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绀惧崁(q奴)闁€绂佺郴绲�(t菕ng)鐨勭洰鐨勫湪浜庝富瑕佸湪浜庤В姹哄熬闅ㄩ€插叆鐨勯潪绀惧崁(q奴)浜哄摗锛屽皪妾㈡脯鍑轰締鐨勮í瀹汉鍝¢€茶瀵﹀悕鐧昏锛屼緥琛屾鏌�銆傜郴绲�(t菕ng)閫氶亷閲囬泦绔�锛岄鍏堥噰闆嗘キ(y猫)涓讳汉鍝¤韩浠戒俊鎭拰浜鸿噳鐗瑰緛褰㈡垚璀樺垾鏁�(sh霉)鎿�(j霉)搴�锛屽啀閫氶亷閮ㄧ讲鍦ㄧぞ鍗€(q奴)澶ч杸鍙�銆侀棞閸甸亾璺矾鍙c€佹〒灞�銆侀杸寤崇瓑闂滈嵉榛炵殑鏀濆儚闋瓨鍒ラ€茶鎺掍粬鎬ф鏌�锛屽皪璀樺垾涓嶅嚭渚嗙殑浜哄摗鐧�(f膩)閫佸埌璺濋洟鏈€杩戠殑瀹変繚浜哄摗鎵嬫绲傜涓婏紝鍛婅ù浜哄摗鎵€鍦ㄤ綅缃強闈㈤儴鐗瑰緛锛屾彁绀哄畨淇濅汉鍝¢€茶鎺掓煡銆傛湰绯荤当(t菕ng)鑳藉闄嶄綆瀹変繚浜哄摗鍕炲嫊寮峰害銆佹彁楂樼ぞ鍗€(q奴)瀹変繚璀樺垾绱氬垾锛岄伩鍏嶇敱浜庝汉宸ヤ緷璩存槧鍍忔帓鏌ヨ€岄€犳垚鐨勬紡娲炪€傜郴绲�(t菕ng)鍙敤浜庡鏍�銆佺ぞ鍗€(q奴)銆佸伐寤犮€佹斂搴滄闂�銆佽睛鍏ぇ妯撱€侀啱(y墨)闄�銆佹櫙鍗€(q奴)绛夊悇椤炴帓浠栨€ф鏌ョ殑鍫村悎锛屽悓鏅傞倓鍙互瀹屾垚鑰冨嫟鐧昏銆�

鐒跺悗锛屽湪绀惧崁(q奴)浣忔埗闃茬洔闁€涓婏紝瀹夎鍩轰簬鎸囬潨鑴堣瓨鍒ョ殑闁€閹栫郴绲�(t菕ng)銆傛寚闈滆剤璀樺垾鐩告瘮鏁�(sh霉)瀛楀瘑纰兼垨鎸囩磱瀵嗙⒓鏇村姞涓斿畨鍏�锛屽彲浠ユ湁鏁堥槻姝㈤懓鍖欎笩澶便€佸瘑纰兼硠闇插強涓嶆硶鍒嗗瓙浠块€犳寚绱嬭啘绛夊晱椤�銆�

閫氶亷鍩轰簬浜鸿噳璀樺垾鐨勭ぞ鍗€(q奴)闁€绂佺郴绲�(t菕ng)鍜屽熀浜庢寚闈滆剤璀樺垾鐨勯杸閹栫郴绲�(t菕ng)鍙互鏈夋晥闃叉涓嶆硶鍒嗗瓙閫插叆绀惧崁(q奴)鍙婂涓�锛屽苟涓旀瘮浜哄伐鎺掓煡鏇村姞楂樻晥渚挎嵎銆傛湰鏂囦笅闈㈠皣鍒嗗垾灏嶄汉鑷夎瓨鍒ユ妧琛撳拰鎸囬潨鑴堣瓨鍒ユ妧琛撻€茶鎶€琛撶稖杩帮紝鐒跺悗瑭崇窗闂¤堪鏈椤岀祫鍦ㄤ汉鑷夎瓨鍒ュ拰鎸囬潨鑴堣瓨鍒ユ妧琛撲腑鎵€鍋氱殑鐩搁棞宸ヤ綔銆�

