Chapter3Imageprocessing3.1Pointoperators.................................893.1.1Pixeltransforms............................913.1.2Colortransforms............................923.1.3Compositingandmatting........................923.1.4Histogramequalization.........................943.1.5Application:Tonaladjustment.....................973.2Linearfiltering.................................983.2.1Separablefiltering...........................1023.2.2Examplesoflinearfiltering.......................1033.2.3Band-passandsteerablefilters.....................1043.3Moreneighborhoodoperators..........................1083.3.1Non-linearfiltering...........................1083.3.2Morphology..............................1123.3.3Distancetransforms..........................1133.3.4Connectedcomponents.........................1153.4Fouriertransforms...............................1163.4.1Fouriertransformpairs.........................1193.4.2Two-dimensionalFouriertransforms..................1233.4.3Wienerfiltering.............................1233.4.4Application:Sharpening,blur,andnoiseremoval...........1263.5Pyramidsandwavelets.............................1273.5.1Interpolation..............................1273.5.2Decimation...............................1303.5.3Multi-resolutionrepresentations....................1323.5.4Wavelets................................1363.5.5Application:Imageblending......................1403.6Geometrictransformations...........................1433.6.1Parametrictransformations.......................1453.6.2Mesh-basedwarping..........................1493.6.3Application:Feature-basedmorphing.................1523.7Globaloptimization...............................1533.7.1Regularization.............................1543.7.2Markovrandomfields.........................1583.7.3Application:Imagerestoration.....................1693.8Additionalreading...............................1693.9Exercises....................................171R.Szeliski,