knowledge about object shape. The strong description and modeling properties of differential features make them useful tools that can be efficiently used as constraints for 3-D reconstruction.
Cite
Text
Lengagne and Fua. "Incorporating Differential Constraints in a 3D Reconstruction Process. Application to Stereo." IEEE/CVF International Conference on Computer Vision, 2001. doi:10.1109/ICCV.2001.10066Markdown
[Lengagne and Fua. "Incorporating Differential Constraints in a 3D Reconstruction Process. Application to Stereo." IEEE/CVF International Conference on Computer Vision, 2001.](https://mlanthology.org/iccv/2001/lengagne2001iccv-incorporating/) doi:10.1109/ICCV.2001.10066BibTeX
@inproceedings{lengagne2001iccv-incorporating,
title = {{Incorporating Differential Constraints in a 3D Reconstruction Process. Application to Stereo}},
author = {Lengagne, Richard and Fua, Pascal},
booktitle = {IEEE/CVF International Conference on Computer Vision},
year = {2001},
pages = {573-580},
doi = {10.1109/ICCV.2001.10066},
url = {https://mlanthology.org/iccv/2001/lengagne2001iccv-incorporating/}
}