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 Lagrangian multipliers resulting in a linear system which uni-
fies 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.