Abstract. We consider the problem of reconstructing a smooth surface under constraints that have discrete ambiguities. These problems arise in areas such as shape from texture, shape from shading, photometric stereo and shape from defocus. While the problem is computationally hard, heuristics based on semidefinite programming may reveal the shape of the surface.
For curves arranged around a principle plane, the shape might be a singular vector of ,
Parallel curves ReferencesWe revisit the problem of recovering 3D shape from a single photo containing planar curves. Previous work [1,2,3] did not explicitly explore the space of flat solutions and its orthogonal complement -For intersecting planar curves, we study the space of solutions and derive a stable linear method -For parallel planar curves, we demonstrate special cases where the shape is similarly solved -Our work unifies relevant literature on shape from contour, single view modeling and structured light
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