Characterizing the Stability of 3D Invariants Derived from 3D Translational Symmetry

Translational symmetry provides a powerful constraint that enables recognition of three-dimensional (3D) object s from a single view. Under ideal conditions, affine invariant s of 3D points reconstructed from corresponding points would serve as accurate indices for object recognition. In real im - ages, however, inaccurate 2D coordinates of corresponding points can lead to erroneous invariants. In this paper, we investigate the effects of such errors on the 3D invariants, and discuss some approaches to successful indexing in the presence of these errors.