Optimal affine-invariant point matching

Application of the affine-invariant point-matching scheme proposed by R. Hummel and H. Wolfson (1988) to the problem of recognizing and determining the pose of sheet metal parts is discussed. Attention is given to errors that can occur with this method due to quantization, stability, symmetry, and noise problems. These errors make the original affine-invariant matching technique unsuitable for use on the factory floor. An explicit noise model, which the Hummel and Wolfson technique lacks, is used. An optimal approach which overcomes these problems is then derived. The performance of the proposed algorithm under the influence of several distorting parameters is evaluated