Eliminating false matches for the projective registration of free-form surfaces with small translational motions

In this paper, we make a detailed study of two rigid-motion constraints. The importance of these two constraints is twofold: first, they reveal the inherent relationship between the three-dimensional-two-dimensional (3-D-2-D) point correspondences and the motion parameters of interest; second, they can be used to measure the traditional ICP criterion established point match qualities based on which different point matches can be compared and relatively good point matches can be selected for motion-parameter update in the projective registration of free-form surfaces subject to small translational motions. The experimental results based on both synthetic data and real images have shown that the rigid motion constraints are powerful in evaluating the possible 3-D-2-D point matches established by the traditional ICP criterion, thus achieving encouraging projective registration results.