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Continuous Lambertian shape from shading: a primal-dual algorithm

The continuous Lambertian shape from shading is studied using a PDE approach

in terms of Hamilton–Jacobi equations. The latter will then be characterized by a maximization

problem. In this paper we show the convergence of discretization and propose to use the wellknown

Chambolle–Pock primal-dual algorithm to solve numerically the shape from shading

problem. The saddle-point structure of the problem makes the Chambolle–Pock algorithm

suitable to approximate solutions of the discretized problems.