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Unit10ImagesandTelevisionsPassageADigitalImageFundamentalsPassageBCompression/DecompressionTechniquesPassageCTelevision
PassageADigitalImageFundamentals
1.DigitalImageResolution
Adigitalimageismadeupofmanyrowsandcolumnsofpixels.Forgrayscaleimages,eachpixelisassignedanumberthatrepresentsthegrayshadeassignedtothatpixel.Thelargerthenumberofpixelsinanimage,andthelargerthenumberofavailablegrayscalelevels,thebettertheresolutionoftheimage.Figure17.1isan17-bitimages,with217=256possiblegrayscalelevels.Thenumberofrowandcolumnare303×228.Figure10.1An303×228×17DigitalImage
2.Histograms
Thegrayscalespresentinadigitalimagecanbesummarizedbyitshistogram(seeFigure17.2).Thehistogramreportsthenumberofpixelsforeachgrayscalelevelpresentintheimage,asabargraph.Whenanimageusesonlyasmallportionoftheavailablegrayscalelevels,histogramequalizationcanbeusedtospreadouttheusageofgrayscalelevelsovertheentireavailablerange[1].Thisprocedurere-assignsgrayscalelevelssothatimagecontrastisimproved.
Figure10.2AHistogram
3.AdditionandSubtractionofImages
Digitalimagescanbeaddedandsubtractedpixel-by-pixel.Addingtwoimagescancombinetwosetsofobjectsintoasingleimage.Moreover,severalnoisyimagesofthesamescenecanbeaveragedtogethertoreducetheeffectofnoise.Imagesubtraction,ontheotherhand,canbeusedtoremoveanunwantedbackgroundfromanimage.Subtractionoftwotime-lapsedphotographswillshowwheremotionhasoccurredbetweenthetwo.
Whentwoimagesareaddedorsubtracted,theresultantmatrixwillfrequentlycontainillegalgrayscalevalues.Forexample,whenapixelinone17-bitimagehasthegrayscalelevel129andthecorrespondingpixelinasecond17-bitimagehasthegrayscalelevel201,thesumpixelis129+201=330.Thisisoutsidethelegalrangeforan17-bitimage,whichmayonlycontaingrayscalelevelsbetween0and255.Whenthesametwoimagesaresubtracted,thedifferencepixelis129-201=-72,againavalueoutsidethelegalrange.
Forthesereasons,scalingfollowsmostimagearithmetic.Scalingtotherange[0,GSLmax]maybeaccomplishedasfollows:
4.WarpingandMorphing
Warpingandmorphingaredigitalimagetechniquesthatarefindingapplicationnotonlyinentertainmentbutalsoinmedicalimaging.Warpingstretchesorre-shapesanobjectinanimage,whilemorphingtransformsoneimageintoanother.Thesetransformationsmaybeaccomplishedbymarkingcontrolpoints,controllines,ortrianglesinasourceimageandchoosingtheirnewpositionsinadestinationimage.
Thetransitionbetweensourceanddestinationimagesisthenaccomplishedbysmoothlytransformingnotonlythecontrolelementlocations,butalsotheircolors.Thelocationsandcolorsofpixelsnotexplicitlymarkedascontrolelementsaredeterminedbythelocationsandcolorsofthecontrolelementsthatarenearest.
5.ImageFiltering
Digitalimagescanbefilteredusingtwo-dimensionalconvolutionwithaconvolutionkernel.WhenanN×NimageisfilteredbyanM×Mconvolutionkernel,(M-1/2)rowsandcolumnsoneachsideoftheimagearelosttoboundaryeffects.Lowpassfiltersblurimages,highpassfiltersemphasizesharpchangesingrayscalelevel,andedgefilters
locateedgesinanimage.[2]
6.DilationandErosion
Dilationaddsalayerofpixelstoallobjectsinanimage.Erosionremovesonelayerofpixelsfromallobjects.Whendilationisfollowedbyerosion,gapsinbrokenboundaries
identifiedthroughedgedetectioncanbefilledin.Conversely,whenerosionisfollowedbydilation,spotsofnoiseinanimageareremoved.
