Recovering three-dimensional shape from a single image of curvedobjects
Malik, J.; Maydan, D.
Pattern Analysis and Machine Intelligence, IEEE Transactions on
Volume 11, Issue 6, Jun 1989 Page(s):555 - 566
Digital Object Identifier 10.1109/34.24791
Summary:An algorithm to recover three-dimensional shape, i.e., surface
orientation and relative depth from a single segmented image is
presented. It is assumed that the scene is composed of opaque regular
solid objects bounded by piecewise smooth surfaces with no markings or
textures. It is also assumed that the reflectance map R(n
) is known. For the canonical case of Lambertian surfaces
illuminated by a point light source, this implies knowing the
light-source direction. A variational formulation of line drawing and
shading constraints in a common framework is developed. The global
constraints are partitioned into constraint sets corresponding to the
faces, edges and vertices in the scene. For a face, the constraints are
given by Horn's image irradiance equation. A variational formulation of
the constraints at an edge both from the known direction of the image
curve corresponding to the edge and shading is developed. At a vertex,
the constraints are modeled by a system of nonlinear equations. An
algorithm is presented to solve this system of constraints
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