Shape from Planar Curves: A Linear Escape from Flatland

 
Overview
 
We revisit the problem of recovering 3D shape from the projection of planar curves on a surface. This problem is strongly motivated by perception studies. Applications include single-view modeling and fully uncalibrated struc- tured light. When the curves intersect, the problem leads to a linear system for which a direct least-squares method is sensitive to noise. We derive a more stable solution and show examples where the same method produces plausible surfaces from the projection of parallel (non-intersecting) planar cross sections.
 
People
 
Allan D. Jepson (University of Toronto)
Kiriakos N. Kutulakos (University of Toronto)
Ady Ecker (University of Toronto)
 
Related Publications
 
Ady Ecker, Kiriakos N. Kutulakos and Allan D. Jepson, Shape from Planar Curves: A Linear Escape from Flatland. Proc. Computer Vision and Pattern Recognition Conf., Minneapolis, MN, 2007.   PDF (885KB)    IEEEXplore entry
 
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