Successfullydetectingtheedgesinanimageisthefirststeptowardsconfidentidentificationofobjectboundariesandthenobjectsrecognition.Fromboundaryinformation,shapecharacteristicslikeperimeterandareacanbecalculated,whichcanbeusedtoclassifyanobject.
7.ImageSpectra
Two-dimensionalFFTsareusedtoanalyzethespectraofdigitalimages.Justasintheone-dimensionalcase,atwo-dimensionalspectrumcomprisesamagnitudespectrumandaphasespectrum.Thephasespectrumcarriesthebestinformationaboutthelocationsoftheobjectsintheimage.[3]Whenallmagnitudesaresettoone,thephasesalonestillshowafacsimileoftheoriginalimage.Whenallphasesaresettozero,themagnitudesaloneshownotraceofit.
ImagespectraformthebasisforbothCT(computedtomography)andMRI(magneticresonanceimaging)scandisplays.CTscansareX-raystakeninmanydirectionsinasingleplaneofanobject.[4]
MRIscansdependinsteadonthemagneticpropertiesofanobjectplacedinavaryingmagneticfield.Bothtypesofscanspermitnon-invasiveinvestigationsofthree-dimensionalobjects.
8.Imagecompression
InpartduetotheInternet,digitalimagesaretransmittedfromplacetoplacemore
oftenthanever.Tosavetimeandbandwidth(space),bothimagesandotherfilesareoftencompressedbeforebeingtransmitted.Losslesscompressionmeansthatafileiscompactedwithoutlosinganyinformation,sothatthereconstructedfileisidenticaltotheoriginal.[5]
Lossycompressionmeansthatsomeinformationfromtheoriginalfileisirretrievablylost,butgenerallythereconstructedfileisextremelyclosetotheoriginal.Thecompression
ratioistheratiooftheoriginalfilesizetothecompressedfilesize.
Onesimplecompressionschemeisrun-lengthencoding,whichcodesmorethanthreerepetitionsofanumberasthreecopiesofthenumberfollowedbyacountoftheadditionalcopiesneeded.AnothercompressionschemeisHuffmanencoding,whichusesshortercodestorepresentthemostcommonsignalelements,andlongercodestorepresenttheleastcommonsignalelements.
JPEG,anextremelycommonimagecompressionscheme,usesthediscretecosinetransform(DCT)toconcentratemostoftheinformationaboutan17×17sub-blockofanimageintoafewsignificantcoefficients.[6]
Itthenusesbothrun-lengthencodingandHuffmanencodingtoprovidefurthercompression.
Notes
[1]Whenanimageusesonlyasmallportionoftheavailablegrayscalelevels,histogramequalizationcanbeusedtospreadouttheusageofgrayscalelevelsovertheentireavailablerange.
当一幅图像只使用了可用灰度级的一小部分时,可以使用直方图均衡的方法将灰度级的使用扩展到整个可用的范围。
[2]Lowpassfiltersblurimages,highpassfiltersemphasizesharpchangesingrayscalelevel,andedgefilterslocateedgesinanimage.
低通滤波器使图像变得模糊,而高通滤波器突出了图像的灰度锐变,边缘滤波器则对图像边缘进行定位。
[3]Thephasespectrumcarriesthebestinformationaboutthelocationsoftheobjectsintheimage.
相位谱携带着图像中目标位置的信息。
[4]CTscansareX-raystakeninmanydirectionsinasingleplaneofanobject.
CT技术是使用X射线从不同方向对目标的某个平面进行扫描。
[5]Losslesscompressionmeansthatafileiscompactedwithoutlosinganyinformation,sothatthereconstructedfileisidenticaltotheoriginal.
无损压缩是不损失任何信息地将文件进行压缩,重建得到的文件和原文件是完全一样的。
[6]JPEG,anextremelycommonimagecompressionscheme,usesthediscretecosinetransform(DCT)toconcentratemostoftheinformationaboutan17×17sub-blockofanimageintoafewsignificantcoefficients.
JPEG是一种极其常用的图像压缩方法,该方法使用离散余弦变换将图像中17×17小块的大部分信息集中到少数几个重要系数上。
Exercises
1.PleasetranslatethefollowingphrasesintoEnglish.
