I present an extension to the angle-domain decomposition of images migrated using wavefield extrapolation. Traditionally, reflectivity is described by a 1-D function of scattering angle. I show that we can further decompose the image function of other angles related to the structure and acquisition. In the 2-D case, the reflectivity is described function of two angles, while in the 3-D case the reflectivity is described function of four angles. Applications for such a multi-angle decomposition include amplitude and illumination compensation due to limited acquisition.