For the shape from shading problem, it is known that most teal images usual
ly contain specular components and are affected by unknown reflectivity. In
this paper, these limitations are addressed and a new neural-based specula
r reflectance model is proposed. The idea of this method is to optimize a p
roper specular model by learning the parameters of a radial basis function
network and to recover the object shape by the variational approach with th
is resulting model. The obtained results are very encouraging and the perfo
rmance is demonstrated by using the synthetic and real images in the case o
f different specular effects and noisy environments.