Abstract. This paper proposes a fast method for dense 3-D interpretation to directly estimate a dense map of relative depth and motion from a monocular sequence of images on large motion fields. The NagelEnkelmann technique is employed in the variational formulation of the problem. Diffusion-reaction equations are derived from the formulation so as to approximate the dense map on large motion fields and realize an anisotropic diffusion to preserve the discontinuities of the map. By combining the ideas of implicit schemes and multigrid methods, we present a new implicit multigrid block Gauss-Seidel relaxation scheme, which dramatically reduces the computation time for solving the largescale linear system of diffusion-reaction equations. Using our method, we perform fast 3-D interpretation of image sequences with large motion fields. The efficiency and effectiveness of our method are experimentally verified with synthetic and real image sequences.