Abstract
A method for recovering shape from shading that solves directly
for the surface height is presented. By using a discrete formulation of
the problem, it is possible to achieve good convergence behavior by
employing numerical solution techniques more powerful than gradient
descent methods derived from variational calculus. Because this method
solves directly for height, it avoids the problem of finding an
integrable surface maximally consistent with surface orientation.
Furthermore, since additional constraints are not needed to make the
problem well posed, a smoothness constraint is used only to drive the
system towards a good solution; the weight of the smoothness term is
eventually reduced to near zero. By solving directly for height, stereo
processing may be used to provide initial and boundary conditions. The
shape from shading technique, as well as its relation to stereo, is
demonstrated on both synthetic and real imagery
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