1. A method for transforming an input image captured through at least one ultra wide-angle (UWA) lens, said UWA lens characterized by a corresponding transformation that maps 3D object space onto a plane that displays the input image, said method comprising: (a) obtaining the input image data captured through the at least one UWA lens; (b) constructing a 2D surface envelope that fully encompasses field of view of the at least one UWA lens; (c) constructing an envelope transformation that maps an output image plane onto the surface envelope; (d) concatenating the UWA lens map and the envelope transformation to obtain a zero-content-loss transformation; and (e) applying the zero-content-loss transformation to the input image data to obtain an output image; such that image perspective is substantially improved in the output image.