基于压缩感知的图像重构算法研究.pdf

《基于压缩感知的图像重构算法研究.pdf》由会员上传分享，免费在线阅读，更多相关内容在工程资料-天天文库。

1、ԙਭᆜਭ࠼㊱ਭ71717171ᇼ㓝ޢᔶ从从从(ѣѣѣȽѣȽȽȽ㤧ᮽ㤧ᮽ)ⴤⴤⴤสҾ঻㕙ᝏ⸕Ⲵമۿ䟽ᶴ㇇⌅⹄ウTheResearchofImageReconstructAlgorithmBasedonCompressedSensing֌㘵ဃ਽⦻Ცភᤷሬᮉᐸဃ਽ᤷሬᮉ

2、ᐸဃ਽ᤷሬᮉᐸဃ਽ǃᤷሬᮉᐸဃ਽ǃǃǃ㙼〠㙼〠⭠⦹᭿ᮉᦸᆖ、䰘㊫ᐕᆖᆖ、ᆖ、ǃᆖ、ǃǃǃуъуъ䇑㇇ᵪ㌫㔏㔃ᶴᨀӔ䇪᮷ᰕᵏҼҼҼҼƻƻƻƻааааҼҼҼҼᒤᒤᒤᒤааааᴸᴸᴸᴸ㾵ᆿ⭫ᆆ〇ᢶཝᆜᆜփ䇰ᮽࡑ᯦ᙝ༦᱄⿹᢯ᆖṑѕ䉘Ⲵᆖ仾઼Ո㢟Ⲵ、ᆖ䚃ᗧˈᵜӪ༠᰾ᡰ੸ӔⲴ䇪᮷ᱟᡁњӪ൘ሬᐸᤷሬл䘋㹼Ⲵ⹄ウᐕ֌৺ਆᗇⲴ⹄ウᡀ᷌DŽቭᡁᡰ⸕ˈ䲔Ҷ᮷ѝ⢩࡛࣐ԕḷ⌘઼㠤䉒ѝᡰ㖇ࡇⲴ޵ᇩԕཆˈ䇪᮷ѝнवਜ਼ަԆӪᐢ㓿ਁ㺘ᡆ᫠߉䗷Ⲵ⹄ウᡀ᷌˗ҏнवਜ਼Ѫ㧧ᗇ㾯ᆹ⭥ᆀ、ᢰབྷᆖᡆަᆳᮉ㛢ᵪᶴⲴᆖսᡆ䇱Җ㘼⭘䗷ⲴᶀᯉDŽоᡁа਼ᐕ֌Ⲵ਼ᘇሩ

3、ᵜ⹄ウᡰڊⲴԫօ䍑⥞൷ᐢ൘䇪᮷ѝڊҶ᰾⺞Ⲵ䈤᰾ᒦ㺘⽪Ҷ䉒᜿DŽ⭣䈧ᆖս䇪᮷о䍴ᯉ㤕ᴹнᇎѻ༴ˈᵜӪ᢯ᣵа࠷Ⲵ⌅ᖻ䍓ԫDŽᵜӪㆮ਽˖ᰕᵏ㾵ᆿ⭫ᆆ〇ᢶཝᆜީӄ䇰ᮽ⭞ᦾᵹⲺ䈪᱄ᵜӪᆼޘҶ䀓㾯ᆹ⭥ᆀ、ᢰབྷᆖᴹޣ؍⮉઼⭘ᆖս䇪᮷Ⲵ㿴ᇊˈণ˖⹄ウ⭏൘ṑ᭫䈫ᆖսᵏ䰤䇪᮷ᐕ֌Ⲵ⸕䇶ӗᵳঅս኎㾯ᆹ⭥ᆀ、ᢰབྷᆖDŽᆖṑᴹᵳ؍⮉䘱Ӕ䇪᮷Ⲵ༽ঠԦˈ䇨ḕ䰵઼ُ䰵䇪᮷˗ᆖṑਟԕޜᐳ䇪᮷Ⲵޘ䜘ᡆ䜘࠶޵ᇩˈਟԕ䇨䟷⭘ᖡঠǃ㕙ঠᡆަᆳ༽ࡦ᡻⇥؍ᆈ䇪᮷DŽ਼ᰦᵜӪ؍䇱ˈ∅ъਾ㔃ਸᆖս䇪᮷⹄ウ䈮仈޽᫠߉Ⲵ᮷ㄐаᖻ㖢਽অսѪ㾯ᆹ⭥ᆀ、ᢰབྷᆖDŽ(؍ᇶⲴ䇪᮷൘䀓ᇶਾ䚥ᆸ↔㿴ᇊ)ᵜᆖս䇪᮷኎Ҿ؍ᇶˈ൘ᒤ䀓ᇶਾ䘲⭘ᵜᦸᵳҖDŽᵜӪㆮ਽˖ᰕ

