FG Angewandte Mathematik
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- FG Angewandte Mathematik (87)
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In spite of significant advances in Shape from Shading (SfS) over the last years, it
is still a challenging task to design SfS approaches that are flexible enough to handle a
wide range of input scenes. In this paper, we address this lack of flexibility by proposing
a novel model that extends the range of possible applications. To this end, we consider
the class of modern perspective SfS models formulated via partial differential equations
(PDEs). By combining a recent spherical surface parametrisation with the advanced
non-Lambertian Oren-Nayar reflectance model, we obtain a robust approach that allows
to deal with an arbitrary position of the light source while being able to handle rough
surfaces and thus more realistic objects at the same time. To our knowledge, the resulting
model is currently the most advanced and most flexible approach in the literature on
PDE-based perspective SfS. Apart from deriving our model, we also show how the corresponding
set of sophisticated Hamilton-Jacobi equations can be efficiently solved by
a specifically tailored fast marching scheme. Experiments with medical real-world data
demonstrate that our model works in practice and that is offers the desired flexibility.