超解像度图像重构问题共轭梯度法

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1、ABSTRACTThisthesisconsistsoftwochapters.Themaincontentsareasfollows.Inchapter1,wegivesomeintroductorymaterials.Thedevelopingoftheconstructionofhigh-resolutionandsuper-resolutionimagesfrommultipleun-dersample,shifted,degradedframeswithsubpixeldisplacementisintroduced.Somerelatedsymbols,conceptionsan

2、dtheoremsaregiven.Twoiterationmethodsconjugategradient(CG)methodandpreconditionedconjugategra-dient(PCG)methodarealsointroduced.Wealsointroducesomebackgroundofthisthesis,listsomeimportantresults.InChapter2,weconsiderusingCGEmethod(i.e.CGwithearlystopcri-terion)tosolvethesuper-resolutionimagereconst

3、ructionproblem.ThePCGmethodwithcosinetransformpreconditionerisefficientforsolvingmanycasesofthesuper-resolutionimagereconstructionproblem,whileitisinefficientwhentherearetwolow-resolutionimagestakenfromsensorswithdiagonalsubpixeldisplacement(diagonalsensors).Inthisthesis,wediscusstheuseoftheCGEmethodto

4、thesuper-resolutionimagereconstructionproblem.Numericalre-sultsaregiventoshowthattheearlystopmethodisveryefficientforthecaseofdiagonalsensors.Keywords:Super-resolution;Conjugategradientmethod;Preconditionedconjugategradientmethod;Cosinetransformpreconditioner;Earlystop.2(CG)(PCG),()CGE()()23

5、CGETABLEOFCONTENTSPREFACE....................................................1CHAPTER1BasicConceptionsandBackground......11.1AnIntroductiontoImageReconstruction................11.2ConjugateGradientMethods............................21.3TheBlurringProblem...................................51.4Bo

6、undaryConditions....................................71.5CosineTransformPreconditioners.......................10CHAPTER2Super-resolutionImageReconstruction..122.1MathematicalModel....................................122.2NumericalSolutionMethods............................152.3NumericalExperiments..

7、................................192.4ConcludingRemarks....................................23EPILOGUE...................................................24REFERENCES...........................................