限制角圖像重建的Landweber迭代算法及其實(shí)現(xiàn)研究.pdf

1、北京交通大學(xué)碩士學(xué)位論文限制角圖像重建的Lweber迭代算法及其實(shí)現(xiàn)研究姓名：顧興勇申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：計(jì)算數(shù)學(xué)指導(dǎo)教師：渠剛榮20090601j量塞鑾適太堂亟堂位論塞△旦墨!B△￡!ABSTRACTABSTRACT：TheLandweberschemeiSartalgebraicreconstructionmethodandincludesseveralimportantalgorithmsasitsspecialcasesThe

2、convergenceofthetheLandweberschemeisofboththeoreticalandpracticalimportanceAgeneraliterativeschemeforangle—limitedimagereconstructionbasedonLandweber’Smethodwasintroducedanditsconvergenceconditionswereestablished[2】Inthi

3、sthesis，westudythealgorithmimplementsandrelaxationstrategies，andshowtheefficiencyofthisalgorithmthroughthenumericalsimulationTheproblemofangle—limitedimagereconstructionbelongstoincompletedataItisfarrangingusedinareaswhi

4、chincludemedicaltomographyseismictomographyradioastronomyelectronmicroscopyandSOonThisproblemmainlydiscussestheangle0，0≤0≤00萬ofRadontransformRf(p，0)=If(pcosOssinO，psinOscosO)dsInthispartwemakeastudyofangle—limitedimagere

5、constructionwetransferthisproblemintobandlimitedfunctionextrapolation，andgivetheLandweberiterativemethodsforangle—limitedimagereconstructionWechoosedifferentrelaxationcoefficients，fromthenumericalsimulation，weshowtheeffi

6、ciencyofthisalgorithmThisarticle’SmaintaskistoimplementthealgorithmstudyoftheLandweberiterativeschemeforanglelimitedimagereconstructionwhichbasedontheworkin[2]WestudytherelaxationstrategiesfromthenumericalsimulationWecho

7、osedifferentrelaxationcoefficient丸andtheangle00，fromthenumericalsimulation，wehavetheconclusionthatwhen以closeto1，theefficiencyofimagereconstructionisthebestAtthesametimeastheangle00increases，thereconstructionoftheimagegra