This paper presents an efficient and robust alignment algorithm for recognizing 3D objects. We first show that for features from planar surfaces which undergo linear transformations in space, there exists a class of transformations that yield projections invariant to the surface motions, up to rotations in the image field. To use this property in recognition, we propose a new alignment approach based on centroid alignment of corresponding feature groups built on these invariant projections of planar surfaces. This method uses only a single pair of 2D model and data pictures for recognizing a 3D object. Some results on natural pictures are given.
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Nagao et al. (2002) studied this question.
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