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VARIATION APPROACH TO INVARIANT RECOGNITION OF BINARY IMAGES
Abstract
Binary image of individual n-dimensional object is an information source for ob- ject recognition. The properties extracted from given binary image should be invariant to translation (T), scaling (S), and rotation (R) of the original pattern, object, or image, respectively. There are many possibilities how to realize TSR invariant properties of n-dimensional binary images. The translation invariance can be achieved by using n-dimensional Fourier transform and amplitude spec- trum, which is trivial. The rotation of original will cause rotation of Fourier spectrum. Thus the rotation invariance is based on envelopes, which are gener- ated by rotation of Fourier spectrum. The resulting envelopes can be rescaled to normalized forms which are TSR invariant. The recognition system uses TSR in- variant envelopes as non-linear preprocessing for proposed variation recognizer. Standard PCA technique is used as referential method. All the programs are realized in Matlab environment.
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