An image created by a first projector is recreated using a second projector by relating the two projectors to a common point of view, preferably as viewed from a camera. A first transport matrix T1 is captured to relate the first projector to the camera. A second transport matrix T2 is then capture to relate the second projector to the camera. To have a first image p1, as projected by the first projector, reproduced by the second projector, the second projector projects a distorted image defined as (T2−1)(T1)p1. The inverse of T2, as used in this equation is an estimation defined by first creating an intermediate matrix {hacek over (T)} of equal size as T2. If a column in T2 is denoted as Tr and a corresponding column in {hacek over (T)} is denoted as {hacek over (T)}r, then the construction and population of {hacek over (T)} is defined as {hacek over (T)}r=Tr/(∥Tr∥)2, and the inverse of T2 is estimated as the transpose of {hacek over (T)}.