Incorporating Illumination Constraints in Deformable Models

We present a method for the integration of illumina tion constraints within a deformable model framework These constraints are incorporated as nonlinear holo nomic constraints in the Lagrange equations of motion governing the deformation of the model For improved numerical performance we employ the Baumgarte sta bilization method Our methodology is general and can be used for a broad range of illumination constraints This approach avoids commonly used approximations in shape from shading such as linearization and the use of partial di erential equations which require ini tial boundary conditions Furthermore global and lo cal parameterizations of the deformable models allow an improved estimation of shape from shading We demonstrate this improvement over previously used ap proaches through a series of experiments on standard ized sets of real and synthetic data