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We show that by extending the Laplacian formalism, which was first introduced in the Graphics community to regularize 3D meshes, we can turn the monocular 3D shape reconstruction of a deformable surface given correspondences with a reference image into a well-posed problem. Furthermore, this does not require any training data and eliminates the need to pre-align the reference shape with the one to be reconstructed, as was done in earlier methods.

Laplacian Meshes for Monocular 3D Shape Recovery