Monocular Template-Based 3D Reconstruction of Extensible Surfaces with Local Linear Elasticity
Abstract
We propose a new approach for template-based extensible surface reconstruction from a single view. We extend the method of isometric surface reconstruction and more recent work on conformal surface reconstruction. Our approach relies on the minimization of a proposed stretching energy formalized with respect to the Poisson ratio parameter of the surface. We derive a patch-based formulation of this stretching energy by assuming local linear elasticity. This formulation unifies geometrical and mechanical constraints in a single energy term. We prevent local scale ambiguities by imposing a set of fixed boundary 3D points. We experimentally prove the sufficiency of this set of boundary points and demonstrate the effectiveness of our approach on different developable and non-developable surfaces with a wide range of extensibility.
Cite
Text
Malti et al. "Monocular Template-Based 3D Reconstruction of Extensible Surfaces with Local Linear Elasticity." Conference on Computer Vision and Pattern Recognition, 2013. doi:10.1109/CVPR.2013.200Markdown
[Malti et al. "Monocular Template-Based 3D Reconstruction of Extensible Surfaces with Local Linear Elasticity." Conference on Computer Vision and Pattern Recognition, 2013.](https://mlanthology.org/cvpr/2013/malti2013cvpr-monocular/) doi:10.1109/CVPR.2013.200BibTeX
@inproceedings{malti2013cvpr-monocular,
title = {{Monocular Template-Based 3D Reconstruction of Extensible Surfaces with Local Linear Elasticity}},
author = {Malti, Abed and Hartley, Richard and Bartoli, Adrien and Kim, Jae-Hak},
booktitle = {Conference on Computer Vision and Pattern Recognition},
year = {2013},
doi = {10.1109/CVPR.2013.200},
url = {https://mlanthology.org/cvpr/2013/malti2013cvpr-monocular/}
}