Deformation Invariants in Object Recognition

摘要

We study invariance to transformations having two components. The first is an arbitrary large affine transformation. This approximates a viewpoint change. The second is a small, but otherwise general, non-linear deformation. Such a deformation can arise from several sources, including change in the object itself. For instance, we want to recognize an apple even if individual apples are slightly different from each other. While there are no true invariants in this case, we show that affine invariants are quasi-invariants of these quasi-affine transformations. This is true for both global and local invariants. The method was applied to a set of real images.