(1)灰度图像(2)直方图均衡
(3)图像对比度 (4)结果矩阵
(5)边缘检测 (6)行程编码
(7)无损压缩 (8)低通滤波器
(9)哈夫曼编码 (10)数字图像压缩
2.PleasetranslatethefollowingphrasesintoChinese.
(1)edgefilter
(2)magnitudespectrum
(3)objectrecognition
(4)phasespectrum
(5)CT(ComputedTomography)
(6)MRI(MagneticResonanceImaging)
(7)DCT(DiscreteCosineTransform)
(8)highpassfilters
(9)lossycompression
3.TranslatethefollowingsentencesintoEnglish.
(1)人眼具有这样的特性:图像出现在视网膜上会保留几毫秒,然后消失。如果一个图像序列以50幅图像每秒逐行扫描显示,人们就不会觉得看到的是一幅离散的图像。所有视频系统都是利用这一原理产生运动画面的。
(2)所有压缩系统均需要两种算法:一个在信源压缩数据,一个在信宿对数据进行解压。在文献当中,这两个算法分别被称做编码算法和解码算法。
(3)JPEG(联合图像专家组)用于压缩连续色调的静止图像(例如照片)。它是ITU、ISO和IEC共同支持的图像专家开发出来的。
(4)宽高比是图像的宽度和高度之比。常规电视的宽高比是4∶3。高清晰度电视使用16∶9的宽高比。摄像机常用1.85∶1或者2.35∶1的宽高比。
(5)MPEG代表运动图像专家组,它是对数字压缩格式视听信息(如电影、录像、音乐)编码的一组标准的统称。与其他视频、音频的编码格式相比,MPEG的主要优势是相同质量下的文件要小得多。这是因为MPEG使用了非常复杂的压缩技术。
4.Answerthequestions.
(1)Whatisthefunctionofsubtractionofimages?
(2)Whatisthefunctionofwarping?
(3)Whatisdilation?
(4)Comparelosslesscompressiontolosscompression.
PassageBCompression/DecompressionTechniques
Numerousmethodshavebeendevelopedforthecompressionofdigitalimagedata.Oneoftheprincipaldriversforthisdevelopmentisthetelevisionindustrywherequalityimagedatamustbetransferredtoreceiversusingrelativelysimpleequipment.Thedevelopmentofhighdefinitiontelevisionisfurtherfocusingtheattentionofindustryanduniversityscientiststowardproblemsofdatareductionanddigitaltransmission.
Theprincipalevaluationcriteriafortheanalysisofcompressedversusuncompressedimageryiswhetherapersoncantellthedifferencebetweentheimages.AmoreimplementalmeasureistheRootMeanSquare(RMS)errorbetweentheoriginalimageandtheimagethathasbeencompressed.Compressionratesmaybegeneratedbydeterminingthesizeofthecompressedimageintermsofnumberofbitsperimagepixelfortheoriginalimage.[1]
Hereweonlyconsiderscompressionofsinglehighresolutionmulti-spectralimages.Highercompressionrateswillbeachievedinamotionsequencewhereframetoframevariationsmaybequantifiedandonlythechangesfromareferenceimageneedbecoded.
Therearetwogeneraltypesofcompression:(1)loss-less,and(2) loss.Loss-lesscompressionmeansthatyoucanachieveacertaincompressionfactorandbeabletoexactlyreproducetheoriginalimage.Losscompressionontheotherhandallowssomeloss,buthasthepotentialformuchhighercompressionrates.Nomatterwhattechniquethatyouuse,theexactrateisverydependentonthecomplexityoftheimagethatyouareanalyzing.Forexample,thenormalbestthatcanbeachievedwithloss-lessencodinginarateof2bitsperpixel.
Infact,forsomeLand-satsceneswithurbanareasandmanysmallfarms,thefactorof2bitsperpixelmaynotbeabletoachieved.ThesametechniqueappliedtoaLand-satimageofthemid-westwherelargefieldsoccurandfewshadowsexistinimagesmightproduceamuchbettercompression.
