THE UNIQUE SOLUTION OF PROJECTIVE INVARIANTS OF 6 POINTS FROM 4 UNCALIBRATED IMAGES

In this paper, we show that four uncalibrated images are sufficient to uniquely determine the 3D projective invariants of a set of six point s in general position in space. An algorithm for computing the unique solution is proposed. It computes by solving a set of linear equations for its two linear independent solutions and is simpler than other al gorithms which compute the three possible solutions of 3D projective i nvariants by solving a set of nonlinear equations. However, a fourth i mage is needed to get the linear unique solution. Finally, experimenta l results have shown the feasibility of this algorithm. (C) 1997 Patte rn Recognition Society.