METHOD OF GENERATING ESTIMATED INVERSE MATRIX OF REFERENCE MATRIX, METHOD OF SIMULATING FIRST PROJECTED IMAGE FROM FIRST PROJECTOR USING SECOND PROJECTED IMAGE FROM SECOND PROJECTOR, METHOD OF GENERATING PROJECTED IMAGE AND PROJECTION SYSTEM

摘要

PROBLEM TO BE SOLVED: To model light transport in complex display systems.;SOLUTION: 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 light transport matrix T₁ is captured to relate the first projector to the camera. A second light transport matrix T₂ is then captured 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 of equal size as T₂. If a column in T₂ is denoted as Tr and a corresponding column in is denoted as r, then the construction and population of is defined as r=Tr/(||Tr||)², and the inverse of T₂ is estimated as the transpose of , wherein || || in the expression represents norm symbol.;COPYRIGHT: (C)2008,JPO&INPIT