Oneloss-lesstechniqueisknownasrunlengthencoding.Thecompressionalgorithmprocesseseachlineofinputimagerylookingforregionsinwhichdatavaluesarethesame.Iftenpixelsintheoriginalimagehaveavalueof10,thenthesamedatamayberepresentedasadatavalue,10,andamultipliersayinghowmanytimesthevalueisrepeatedbeforeachangedvalue.Huffmanencodingfollowsasimilarprocess.Theseloss-lesstechniquesaregenerallycalledentropycodingtechniques,andhaveapplicationindocumentimaging,desktoppublishing,andGIS.Itshouldbenotedthatentropycodingdoesnotworkexceptionallywellintherepresentationofremotesensingimages.
Inremotesensingimageryitiswellknownthattheremaybesignificantcorrelationbetweendifferentbandsofmulti-spectraldata.Inimageprocessing,aprocedurecalledprincipalcomponentshasbeendesignedtoidentifycorrelationbetweenimagebandsandtocreateanewsetoftransformedbandsthatrepresentanewcolorspaceinwhichthenewimagebandsareuncorrelated.[2]Theprocedurealsoprovidesameasureofthepercentoftheoriginalvariationpresentintheoriginalimageasfoundineachofthenewtransformedbands.ForLand-satTMdata,threetofourofthetransformedimagesrepresent98percentofthevarianceintheoriginalimages;therefore,acompressionfactorof2wouldbeachievedwithlittleloss.
Anothertypeoftransformcodingdoesnotinvolvearotationofthecolorspace,butinsteadrepresentsimagesintermsofspatialfrequencyofcertainbasefunctions.Fouriertransformsmapanimageintoaspatialfrequencyimagebaseonsinandcosinefunctions.AfastcomputerimplementationoftheDiscreteFourierTransform(DFT)isknownasaFastFourierTransform(FFT).DiscreteCosineTransforms(DCT’s)mapthesameimagetoaspatialfrequencyimagebasedonlyonthecosinefunction.
Eachpixelmayberepresentedbyaseriesoftrigonometricfunctionsandcoefficientsderivedfromtheimages.Ifalltermsofthetransform’strigonometricfunctionsareused,compressionisminimal.Asmoretermsaredeleted,compressiongoesup,buttheresultingcompressedimagedevelopscertainartifactsoftheprocedure.
VectorQuantification(VQ)isatypeofencodingthatdefinesavectorrepresentationofnon-overlappingareablockswithinanimage.Avectorconsistsofvaluesrepresentingthedatavaluesforeachpixelwithintheregion.Usingthesevectors,clustersofvectorsarederivedusingaderivedspectraldistancemeasure.[3]Acodebookconsistingoftheclusteredvectorsisstored,representingthecharacteristicsoftheimage.Thisprocessisnumericallyintensiveandmaybeiterative.ThedecoderforVQtakesanimagevectorandcomparesittostoredvectorsinthecodebook.
Aselectionismadebasedonminimizationofadistortionfunctionbetweenthenewvectorandthecodebook.TheVQtechniquecangenerallyachievecompressionratiosofbetween20tooneand35toonewithlittleobservabledistortion.TheVQtechniqueisanexampleofasymmetriccompressioninthatconsiderablymoretimeisspentderivingthecodebookthanindecompressingviaacodebooklookup.Sincedifferentimagesmayhavedifferentcharacteristics,arobustcodebookisnecessarytosuccessfullycodeanddecodeLand-satandothersatelliteimages.AVQtechniqueusingbetweenchannelcorrelationaswellasspatialcorrelationachieveshighercompressionrateswithlosslessthanindependentbandVQ.
Thelasttypeofcompressionconsideredisfractalcompression.BasedonMandelbrotsetswhichtakeadvantageofaselfsimilar,scalingindependent,statisticalfeatureofnature,fractalcompressionanddecompressioninvolvesaclusteringapproachtofindingregionswhichexhibitthesamecharacteristicsasasampleregionwithoutregardtorotationandscale.Regionswithinanimagearerelatedtonumerousotherregionswithinthesameimage,withthisduplicationofinformationbeingthebasisofthecompressionpotential.
