In this paper we propose a solution for view synthesis of scenes presenting highly non-Lambertian objects. While Image- Based Rendering methods can easily render diffuse materials given only their depth, non-Lambertian objects present non-linear displacements of their features, characterized by curved lines in epipolar plane images. Hence, we propose to replace the depth maps used for rendering new viewpoints by a more complex “non- Lambertian map” describing the light field?s behavior. In a 4D light field, diffuse features are linearly displaced following their disparity, but non-Lambertian feature can follow any trajectory and need to be approximated by non-Lambertian maps. We compute those maps from nine input images using Bezier or polynomial interpolation. After the map computation, a classical Image- Based Rendering method is applied to warp the input images to novel viewpoints.