SYSTEM AND METHOD FOR INFERRING PROJECTIVE MAPPINGS

A system and method are provided for defining a projective mapping of quadrilaterals by specifying the images of four independent points and imposing the additional constraint that straight lines are mapped to straight lines. A barycentric coordinate system is used to represent four points in the source space and their corresponding four points in the destination space. The two barycentric coordinate systems are related by a mapping from the points in the source space to the points in the destination space such that the barycentric coordinates of all four input points map to the barycentric coordinates of their respective output points. A ratio of the associated weights is determined for each of the three basis points in the two spaces. These ratios provide a triplet that defines the mapping (transformation) in three coordinates. These three coordinates are then transformed to the 3×3 industry standard projection matrix for projective mapping.