摘要
Inthispaper,twoframeletbaseddeconvolutionalgorithmsareproposed.Thebasicideaofframeletbasedapproachistoconvertthedeconvolutionproblemtotheproblemofinpaintinginaframedomainbyconstructingaframeletsystemwithoneofthemasksbeingthegiven(discrete)convolutionkernelviatheunitaryextensionprincipleof[26],asintroducedin[6-9].Thefirstalgorithmunifiesourpreviousworksinhighresolutionimagereconstructionandinfra-redchoppedandnoddedimagerestoration,andthesecondoneisacombinationofourpreviousframe-baseddeconvolutionalgorithmandtheiterativethresholdingalgorithmgivenby[14,16].Thestrongconvergenceofthealgorithmsininfinitedimensionalsettingsisgivenbyemployingproximalforward-backwardsplitting(PFBS)method.Consequently,itunifiesiterativealgorithmsofinfiniteandfinitedimensionalsettingandsimplifiestheproofoftheconvergenceofthealgorithmsof[6].
出版日期
2010年03月13日（中国期刊网平台首次上网日期，不代表论文的发表时间）
