6533b7cefe1ef96bd12578a3

RESEARCH PRODUCT

Real And Positive Filter Based On Circular Harmonic Expansion

Carlos FerreiraEnrique TajahuerceJavier Garcia

subject

business.industryMathematical analysisReal-valued functionFilter (video)Optical correlatorPattern recognition (psychology)HarmonicComputer visionArtificial intelligenceOptical filterbusinessRotation (mathematics)Linear filterMathematics

description

A real and positive filter for pattern recognition is presented. The filter, based on the circular harmonic (CH) expansion of a real function, is partially rotation invariant. As it is real and positive, the filter can be recorded on a transparency as an amplitude filter. Computer simulations of character recognition show a partial rotation invariance of about 40°. Optical experiments agree with these results and with acceptable discrimination between different characters. Nevertheless, due to experimental difficulties, the method is onerous for use in general pattern recognition problems.

https://doi.org/10.1117/12.961630