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Template-based Monocular 3D Recovery of Elastic Shapes using Lagrangian Multipliers

Abstract : We present in this paper an efficient template-based method for 3D recovery of elastic shapes from a fixed monocular camera. By exploiting the object's elasticity, in contrast to isometric methods that use inextensibility constraints , a large range of deformations can be handled. Our method is expressed as a saddle point problem using La-grangian multipliers resulting in a linear system which unifies both mechanical and optical constraints and integrates Dirichlet boundary conditions, whether they are fixed or free. We experimentally show that no prior knowledge on material properties is needed, which exhibit the generic usability of our method with elastic and inelastic objects with different kinds of materials. Comparisons with existing techniques are conducted on synthetic and real elastic objects with strains ranging from 25% to 130% resulting to low errors.
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Submitted on : Thursday, May 18, 2017 - 3:03:48 PM
Last modification on : Thursday, January 20, 2022 - 4:15:34 PM
Long-term archiving on: : Monday, August 21, 2017 - 12:58:53 AM


CVPR 2017 - Template-based Mon...
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  • HAL Id : hal-01524609, version 1



Nazim Haouchine, Stéphane Cotin. Template-based Monocular 3D Recovery of Elastic Shapes using Lagrangian Multipliers. Computer Vision and Pattern Recognition (CVPR), Jul 2017, Honolulu, Hawai, United States. ⟨hal-01524609⟩



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