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ECCV
2008
Springer

Closed-Form Solution to Non-rigid 3D Surface Registration

10 years 1 months ago
Closed-Form Solution to Non-rigid 3D Surface Registration
Abstract. We present a closed-form solution to the problem of recovering the 3D shape of a non-rigid inelastic surface from 3D-to-2D correspondences. This lets us detect and reconstruct such a surface by matching individual images against a reference configuration, which is in contrast to all existing approaches that require initial shape estimates and track deformations from image to image. We represent the surface as a mesh, and write the constraints provided by the correspondences as a linear system whose solution we express as a weighted sum of eigenvectors. Obtaining the weights then amounts to solving a set of quadratic equations accounting for inextensibility constraints between neighboring mesh vertices. Since available closed-form solutions to quadratic systems fail when there are too many variables, we reduce the number of unknowns by expressing the deformations as a linear combination of modes. The overall closed-form solution then becomes tractable even for complex deformat...
Mathieu Salzmann, Francesc Moreno-Noguer, Vincent
Added 15 Oct 2009
Updated 15 Oct 2009
Type Conference
Year 2008
Where ECCV
Authors Mathieu Salzmann, Francesc Moreno-Noguer, Vincent Lepetit, Pascal Fua
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