title: Template-Based Monocular 3D Shape Recovery Using Laplacian Meshes.
abstract: 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 much better-posed problem. This allows us to quickly and reliably eliminate outliers by simply solving a linear least squares problem. This yields an initial 3D shape estimate, which is not necessarily accurate, but whose 2D projections are. The initial shape is then refined by a constrained optimization problem to output the final surface reconstruction. Our approach allows us to reduce the dimensionality of the surface reconstruction problem without sacrificing accuracy, thus allowing for real-time implementations.
authors.forename: Dat Tien
authors.initials: DT
authors.lastname: Ngo
authors.forename: Jonas
authors.initials: J
authors.lastname: Östlund
authors.forename: Pascal
authors.initials: P
authors.lastname: Fua