A method is disclosed for transforming a wide-angle video image in to a Perspective view or a Cylindrical video image with reduced distortion. The method for providing an output image in either a Cylindrical mode or a Perspective mode, and comprising steps of: (1) acquiring a wide-angle image, which is a circular projection image, which format selected from the group of full circle, rounded rectangle, and full projection; (2) using a degree of view (DOV) and a radius of a projected circular region of the wide-angle image to select an image in one of Azimuthal modes; (3) specifying a horizontal field of view range (HFOVR) and a vertical field of view range (VFOVR) as a source projection image region, which is in Azimuthal mode; (4) converting the source projection image region in Azimuthal mode into a new source projection image region in Cylindrical mode; (5) converting the new source projection image in Cylindrical mode into another source projection image in Perspective mode; and (6) generating the output image.