Abstract:
This paper gives a summary of our research on pattern regularity. Periodic structures are perceived by humans as regular in a wide range of viewing angles. This observation motivates the development of a regularity based feature vector whose ane invariance is justied theoretically and tested experimentally. The vector is derived from the interaction map of a pattern. Several alternative but closely related de nitions of the interaction map are discussed. The maximal regularity, a component of the feature vector, is shown to be consistent with human judgement on regularity. This feature can be implemented as a run lter, allowing for regularity based image ltering. Three applications of the regularity approach are presented. First, it is used for ane-invariant texture classication. Then, detection of periodic structures in aerial images is demonstrated. Finally, the texture inspection problem is addressed and structural defects are found as locations of low regularity.
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