Abstract
Projective transformation (PT) is the most general transformation in nature. However, as it is nonlinear, people haven't made great progress in the research of projective invariant. On the other hand, many researchers are confused with PT and affine transformation (AT), they used projective deformed patterns testify affine invariants without any additional explanation. This paper has thoroughly studied PT and AT. When the fixed point or fixed axis of PT is on some special positions, PT degenerates into linear form - AT. In other cases, PT can be approximated as AT under certain condition. In this paper we derived a formula of relation between them and analyzed the errors arising from this approximation. It leads a new way to recognize projective deformed patterns. Three new independent affine moment invariants composed of second- or third-order central moments are adopted for 2D and 3D target recognition. The simulation experiment reached a satisfying result.
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