Monocular Template-Based 3D Reconstruction of Extensible Surfaces with Local Linear Elasticity

Abed Malti, Richard Hartley, Adrien Bartoli, Jae-Hak Kim; The IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2013, pp. 1522-1529

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.

Related Material


[pdf]
[bibtex]
@InProceedings{Malti_2013_CVPR,
author = {Malti, Abed and Hartley, Richard and Bartoli, Adrien and Kim, Jae-Hak},
title = {Monocular Template-Based 3D Reconstruction of Extensible Surfaces with Local Linear Elasticity},
booktitle = {The IEEE Conference on Computer Vision and Pattern Recognition (CVPR)},
month = {June},
year = {2013}
}