1、2024-8-212024-8-21第第1 1页页 2024-8-212024-8-21第第2 2页页 (4.1),u vXx yYx y,u v,x y,X x y,Y x y2024-8-212024-8-21第第3 3页页,Y x yy,u vx y,X x yx2024-8-212024-8-21第第4 4页页,x y00,xxyy0,uX x yxx0,vY x yyy00 xuxyvy(4.2)xy0 x0y2024-8-212024-8-21 第第5 5页页2024-8-212024-8-21 第第6 6页页2024-8-212024-8-21第第7 7页页 xsysxyssxy
2、ss,x y,xyss00 xysuxsvy ,xys sxy2024-8-212024-8-21第第8 8页页2024-8-212024-8-21第第9 9页页(b)(b)缩小后的图像缩小后的图像(c)(c)放大后的图像放大后的图像 2024-8-212024-8-21第第1010页页 cossinsincosuxvy 2024-8-212024-8-21第第1111页页2024-8-212024-8-21第第1212页页 2024-8-212024-8-21第第1313页页 2102101xaaauybbbv 2024-8-212024-8-21第第1414页页2024-8-212024-
3、8-21第第1515页页000cossin0sincosxysxuxsyvy 0000cossincossinsincossincosxyxyxyxysss xs yxsss xs yy 2024-8-212024-8-21第第1616页页 021021aaauxbbbvy2024-8-212024-8-21第第1717页页 2024-8-212024-8-21第第1818页页2024-8-212024-8-21第第1919页页1112132122233132331uaaaxvaaaywaaa 111213313233212223313233ua xa yauwa xa yava xa yav
4、wa xa ya2024-8-212024-8-21第第2020页页310a320a2024-8-212024-8-21第第2121页页2024-8-212024-8-21第第2222页页2024-8-212024-8-21第第2323页页2024-8-212024-8-21第第2424页页2024-8-212024-8-21第第2525页页,00,01,00,0f xfx ff2024-8-212024-8-21第第2626页页,10,11,10,1f xfx ff,0,1,0f x yf xy f xf x2024-8-212024-8-21第第2727页页11122122xxxx1112
5、212200000 xxxx2024-8-212024-8-21第第2828页页111112112424121133139931399316133114641416241641624362466441624164146412024-8-212024-8-21第第2929页页2024-8-212024-8-21第第3030页页2024-8-212024-8-21第第3131页页2024-8-212024-8-21第第3232页页2024-8-212024-8-21第第3333页页 0,1,2,1f mmN 210,01umNjNmF uf m euN 2101,01umNjNuf mF u em
6、NN2024-8-212024-8-21第第3434页页 一幅静止的数字图像可看作是二维数据阵列。一幅静止的数字图像可看作是二维数据阵列。因此，数字图像处理主要是二维数据处理。因此，数字图像处理主要是二维数据处理。2024-8-212024-8-21第第3535页页1100,expj2()MNmnumvnF u vf m nMN0,1,2,M 1v0,1,2,1uN11001,expj2()MNuvumvnf m nF u vMNMN0,1,2,M 10,1,2,1mnN2024-8-212024-8-21第第3636页页11001,expj2()NNmnumvnF u vf m nNN,0,
7、1,2,1u vN11001,expj2()NNuvumvnf m nF u vNN,0,1,2,1m nN,m n u v0,1m n u vN2024-8-212024-8-21第第3737页页,F u vR u vjI u v,R u v,I u v,F u v,ju vF u vF u ve,F u v,f m n,u v,f m n22,F u vRu vIu v,arctan,I u vu vR u v2024-8-212024-8-21第第3838页页22,P u vR u vI u v11001,exp(j2),exp(j2)NNmnumvnF u vfm nNNN,0,1,2
8、,1u vN11001,exp(j2),exp(j2)NNuvumvnf m nF u vNNN,0,1,2,1m nN2024-8-212024-8-21第第3939页页11,D DFTD DFTf m nF m vF u v 沿列沿行11,D DFTD DFTf m nF u nF u v 沿行沿列0000,exp(j2),u mv nfm nF uuvvN0000,exp(j2)u mv nfmmnnF u vN,(,N)F(,)F u vF uN vF u vuN vN2024-8-212024-8-21第第4040页页*,F u vFuv2024-8-212024-8-21第第414
9、1页页2024-8-212024-8-21第第4242页页2024-8-212024-8-21第第4343页页101(0)(),0,1,2,1NmFf m mNN102(21)()()cos,1,2,.,12NNmmuF uf muNN()Fuuu()f m2024-8-212024-8-21第第4444页页 1112(21)(0)()cos,0,1,.,12NumuFF umNNNmNf2024-8-212024-8-21第第4545页页1111111112(21)(0,0)(,0)cos22(21)(0,)cos22(21)(21)(,)cosc22,osNuNvNNuvmuFF uNNN
