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Chapter13Morphologicalimageprocessing,PracticalImageandVideoProcessingUsingMATLAB,ByOgeMarquesCopyright2011byJohnWiley01100;01100;00100;00000se1=strel(square,2)b=imdilate(a,se1)se2=strel(rectangle,12)c=imdilate(a,se2),ByOgeMarquesCopyright2011byJohnWiley01110;11100;01111;00000se1=strel(square,2)b=imerode(a,se1)se2=strel(rectangle,12)c=imerode(a,se2),ByOgeMarquesCopyright2011byJohnWileyB=bwmorph(A,skel,Inf);C=bwmorph(B,spur,Inf);D=bwmorph(A,remove);E=bwmorph(D,thicken,3);F=bwmorph(E,thin,3);,ByOgeMarquesCopyright2011byJohnWiley&Sons,Inc.Allrightsreserved.,Morphologicalalgorithms,Example13.6:,ByOgeMarquesCopyright2011byJohnWiley&Sons,Inc.Allrightsreserved.,Morphologicalalgorithms,Operationssupportedbybwmorph,ByOgeMarquesCopyright2011byJohnWiley&Sons,Inc.Allrightsreserved.,Boundaryextraction,Internal:pixelsinAthatsitattheedgeofA.External:pixelsoutsideAthatsitimmediatelynexttoA.Morphologicalgradient:combinationofinternalandexternalboundaries.InMATLAB:bwperim,ByOgeMarquesCopyright2011byJohnWiley&Sons,Inc.Allrightsreserved.,Boundaryextraction,Example13.7:,a=ones(5,12)a(1:2,1)=0a(1:2,9)=0a(4:5,5)=0b=bwperim(a,8),ByOgeMarquesCopyright2011byJohnWiley&Sons,Inc.Allrightsreserved.,Regionfilling,InMATLAB:imfill,ByOgeMarquesCopyright2011byJohnWiley&Sons,Inc.Allrightsreserved.,Regionfilling,ByOgeMarquesCopyright2011byJohnWiley&Sons,Inc.Allrightsreserved.,Extractionandlabelingofconnectedcomponents,Iterativeprocedure,similartoregionfillingInMATLAB:bwlabel,bwselect,label2rgb,ByOgeMarquesCopyright2011byJohnWiley&Sons,Inc.Allrightsreserved.,Extractionandlabelingofconnectedcomponents,ByOgeMarquesCopyright2011byJohnWiley&Sons,Inc.Allrightsreserved.,Grayscalemorphology,Manymorphologicaloperationsoriginallydevelopedforbinaryimagescanbeextendedtograyscaleimages.Themathematicalformulationofgrayscalemorphologyusesaninputimagef(x,y)andastructuringelement(SE)b(x,y).Structuringelementsingrayscalemorphologycomeintwocategories:nonflatandflat.InMATLAB:strelNonflatSEscanbecreatedwiththesamefunctionusedtocreateflatSEs,butwemustalsopassasecondmatrix(containingtheheightvalues)asaparameter.,ByOgeMarquesCopyright2011byJohnWiley&Sons,Inc.Allrightsreserved.,Grayscalemorphology,DilationThedilationofanimagef(x,y)byaflatSEb(x,y)isdefinedas:whereDbiscalledthedomainofb.ForanonflatSE,bN(x,y):,ByOgeMarquesCopyright2011byJohnWiley&Sons,Inc.Allrightsreserved.,Grayscalemorphology,ErosionTheerosionofanimagef(x,y)byaflatSEb(x,y)isdefinedas:whereDbiscalledthedomainofb.ForanonflatSE,bN(x,y):,ByOgeMarquesCopyright2011byJohnWiley&Sons,Inc.Allrightsreserved.,Grayscaleerosionanddilation,Example13.8,ByOgeMarquesCopyright2011byJohnWiley&Sons,Inc.Allrightsreserved.,Grayscalemorphology,OpeningTheopeningofanimagef(x,y)bySEb(x,y)isgivenby:ClosingTheclosingofanimagef(x,y)bySEb(x,y)isgivenby:,ByOgeMarquesCopyright2011byJohnWiley&Sons,Inc.Allrightsreserved.,Grayscaleopeningandclosing,Example13.9,ByOgeMarquesCopyright2011byJohnWiley&Sons,Inc.Allrightsreserved.,Grayscalemorphology,Top-hattransformationBottom-hattransformationInMATLAB:imtophatandimbothat,ByOgeMarquesCopyright2011byJohnWiley&Sons,Inc.Allrightsreserved.,Top-hatandbottom-hat,Example13.10,ByOgeMarquesCopyright2011byJohnWiley&Sons,Inc.Allrightsreserved.,Hands-on,Tut

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