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ICCV
2007
IEEE

Convex Optimization for Deformable Surface 3-D Tracking

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Convex Optimization for Deformable Surface 3-D Tracking
3?D shape recovery of non-rigid surfaces from 3?D to 2?D correspondences is an under-constrained problem that requires prior knowledge of the possible deformations. State-of-the-art solutions involve enforcing smoothness constraints that limit their applicability and prevent the recovery of sharply folding and creasing surfaces. Here, we propose a method that does not require such smoothness constraints. Instead, we represent surfaces as triangulated meshes and, assuming the pose in the first frame to be known, disallow large changes of edge orientation between consecutive frames, which is a generally applicable constraint when tracking surfaces in a 25 framesper-second video sequence. We will show that tracking under these constraints can be formulated as a Second Order Cone Programming feasibility problem. This yields a convex optimization problem with stable solutions for a wide range of surfaces with very different physical properties.
Mathieu Salzmann, Richard Hartley, Pascal Fua
Added 14 Oct 2009
Updated 14 Oct 2009
Type Conference
Year 2007
Where ICCV
Authors Mathieu Salzmann, Richard Hartley, Pascal Fua
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