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Fast Normalized Cross-Correlation

Thisis an expandedversionof apaperfromVisionInterface,1995(reference [10])FastNormalizedCross-CorrelationJ. P. Lewis IndustrialLight&MagicAbstractAlthoughit iswellknownthatcrosscorrelationcanbeeffi cientlyimplementedin thetransformdomain,thenor-malizedformofc rosscorrelationpreferredforfeaturematchi ngapplicationsdoesnothave a signals(crosscorrelation)isa standardapproachtofeaturedetection[6, 7]aswellasa componentofmoresophisticatedtechniques( [3]).Textbookpresentationsofcorrelationd escribetheconvo-lutiontheoremandtheatten dantpossibilityofefficientlycomputingcor relationinthefrequency (correlationcoefficient)preferredintempl atematchingdoesnothave a correspondinglysim-pleandefficientfreque ncy ( ,[7], ).Duetothecom-putationalcostofspatialdom ainconvolution,severalin-exactbut fastspatialdomainmatchingmethodshave alsobeendeveloped[2].Thispaperdescribesa recentlyin-troducedalgorithm[10] (Section5).Sincewearepresentinga versionofa familiarandwidelyusedalgorithmnoattemptw illbemadetosur-vey theliteratureonselectionoffeatures,white ning,fastconvolutiontechniques,extension s,alternatetech-niques, 7, 13] andrecentpaperssuchas[1, 19].

This is an expanded version of a paper from Vision Interface, 1995 (reference [10]) Fast Normalized Cross-Correlation J. P. Lewis Industrial Light & Magic

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