4、ᵏሬᐸㆮ਽˖ᰕᵏ᪎㾷ཊᒤᶕˈᤷሬؑਧ䟷ṧⲴ⨶䇪ส⹰аⴤᱟ㪇਽Ⲵླྀཾᯟ⢩˄Nyquist˅䟷ṧᇊ⨶DŽᇊ⨶㾱≲ؑਧⲴ䟷ṧ⦷нᗇվҾؑਧᴰབྷ仁⦷Ⲵєˈ䘉㔉㌫㔏Ⲵ༴⨶㜭࣋ᑖᶕҶᖸ儈Ⲵ㾱≲ˈ㔉⴨ᓄⲴ޵ཆ䜘⺜Ԧ䇮༷ᑖᶕҶᶱབྷൠ᥁ᡈDŽ঻㕙ᝏ⸕⨶䇪㔉ࠪҶа⿽ޘᯠⲴᯩ⌅ˈ࡙⭘ؑਧਟ〰⮿㺘⽪Ⲵ傼⸕䇶ˈӾᖸቁⲴ㿲⍻٬ѝ䟽ᶴ৏࿻ؑਧDŽᵜ᮷俆䱀䘠Ҷ঻㕙ᝏ⸕⨶䇪ⲴสᵜṶᷦˈሩҼ㔤മۿⲴ〰⮿࠶䀓ǃ㿲⍻⸙䱥઼ؑਧ䟽ᶴㅹᯩ䶒䘋㹼Ҷ␡ޕ᧒䇘ˈ൘↔ส⹰кˈ⹄ウҶᖃࡽࠐ⿽঻㕙ᝏ⸕㇇⌅ˈᒦ䪸ሩަѝᆈ൘ⲴаӋ㕪⛩ˈᨀࠪҶє⿽㹼ѻᴹ᭸Ⲵ঻㕙ᝏ⸕䟽ᶴ㇇⌅DŽ䪸ሩ࠶ඇ঻㕙ᝏ⸕䘝ԓᣅᖡ㇇⌅ࠪ⧠䗷ᒣ━ԕ৺䟽ᶴᰦ䰤䗷䮯ㅹ䰞仈ˈᕅޕҶ䟽ਐ㿲⍻⸙

5、䱥䇮䇑ˈᒦ㔉ࠪҶ㠚䘲ᓄⲴᣅᖡ䘝ԓᯩ⌅ˈᨀࠪҶสҾᘛ䙏ᣅᖡLandweber䘝ԓⲴ঻㕙ᝏ⸕䟽ᶴ㇇⌅ˈф൘ᇎ傼䗷〻ѝˈ␡ޕ䇘䇪Ҷ䟽ਐ↕䮯৲ᮠሩ㇇⌅Ⲵᖡ૽ˈᇎ傼㔃᷌㺘᰾ˈ䈕㇇⌅൘䟽ᶴ䍘䟿઼䘀㹼ᰦ䰤єᯩ䶒䜭㺘⧠ࠪ㢟ྭᙗ㜭DŽ䪸ሩ↓Ӕ३䝽䘭䑚㇇⌅䴰ᨀ׋ᴤཊ㿲⍻٬᡽㜭ᴹ᭸䟽ᶴⲴ䰞仈ˈᕅޕҶṩᦞമۿඇ㠚䓛ؑ᚟㠚䘲ᓄ⺞ᇊ㿲⍻ᮠⴞⲴ㿲⍻⸙䱥䇮䇑ᯩ⌅ˈ਼ᰦѪ㇇⌅ᴹᴤᕪⲴ〰⮿㺘⽪㜭࣋ˈᓄ⭘ҶK-SVDᆇި䇝㓳ᯩ⌅㧧ਆ〰⮿ᆇިˈᨀࠪҶสҾ߇։ᆇިⲴ㠚䘲ᓄ㿲⍻ᮠⴞ↓Ӕ३䝽䘭䑚㇇⌅DŽᇎ傼㔃᷌傼䇱ˈ䈕㇇⌅нӵᖸྭⲴ䀓ߣҶվ㿲⍻ᮠлⲴ䟽ᶴ䰞仈ˈ㘼фമۿ䟽ᶴ䍘䟿㢟ྭDŽީ䭤䈃ީ䭤䈃φީ䭤䈃φφφু㕟᝕⸛ু㕟᝕⸛〶⯅㕌⸷ᘡ䙕

6、ᣋᖧLandweber䘣ԙ⌋↙Ӛ९䞃䘳↙Ӛ९䞃䘳䑠↙Ӛ९䞃䘳䑠䑠䑠AbstractFormanyyears,thetheoreticalbasistoguidethesamplingsignalhasalwaysbeenthewell-knownNyquistsamplingtheorem.Thetheoremrequiresthatthesignalsamplingrateshouldnotbelessthantwicethemaximumfrequencyofthesignal,whichbringshighrequirementstothesystemprocessingabil

7、ityandsignificantchallengestothecorrespondinginternalandexternalhardware.Compressedsensing(CS)theorygivesanewapproachtoreconstructoriginalsignalsfromafewobservationvalues,withtheprioriknowledgethatthesignalhasthesparserepres