Fractalcompressioncanachievecompressionratiosofupto80toonewithonlymoderatelossofinformation.Thefractaltechnique,liketheVQtechniqueisalsoasymmetric.Hardwareimplementationofthedecompressionoffractalimageshasachievedreal-timerates.
NOTES
[1] Compressionratesmaybegeneratedbydeterminingthesizeofthecompressedimageintermsofnumberofbitsperimagepixelfortheoriginalimage.
压缩比可以通过原始图像每像素所需压缩的比特数来确定。
·intermsof…意为“根据…”。
[2] Inimageprocessing,aprocedurecalledprincipalcomponentshasbeendesignedtoidentifycorrelationbetweenimagebandsandtocreateanewsetoftransformedbandsthatrepresentanewcolorspaceinwhichthenewimagebandsareuncorrelated.
在图像处理过程中,一个称为主分量的过程被设计用以确认图像频谱之间的相关性,并产生一组新的变换频谱,其中新图像频谱互不相关地表示一个新的彩色空间。
·that引导定语从句修饰bands。inwhich引导定语从句修饰space。
[3] Usingthesevectors,clustersofvectorsarederivedusingaderivedspectraldistancemeasure.
使用这些矢量,用一个导出的频谱距离可推导出矢量簇。
·第二个using相当于byusing。
EXERCISES
1. True/False.
(1) Loss-lessandlossaretwogeneraltypesofcompression.()
(2) Nomatterwhattechniquethatyouuse,theexactcompressionrateisnotverydependentonthecomplexityoftheimagethatyouareanalyzing.()
(3) ThedecoderforVQtakesanimagevectorandcomparesittostoredvectorsinthecodebook.()
2.Fillintheblanks.
(1) Loss-lesscompressionmeansthatyoucanachieveacertain
andbeabletoexactlyreproducetheoriginalimage.
(2)AfastcomputerimplementationoftheDiscreteFourierTransformisknownasa
.
(3)VectorQuantification(VQ)isatypeofencodingthatdefinesa
ofnon-overlappingareablockswithinanimage.
(4) Thefractaltechnique,liketheVQtechniqueisalso
.
(5)
compressioncanachievecompressionradiosofupto80toonewithonlymoderatelossofinformation.
3. Chosethebestanswer.
(1) Whatkindofcompressionalgorithmprocesseseachlineinputimagerylookingforregionsinwhichdatavaluesarethesame?
a.runlengthencoding b.VectorQuantification
c.fractalcompression
(2) Whichtypeofcompressiontakeadvantageofaselfsimilar,scalingindependentandstatisticalfeatureofnature?
a.runlengthencoding b.VectorQuantification
c.fractalcompression
PassageCTelevision
Atelevisionpictureisbuiltupgraduallybymovingaspotoflightacrossanddownascreeninarasterpattern.
Thevideosignalcausesthebrightnessofthespottovaryinproportiontotheintensityoflightintheoriginalimage.Themovementofthespotacrossthescreeniscontrolledbythelinescansignal.Eachtimethespotreachestherightsideofthescreen,itisblankedandmovedrapidlybacktotheleftsidereadytostartthenextline.Thisrapidmovementbacktoastartingpositionisknownasfly-back.Eachcompleteimageorframerequiresaminimumof500linestogiveapictureofacceptablequality.ThepresentEuropeanTVsystemuses625linesperframe.
Themovementofthespotdownthescreeniscontrolledbythefieldscansignal.Whenthespotreachesthebottomofthescreen,itisblankedandmovedrapidlybacktothetopofthescreen.Theframemustbescannedatleastfortytimespersecondtopreventthescreenfromflickering.ThepresentEuropeanTVsystemhasaframescanrateof50 Hz.
ThevideosignalcontainslineandfieldsyncpulsestomakesurethattheTVreceiverstartsanewlineandanewframeatthesametimeastheTVcamera.
Toallowthevideosignaltobetransmittedusingasmallerrangeoffrequencies,eachframeistransmittedintwoseparatehalves,knownasfields.Thefirsttimethespottravelsdownthescreenitdisplaysthefirstfield,whichconsistsoftheodd-numberedframelines.Thesecondtimethespottravelsdownthescreenitdisplaysthesec
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