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英语翻译4.THEWAVELETTRANSFORMInthispaper,thewavelettransformisutilizedtodeterminethelocationofejectorpinsafterexecutingtheoptimizationThus,abriefdescriptionwillbegivenofthebasicsofthewavelettransforminrelationto
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英语翻译

4.THEWAVELETTRANSFORM

Inthispaper,thewavelettransformisutilizedtodeterminethelocationofejectorpinsafterexecutingtheoptimizationThus,abriefdescriptionwillbegivenofthebasicsofthewavelettransforminrelationtotheproposedproblemWavelets[11.lg]aremathematicaltoolsforhierarchicallydecomposingfunctions.WaveletsareclassifiedintotheHaarwavelet.splinewavelet.Daubechieswavelet,etc..dependinguponthebasisfunctionThesimplestformofwavelet.theHaarbasis,wasused.One-dimensionalwavelettransformswillbeexplainedfirst,anditwillbeshownhowthesetoolscanbeusedtocompresstherepresentalionofapiecewise-constantfunction.

4.1one-dimensionalHaarwavelettransform

TheHaarbasisisthesimplestwaveletbasisTobeginwith.anexaminationwillbemadeofhowaonedimensionalfunctioncanbedecomposedusingHaarwavelets.Thealgorithmwillbedescribedlater.Togiveabriefideaofhowthewaveletworks,asimpleexamplewillbeexamined.Takeaone-dimensionalimagewitharesolutionof4pixels[9735]ThisimagecanberepresentedintheHautbasisbycomputingthewavelettransformasfollowsStartbyaveraging,andthenanewtower-resolutionimageisobtainedwiththepixelvalues[84].Clearly.someinformationhasbeenlostinthisaveraginganddown-samplingprocessInordertorecovertheoriginalBurpixelvaluesfromthetwoaveragedpixels,itisnecessarytostoresomedetailcoefficientsthatcapturethatmissinginformation.Inthepresentexample,Iwillbechosenforthefirstdetailcoefficient,sincetheaveragegthatwascomputedis1

lessthan9andImorethan7.Thissinglenumbermakesitpossibleedrecoverthefirsttwopixelsofouroriginalfour-pixelimageSimilarly.theseconddetailcoefficientis-1,since4+(-1)-3and4-(-1)=5.

Summarizing.theoriginalimagehassofarbeendecomposedintoalower-resolutionversionanddetailcoefficientsasshowninFig4Thus.usingtheonedimensionalHaarbasis,thewavelettransformoftheoriginalfour-pixelimageisgivenasinFig4.

Giventhetransform,itispossibletoreconstructtheimagetoanyresolutionbyrecursivelyaddingendsubtractingthedetailcoefficientsfromthelower-resolutionver

黄金才回答:
  摘要小波变换是用来确定的位置的优化后推针执行,一个简短的描述将给予的基于小波变换的基本问题,提出了有关11.lg][m].北京:小波递阶分解作用的数学工具.小波wavelet.分为Haar样条小波函数.小波变换为基础等视功能最简单的小波.Haar的基础上,通过.一维小波变换将先说明,它将会显示这些工具可以用于压缩representalionpiecewise-constant的功能.   这是第一段!后面还没翻译出来呢!
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