6533b835fe1ef96bd129f712

RESEARCH PRODUCT

Real filter based on Mellin radial harmonics for scale-invariant pattern recognition.

Antonio MoyaJavier GarciaEnrique TajahuerceCarlos Ferreira

subject

Computer sciencebusiness.industryMaterials Science (miscellaneous)Pattern recognitionFunction (mathematics)Scale invarianceIndustrial and Manufacturing Engineeringsymbols.namesakeFourier transformFilter (video)HarmonicsPattern recognition (psychology)symbolsArtificial intelligenceBusiness and International ManagementbusinessFrequency modulationImpulse response

description

Several theoretical and experimental studies are developed in order to simplify the construction of filters based on Mellin radial harmonics (MRH) for scale-invariant pattern recognition. A real filter based on MRH is designed. The impulse response of the filter is a hermitic function, obtained by a suitable modification of a MRH component. This real filter has the same scale invariance as the conventional complex MRH filters, with the main advantage of its simplicity. Both computer simulations and optical experiments are presented.

10.1364/ao.33.003086https://pubmed.ncbi.nlm.nih.gov/20885672