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基于Hough变换的直线和圆提取方法.docx

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基于Hough变换的直线和圆提取方法 Introduction: HoughTransform,namedafterPaulHough,isapowerfulimageprocessingtechniquethatisextensivelyusedforthedetectionofshapesinimages.TheHoughtransformisparticularlyusefulwhenseekingtoidentifythegeometricshapesthatarepresentinanimage,suchaslinesandcircles.TheprocessofHoughTransforminvolvesfindingthesetofparametersthatdescribeaspecificshapeintheimage,andthenusingtheseparameterstodetecttheshape.Inthispaper,wewillstudytheHoughTransformtechniqueforlineandcircledetection. HoughTransformforLineDetection: TheHoughTransformforlinedetectionisusedwhenwewanttodetectstraightlinesinanimage.TheprocessinvolvesapplyingtheHoughTransformtotheimage,whichthengeneratesaHoughSpace.TheHoughSpaceisaparameterspacewhereeachpointrepresentsapossibleline.EachpointintheHoughSpacecorrespondstoalineintheimage.TheHoughSpaceisrepresentedbytwoparameters,theslopeandthey-interceptoftheline. TheprocessofgeneratingtheHoughSpaceinvolvesiteratingthrougheverypixelintheimageandanalyzingitforthepresenceofaline.Ifapixelexistsonaline,thenapointisgeneratedintheHoughSpacethatcorrespondstothatline.TheHoughSpaceisthenanalyzedtodeterminethelinesthatexistintheimage. TheHoughTransformforlinedetectioncanbeusedinavarietyofapplications,suchasedgedetection,shaperecognition,contourdetection,andmore.TheHoughTransformisparticularlyusefulinsituationswherewewanttodetectlinesthatarenotnecessarilystraight. HoughTransformforCircleDetection: TheHoughTransformforcircledetectionisusedwhenwewanttodetectcirclesinanimage.TheprocessinvolvesapplyingtheHoughTransformtotheimage,whichthengeneratesaHoughspaceforcircles.TheHoughSpaceisaparameterspacewhereeachpointrepresentsapossiblecircle.EachpointintheHoughSpacecorrespondstoacircleintheimage.TheHoughSpaceisrepresentedbythreeparameters,thecentercoordinates(xandy)andtheradiusofthecircle. TheprocessofgeneratingtheHoughSpaceinvolvesiteratingthrougheverypixelintheimageandanalyzingitforthepresenceofacircle.Ifapixelexistsonacircle,thenapointisgeneratedintheHoughSpacethatcorres