10、nvFvNNmunvF u vfm nNNN2024-8-212024-8-21第第4646页页(u)(A)()Ff m()(A)(u)f mF(u,v)(A)(,)(A)Ff m n(,)(A)(u,v)(A)f m nF2024-8-212024-8-21第第4747页页(,)f m n(u,v)F(A)(A)(A)2024-8-212024-8-21第第4848页页2024-8-212024-8-21第第4949页页2024-8-212024-8-21第第5050页页2024-8-212024-8-21第第5151页页2nN 11()b()01(,)(1)ininbmuig m uN,0
11、,1,1u mN()(0,1,1)f m mN111()b()001()()(1)ininNbmumiW uf mN 2024-8-212024-8-21第第5252页页111()b()00()()(1)ininNbmuuif mW u 11()b()0(,)(1)ininbmuih m u 2024-8-212024-8-21第第5353页页(,)(,0,1,1)f m n m nN2nN 111()b()()b()01(,;,)(1)iniininbmubnvig m n u vN 111()b()()b()01(,;,)(1)iniininbmubnvih m n u vN 2024-8
12、-212024-8-21第第5454页页11111()b()()b()0001(,)(,)(1)iniininNNbmubnvmniW u vf m nN 11111()b()()b()0001(,)(,)(1)iniininNNbmubnvuvif m nW u vN 1111111()b()()b()0(,;,)(,)(n,)(,)(,)(,;,)1(1)iniininbmubnvih m n u vh m u hvgm u gn vg m n u vN 2024-8-212024-8-21第第5555页页21WGfGN21fGWGN2024-8-212024-8-21第第5656页页1(
13、)b()01(,)(1)nbmuiiig m uN,0,1,1m uN2024-8-212024-8-21第第5757页页101()()01()()(1)niiiNbm bumHufmN0,1,1uN101()()0()()(1)niiiNbm buufmH u2024-8-212024-8-21第第5858页页1011()()()()001(,)(,)(1)niiiiiNNbm bubn bvmnH u vfm nN 1011()()()()001(,)(,)(1)niiiiiNNbm bubn bvuvfm nHu vN 2024-8-212024-8-21第第5959页页2NNNNNHH
14、HHH21111H224221111111111111111HHHHH2024-8-212024-8-21第第6060页页8111111110111111117111111113111111114111111111122111111116111111112111111115kH变 号 次 数2024-8-212024-8-21第第6161页页8111111110111111111111111112111111113111111111422111111115111111116111111117kW变号次数2024-8-212024-8-21第第6262页页11111111(,)11111111f
15、 m n。1442444000000000000000FW fWFHfH2024-8-212024-8-21第第6363页页2024-8-212024-8-21第第6464页页程序运行的结果如图程序运行的结果如图4.94.9所示所示。(a)(a)原始图像原始图像2024-8-212024-8-21第第6565页页2024-8-212024-8-21第第6666页页12(,)(,),(,),(,)Lf m nfm nfm nfm n(m,n)f2024-8-212024-8-21第第6767页页(,)if m nif,0,1,N 1iiiiffff,(j,0)(j,1)(j,N 1)iii ji
16、ffffif,i jf2024-8-212024-8-21第第6868页页()()TfffCEfmfm fmE ffmfC11LfiimfL1111()()LLTTTfififiiffiiCfmfmf fm mLLfm22NN2024-8-212024-8-21第第6969页页fCfC22NN2Ni0fiCIifCfCi212NibfC2N2,1,2,fiiiC bIbiN2024-8-212024-8-21第第7070页页fC2Nib2Nib22NN2222222T111121T212222T12Nbbbbbb=bbbNNNNN NbbBbbij2024-8-212024-8-21第第717
17、1页页ib2222222T111121T212222T12N=NNNNN NaaaaaaaaAaaaa220Nijijijjbab2024-8-212024-8-21第第7272页页1,0,iTijija aj当当2N()fgA fm(m)ff 2024-8-212024-8-21第第7373页页gm21gEA(-)=A E-A0gffNmEf mfmACTfA(g)(g)(A)(A)E A()()AA E()()A CTgggTffTTffTTffTfCEmmEfA mfA mfmfmfmfmAA2024-8-212024-8-21第第7474页页gCgCfC212000000gNCfCi2024-8-212024-8-21第第7575页页TffAgmkA2024-8-212024-8-21第第7676页页212TTkTkk NaaAak=A()kfgfm。kg kg2Nkff2024-8-212024-8-21第第7777页页TkkffA gmff22111NkNmsiiiiiikekA2024-8-212024-8-21第第7878页页
