A fast renderer for panoramic images is herein disclosed. In an embodiment, a precomputation is made of (a) a region on a surface defined by a first transformation from a viewport to the surface and (b) a second transformation that maps from the precomputed region to the viewport. In order to render the surface on the viewport, the renderer determines what portion of the image intersects with the precomputed region and proceeds to apply the precomputed second transformation to the portion of the image, thereby resulting in a transformed image which can be rendered in the viewport for display.