2  浜鸿噳璀樺垾

2.1浜鸿噳璀樺垾缍滆堪

浜鸿噳璀樺垾涓€鐩存槸鐢熺墿鐗瑰緛璀樺垾闋樺煙涓笉鍙垨缂虹殑涓€鐠�(hu谩n)锛岃寤f硾鐨勭爺绌跺強鎳夌敤銆傛棭鍦�20涓栫磤90骞翠唬锛岄嚌灏嶄汉鑷夎瓨鍒ョ殑鐮旂┒灏卞凡缍�(j墨ng)闁嬪娴佽璧蜂締[1]锛岀洿鍒颁粖鏃�锛屼汉鑷夎瓨鍒ョ殑鐮旂┒鎴愭灉浠嶅ぇ閲忕櫦(f膩)琛ㄥ湪钁楀悕鐨勯洔蹇楀拰鏈冭涓�锛屽苟閫愭几鎳夌敤鍒颁汉鍊戠殑鏃ュ父鐢熸椿涓�锛屽氨閫f繁鍙楀ぇ瀹跺枩鎰涚殑iPhone鎵嬫涔熸惌杓変簡浜鸿噳璀樺垾鐨勫姛鑳�銆傝€屽湪浜鸿噳璀樺垾鎶€琛撶櫦(f膩)灞曠殑鏁�(sh霉)鍗佸勾閬庣▼涓紝娑岀従(xi脿n)浜嗗ぇ閲忕殑绠楁硶锛屾垜鍊戝彲浠ユ寜绠楁硶鎬ц唱灏囧畠鍊戠啊鍠妰鍒嗙偤鍥涢[2]銆傜涓€椤�锛屾槸鏈€闁嬪娴佽璧蜂締鐨勬暣楂斿缈掔畻娉�锛屽嵆閫氶亷鏌愪簺鍒嗗竷鍋囪ō鎺ㄥ皫鍑轰綆缍〃绀�锛岃濡傝▓绠楀湒鍍忕殑绶氭€у瓙绌洪枔[3]鍙婄█鐤忚〃绀虹殑涓€浜涙柟娉昜4]绛�锛屾椤炴柟娉曞洜鐐烘湁杓冨挤鐨勫厛椹楀亣瑷�锛岃€岄€欎簺鍋囪ō鍦ㄤ笉鍚屾儏褰笅涓嶄竴瀹氶兘閬╃敤锛屾墍浠ュ皫鑷翠簡閫欓鏂规硶鐨勮瓨鍒ユ簴纰虹巼鏄渶浣庣殑銆傜浜岄鏂规硶鏄熀浜庡紩鍏ュ眬閮ㄧ壒寰佺殑绠楁硶锛屽叾涓寘鎷稉(j墨ng)鍏哥殑LBP锛堝眬閮ㄤ簩閫插埗妯″紡锛塠5]绠楁硶锛屽皣灞€閮ㄤ俊鎭€茶浜岄€插埗绶ㄧ⒓锛屽啀閫氶亷绲�(t菕ng)瑷堢洿鏂瑰湒浣滅偤鐗瑰緛瑕�(gu墨)寰�锛岄€茶浜鸿噳鐨勮瓨鍒ュ垎椤�銆備絾閫欎簺绠楁硶鐨勭己榛炴槸閫欎簺鐗瑰緛缂哄皯鐛ㄧ壒鎬у拰绶婃箠鎬э紝浠ヨ嚦浜庢椤炴柟娉曠殑璀樺垾鐜囦篃鍙湁70%宸﹀彸銆傜涓夌ó绠楁硶鏄熀浜庡眬閮ㄦ弿杩板瓙鐨勬鍣ㄥ缈掓柟娉�锛岄€氶亷瀛哥繏鐨勬柟娉�锛岃〒绶村眬閮ㄦ烤娉㈠櫒锛屽啀閫氶亷澶ч噺灞€閮ㄦ烤娉㈠櫒缍滃悎杓稿嚭璀樺垾绲愭灉銆傞€欑ó鏂规硶鍦ㄦ繁搴﹀缈掓祦琛屼箣鍓嶆浘鏄爺绌剁殑鐔遍粸锛岀洿鍒扮鍥涚ó绠楁硶锛屽嵆鍩轰簬娣卞害瀛哥繏鐨勭畻娉曟祦琛岃捣渚�銆傛繁搴﹀缈掍竴鑸寚娣卞堡鐨勭缍�(j墨ng)缍�(w菐ng)绲�锛屽闅涗笂绁炵稉(j墨ng)缍�(w菐ng)绲℃棭鍦�20涓栫磤灏卞凡缍�(j墨ng)琚彁鍑�锛岀劧鑰屽彈闄愪簬鐣舵檪鐨勮▓绠楀姏锛屼竴鐩存矑鏈夊緢濂界殑鐧�(f膩)灞�锛屼笉琚爺绌惰€呭€戠湅濂姐€傜洿鍒�2012骞碔mageNet绔惰辰锛孒inton鍦橀殜浣跨敤娣卞害绁炵稉(j墨ng)缍�(w菐ng)绲$殑鍦橀殜鍙栧緱椤憲鎴愮妇[6]锛屾繁搴︾缍�(j墨ng)缍�(w菐ng)绲℃墠琚汉鍊戦€愭几閲嶈锛屽苟鐢ㄤ簬瑷堢畻姗熻瑕虹殑鍚勭ó闋樺煙銆�2014骞�锛孌eepFace[7]鍜孌eepID[8]鍦↙FW鏁�(sh霉)鎿�(j霉)闆哰9]涓仈鍒颁簡鐣舵檪鏈€浣崇殑璀樺垾鐜囷紝骞堕娆¤秴瓒婁簡鍦ㄧ劇绱勬潫鎯呮櫙涓殑浜洪鐨勮〃鐝�(xi脿n)銆傞€欐蹇楄憲鍦ㄤ汉鑷夎瓨鍒ヤ腑锛堢劇绱勬潫鎯呮硜涓嬶級锛屾鍣ㄥ凡缍�(j墨ng)瓒呰秺浜嗕汉椤�銆傞€欑ó浠や汉鎸ギ鐨勭爺绌舵垚鏋滐紝浣垮緱鐮旂┒浜哄摗灏囦汉鑷夎瓨鍒ョ爺绌堕噸榛炶綁鍚戝熀浜庢繁搴﹀缈掔殑鏂规硶銆�

鍩轰簬娣卞害瀛哥繏鐨勪汉鑷夎瓨鍒ョ畻娉曟噳鐢ㄥ埌鏈爡鐩腑锛屼富瑕佸寘鎷互涓嬪叐鍊嬮棞閸垫妧琛擄紝鍗充汉鑷夋娓垏浜鸿噳璀樺垾銆備汉鑷夋娓湪浜庢閬稿嚭鍦栧儚鎴栬闋讳腑鐨勪汉鑷夛紝瑕佹眰妗嗛伕浣嶇疆鑸囩湡瀵︿綅缃洝鍙兘鐩稿悓锛屽苟娓涘皯闈炰汉鑷夊崁(q奴)鍩熻妗嗛伕鍑虹殑骞剧巼銆備汉鑷夎瓨鍒ユ寚姣斿皪寰呮脯瑭︿汉鑷夊拰鎻愬墠鍏ュ韩浜鸿噳鐨勭壒寰�锛屽緸鑰屽緱鍒版脯瑭︿汉鑷夎韩浠�銆備汉鑷夎瓨鍒ラ€氬父鐢ㄨ瓨鍒ョ巼鍒ゆ柗鏂规硶鐨勫劒(y艒u)鍔�锛岀郸瀹氳嫢骞插皪浜鸿噳鍦栫墖锛堜竴鍗婁締鑷悓涓€浜�锛屼竴鍗婁締鑷笉鍚屼汉锛夛紝绠楁硶闋愭脯閫欎簺鍦栫墖灏嶆槸鍚︿締鑷悓涓€浜�锛屽垽鏂锋纰虹殑鍦栫墖灏嶆暩(sh霉)鐩崰绺藉湒鐗囧皪鏁�(sh霉)鐩殑姣斾緥鍗崇偤璀樺垾鐜�銆傜洰鍓嶄富娴佺殑浜鸿噳璀樺垾绠楁硶鍩烘湰閮介噰鐢ㄦ繁搴﹀嵎绌嶇恫(w菐ng)绲℃彁鍙栦汉鑷夌壒寰�锛岄€氶亷鐗瑰緛涔嬮枔鐨勮窛闆㈠垽鏂峰湒鐗囧皪鏄惁渚嗚嚜鍚屼竴浜�銆�

2.2鍩轰簬MarginLoss鐨勪汉鑷夎瓨鍒ョ畻娉�

鍦ㄤ汉鑷夎瓨鍒ヤ腑鎶€琛撲腑锛岀壒寰佹彁鍙栫殑璩噺鐩存帴姹哄畾浜嗚瓨鍒ュ強鍒嗛鐨勬簴纰烘€с€傝€岀壒寰佹彁鍙栫殑闂滈嵉鍦ㄤ簬绱勬潫鐗瑰緛绌洪枔涓悓涓€鍊嬩汉鐨勪汉鑷夎仛闆嗗湪涓€璧�锛岃€屼笉鍚屼汉鐨勪汉鑷夎窛闆㈣純閬�锛屽緸鑰岄槻姝㈠湪鍒╃敤璺濋洟鍒ゆ柗浜鸿噳灏嶆槸鍚︿締鑷悓涓€浜烘檪鍑虹従(xi脿n)瑾ゅ垽銆傛垜鍊戣椤岀祫鎻愬嚭涓€绋柊鍨嬬殑鎳夌敤浜庝汉鑷夎瓨鍒ョ殑鎼嶅け鍑芥暩(sh霉)锛屽嵆MarginLoss[13]锛屽熀浜庣従(xi脿n)鏈夌殑缍�(w菐ng)绲$祼妲�锛岃〒绶村悗鐨勭恫(w菐ng)绲″彲浠ヤ娇浜鸿噳椤炲収闁撹窛闆㈡摯澶�锛屽緸鑰屾彁楂樿瓨鍒ョ殑婧栫⒑搴︺€�

2.2.1绠楁硶鍘熺悊

棣栧厛瑭崇窗浠嬬垂涓€涓婼oftmaxLoss鍜孋enterLoss閫欏叐鍊嬫悕澶卞嚱鏁�(sh霉)銆�

SoftmaxLoss鍦ㄥ嵎绌嶇缍�(j墨ng)缍�(w菐ng)绲′腑鏈夎憲妤靛叾寤f硾鐨勬噳鐢ㄣ€傚亣瑷湪k椤炵殑鍒嗛鍟忛涓�锛岃〒绶撮泦鐐�锛屽叾涓紝锛屽墖SoftmaxLoss鍙互瀹氱京濡備笅锛�

    锛�1锛�

鍏朵腑锛屽叾涓�鏄ā鍨嬬殑鍙冩暩(sh霉)銆係(.)琛ㄧず鎸囨鍑芥暩(sh霉)銆傚鏋淴鐐虹湡锛屽墖s(x)=1锛屽惁鍓噑(x)=0銆�

CenterLoss鏄疻en绛変汉鍦╗19]涓彁鍑虹殑锛屼竴绋垽鍒ュ紡鐗瑰緛瀛哥繏鏂规硶锛屽彲浠ユ渶灏忚姳椤炲収闁撹窛锛屽畾缇╁涓嬶細

锛�2锛�

鍏朵腑锛孋i鏄yi椤炵殑妯f湰涓績鐗瑰緛銆�

鍩轰簬SoftmaxLoss鍜孋enterLoss鎴戝€戞彁鍑轰竴鍊嬫柊鐨勬悕澶卞嚱鏁�(sh霉)锛屽嵆MarginLoss銆傛垜鍊戝笇鏈涜ō瑷堜竴鍊嬪彲浠ユ摯澶ч闁撴ǎ鏈窛闆�锛屽苟娓涘皬椤炲収妯f湰璺濋洟鐨勬悕澶卞嚱鏁�(sh霉)锛屽鍦�2鎵€绀�锛�

鍦�2Loss鏀归€插嫊姗�

鎴戝€戞悕澶卞嚱鏁�(sh霉)鐨勮ō瑷堜富瑕佽€冩叜浠ヤ笅鍥犵礌锛�

锛�1锛夊湪浜鸿噳璀樺垾鍟忛涓�锛屾瘡鍊嬫ǎ鏈噳鐩″彲鑳介潬杩戝叾涓績锛堥鍏у樊鐣版洿灏忥級骞堕仩闆㈠叾浠栭鐨勪腑蹇冿紙椤為枔璺濋洟鏇村ぇ锛�銆�

锛�2锛夊湪瑷撶反闅庢锛屾噳鎺掗櫎鍏锋湁瓒冲澶х殑椤為枔璺濋洟鎴栬冻澶犲皬鐨勯鍏ц窛闆㈢殑妯f湰銆傚惁鍓�锛岃〒绶撮亷绋嬪皣涓嶇┅(w臎n)瀹氬苟涓旀敹鏂傜珐鎱�銆傛墍浠�锛屽皪瑷撶反妯f湰閫茶閬告搰鏄嚦闂滈噸瑕佺殑銆傚洜姝�锛岀稖鍚堜互涓婂叐榛濵arginLoss瀹氱京濡備笅锛�

鐣秞i鐨勬绨界偤j鏅�锛孖ij=1锛屽惁鍓�锛孖ij=-1銆傜偤瀹氱京鐨勪綑閲�锛屽嵆Margin銆傚鏋淚ij=-1锛屽墖MarginLoss鍍呭寘鎷豢瓒�鐨剎i妯f湰銆傚鏋淚ij=1锛屽墖MarginLoss鍍呭寘鎷豢瓒�鐨剎i妯f湰銆傞€氶亷閫欑ó鏂瑰紡锛屼娇MarginLoss浣滅敤浜庤純闆h〒绶寸殑妯f湰涓�銆�

鐞嗚珫涓�锛屽湪瑷撶反閬庣▼涓涓績鎳夎┎闅ㄨ憲娣卞害鐗瑰緛璁婂寲鑰屾洿鏂帮紝鑰屼簨瀵︿笂锛屽湪鏁村€嬭〒绶撮泦閫茶瑷撶反鏅傛洿鏂伴涓績鏄笉鍒囧闅涗笖鐒℃晥鐨刐19]銆傚洜姝�锛屽湪浣跨敤MarginLoss鏅�锛屾垜鍊戦伕鎿囦娇鐢╩ini-batch閫茶椤炰腑蹇冪殑鏇存柊銆傚湪姣忔杩唬涓�锛岄涓績灏囨牴鎿�(j霉)mini-batch涓殑妯f湰鎯呮硜閫茶鏇存柊銆傝€屾洿鏂扮殑鍙冩暩(sh霉)璁婂寲鎯呮硜濡備笅锛�

  (5)

鏈€绲�锛屾垜鍊戦噰鐢ㄤ笁绋悕澶卞嚱鏁�(sh霉)閫茶鑱�(li谩n)鍚堢洠(ji膩n)鐫o細SoftmaxLoss锛孋enterLoss鍜孧arginLoss銆傛垜鍊戞悕澶卞嚱鏁�(sh霉)琛ㄧず濡備笅锛�

   锛�6锛�

鍏朵腑锛屽叆i鏄瘡闋呮悕澶卞嚱鏁�(sh霉)鐨勬瑠閲�銆傜偤浜嗚⿻浼版垜鍊戞柟娉曠殑鏈夋晥鎬�锛屾垜鍊戝皣灏嶄笁绋悕澶卞嚱鏁�(sh霉)閫茶绲勫悎锛屽緱鍑�6绋祫鍚�锛屽苟姣旇純6绋笉鍚屾悕澶卞嚱鏁�(sh霉)绲勫悎锛堣琛�2锛夛紝渚嗛璀夋垜鍊慚arginLoss鐨勬晥鏋�銆�

琛�2鎼嶅け鍑芥暩(sh霉)绲勫悎鍏烽珨鍙冩暩(sh霉)瑷疆

2.2.2绠楁硶瀵﹂灏嶆瘮鑸囩祼鏋滃垎鏋�

鎴戝€戜娇鐢↙FW[9]鍙奩TF[10]鏁�(sh霉)鎿�(j霉)搴�锛屽皣鎴戝€戠殑绠楁硶鑸囧叾浠栦富娴佺畻娉曢€茶浜鸿噳璀樺垾鐜囩殑姣旇純銆備娇鐢╓ebface[11]鍙奦GGFace[12]鏁�(sh霉)鎿�(j霉)搴紝骞朵娇鐢ㄧ浉鍚岀恫(w菐ng)绲″拰鐩稿悓鏁�(sh霉)鎿�(j霉)锛屼慨鏀规墍浣跨敤鐨勬悕澶卞嚱鏁�(sh霉)锛屾瘮杓冧汉鑷夎瓨鍒ョ巼銆傜祼鏋滃琛�3銆�

琛�3绠楁硶鑸囦富娴佺畻娉曞皪姣斿椹�

鍏朵腑锛岋紙c锛夎〃绀虹畻娉曚娇鐢ㄤ綑寮﹁窛闆㈤€茶瑷堢畻锛岋紙e锛夎〃绀轰娇鐢ㄦ瓙寮忚窛闆㈤€茶瑷堢畻銆�

琛�4鍚岀恫(w菐ng)绲′笉鍚屾悕澶卞嚱鏁�(sh霉)绠楁硶灏嶆瘮瀵﹂

鍏朵腑锛岋紙a锛夎〃绀哄湒鍍忔槸缍�(j墨ng)閬庡皪榻婅檿鐞嗙殑銆�

瀵﹂绲愭灉琛ㄦ槑锛屾垜鍊戠殑绠楁硶鍦ㄤ娇鐢ㄨ純灏戣〒绶存暩(sh霉)鎿�(j霉)锛�0.46鐧捐惉锛夊苟浣跨敤鍠€嬬恫(w菐ng)绲$殑鎯呮硜涓�锛岃垏鐩墠涓绘祦绠楁硶鐩告瘮鍏锋湁绔剁埈鍔涖€傝€岀暥鎴戝€戜娇鐢ㄧ浉鍚岀殑缍�(w菐ng)绲″拰鏁�(sh霉)鎿�(j霉)渚嗘瘮杓冧笉鍚岀殑鎼嶅け鏅�銆傚彲浠ョ櫦(f膩)鐝�(xi脿n)锛屽湪琛�3鎴戝€戠殑绠楁硶鍎�(y艒u)浜庡柈绱斾娇鐢⊿oftmaxLoss锛堜緥濡傦紝鍦↙FW涓�99.09锛呭劒(y艒u)浜�96.62锛咃級锛屽苟涓斿湪涓€瀹氱▼搴︿笂鏀瑰杽浜咰enterLoss锛堜緥濡�锛屽湪LFW涓緸98.23锛呭埌99.09锛咃級銆傚湪琛�4涓�锛屽彲浠ョ湅鍒癝+C+M锛岀浉杓冧簬S+C鍦ㄨ瓨鍒ョ巼涓婃湁涓€浜涙彁楂橈紙渚嬪锛屽湪VGGFace锛坅锛変腑寰�68.8锛呭埌72.3锛咃級銆�

3  鎸囬潨鑴堣瓨鍒�

3.1鎸囬潨鑴堣瓨鍒ョ稖杩�

鑸囧叾浠栫敓鐗╃壒寰佺浉姣�锛屽熀浜庢墜閮ㄧ壒寰佺殑璀樺垾鍏锋湁濡備笅鐨勫劒(y艒u)鍕細棣栧厛锛岀敱浜庢墜閮ㄧ壒娈婄殑妲嬮€狅紝閫欏€嬮儴浣嶆湁鐩稿皪璞愬瘜鐨勮〃闈㈢殑绱嬬悊銆佽ざ鐨�锛屼互鍙婂収閮ㄩ尟缍滃京闆滅殑琛€绠$祫鎴愶紝鐩稿皪璞愬瘜鐨勭壒寰佸彲浠ユ湁鏁堝湴闄嶄綆鐗瑰緛鎻愬彇鍜岃瓨鍒ョ殑闆e害銆傚彟澶栵紝鎵嬮儴鐨勭敓鐗╃壒寰侀倓鍏锋湁渚嬪閲囬泦闆e害灏�銆佽鐢ㄦ埗鎺ュ彈鐨勭▼搴︾浉灏嶈純楂�銆侀噰闆嗚ō鍌欑浉灏嶄綆寤�銆侀噰闆嗙殑鍦栧儚灏哄杓冨皬鏁呬究浜庤▓绠楁鐨勫瓨鍎插拰瑷堢畻绛夌瓑鐨勫劒(y艒u)鍕紝鎵€浠ュ湪鐪惧鐨勭敓鐗╃壒寰佺暥涓�锛屾墜閮ㄧ壒寰佷究寰楀埌浜嗙浉灏嶅唬娉涚殑鐮旂┒鍜屾噳鐢ㄣ€傝€屽熀浜庢寚闈滆剤鐢熺墿鐗瑰緛鐢变簬鍏跺湪閲囬泦鐨勪究鎹锋€�銆侀槻鍋芥€т互鍙婄浉灏嶅劒(y艒u)鑹殑鎬ц兘绛夋柟闈㈢殑鍎�(y艒u)鍕�锛屽緢鏃╁氨鍙楀埌浜嗗皥瀹跺拰瀛歌€呯殑寤f硾闂滄敞銆傛棭鍦�2004骞�锛屾棩鏈棩绔嬪叕鍙哥殑MiuraN銆丯agasakaA浠ュ強MiyatakeT绛変汉锛屽氨鏍规摎(j霉)杩戠磪澶栧厜涓嬬殑闈滆剤閮ㄤ綅鑸囨墜鎸囧叾瀹冮儴鍒嗙伆搴︿笂鐨勫樊鐣伴嚌灏嶉潨鑴堝湒鍍忕巼鍏堟彁鍑轰簡閲嶅京绶氭€ц窡韫ょ殑绠楁硶[27]銆傚鍦�3涓�(a)鎵€绀�锛岄€欏€嬫柟娉曚富瑕佷緷鎿�(j霉)闈滆剤浣嶇疆鑸囧叾鍏╁伌鐨勭伆搴﹀樊鐣帮紝寰炲垵濮嬬殑闅ㄦ榛炰綅缃嚭鐧�(f膩)锛岄噸寰╄窡韫ら潨鑴堢殑浣嶇疆锛岃┎绠楁硶鍏锋湁涓嶉尟鐨勮瓨鍒ョ巼鍜岀瓑瑾ょ巼锛屼笖璀夊浜嗘柟娉曠殑榄鎬с€�2007骞�锛孧iuraN绛変汉缍�(j墨ng)閬庨€蹭竴姝ョ殑鐮旂┒锛屽皣鏁�(sh霉)瀛镐笂鐨勬洸鐜囨€濇兂寮曞叆鍒颁簡闈滆剤璀樺垾鐨勭畻娉曚腑渚哰28]銆傚鍦�3涓�(b)鎵€绀�锛屼粬鍊戝埄鐢ㄩ潨鑴堟┇鏂烽潰浣嶇疆鍛堢従(xi脿n)鍑虹殑鏇茬巼灞€閮ㄦ渶澶х殑鐗归粸锛屾彁鍑轰簡鍒╃敤灞€閮ㄦ渶澶ф洸鐜囩殑鎬濇兂鎻愬彇闈滆剤涓績绶氱殑浣嶇疆鐗瑰緛锛屽緸绲愭灉涓婄湅鍙栧緱浜嗘瘮閲嶅京绶氭€ц窡韫ゆ洿濂界殑璀樺垾鐜囧拰绛夎鐜囥€�2009骞�锛屽ぉ娲ュ競淇¤櫉铏曠悊鍦嬪閲嶉粸瀵﹂瀹ょ殑妤婇噾閶掔瓑浜�锛岄€蹭竴姝ユ嫇瀵簡鍩轰簬鎸囬潨鑴堣瓨鍒ョ殑鎬濊矾锛屼粬鍊戝皣Gabor婵炬尝鍣ㄥ紩鍏ュ埌浜嗘寚闈滆剤璀樺垾鐨勯牁鍩熶腑渚�锛屾牴鎿�(j霉)涓嶅悓鐨勬寚闈滆剤浣嶇疆銆佽蛋鍚戝強瀵獎锛岃鏁存烤娉㈠櫒鍙冩暩(sh霉)锛屽鐝�(xi脿n)灏嶆烤娉㈢祼鏋滅殑鍎�(y艒u)鍖朳29]銆�2012骞�锛屽搱鐖炬勘宸ユキ(y猫)澶у鐨勫江寤烘睙绛変汉鐜囧厛灏嘢IFT鐗瑰緛寮曞叆鍒伴潨鑴堣瓨鍒ョ殑鐮旂┒鐣朵腑渚哰30]锛屽埄鐢⊿IFT鎻忚堪瀛愯壇濂界殑骞崇Щ鍜屾棆杞夌殑涓嶈畩鎬�锛屾洿濂界殑鎻愬彇鎸囬潨鑴堢壒寰併€傝€屾垜鍊戣椤岀祫锛屽熀浜庤嚜琛岄噰闆嗙殑鎸囬潨鑴堝強鎸囪儗绱嬫暩(sh霉)鎿�(j霉)搴玊HU-FV[34]锛屾彁鍑轰竴绋熀浜庝氦鍙夐粸鍔犲挤鐨勭鐖法纰兼柟娉曘€�

鍦�3骞剧ó鍏稿瀷鐨勬墜閮ㄧ壒寰侀噰闆嗚缃強閲囬泦鍦栧儚

3.2鎸囬潨鑴堣瓨鍒ョ畻娉曡ō瑷�

3.2.1闋愯檿鐞�

鍩轰簬鎸囬潨鑴堝拰鎸囪儗绱嬬殑闋愯檿鐞嗘ā濉婁富瑕佸寘鎷劅鑸堣叮鍗€(q奴)鍩燂紙RegionofInterest锛夌殑鎻愬彇锛屼篃灏辨槸鎵嬫寚浣嶇疆鐨勬彁鍙�銆佸厜鐓у拰鍦栧儚灏哄鐨勬涓€鍖栥€傝€屽皪浜庝笉鍚岀殑閲囬泦鑰呰€岃█锛屽叾鎵嬫寚鐨勫舰鐙€浠ュ強鐢辨墜鎸囩殑绮楃窗灏庤嚧鐨勫崁(q奴)鍩熺殑浜害鐨勮畩鍖栧崈宸惉鍒�銆傛湁鏁堢殑鍏嬫湇涓婅堪闆i粸锛屾槸鐗瑰緛鎻愬彇鍜屽尮閰嶈瓨鍒ュ伐浣滅殑鍩虹鍜屽墠鎻�銆�

锛�1锛夋劅鑸堣叮鐨勬墜鎸囧崁(q奴)鍩熺殑鎻愬彇

鐢变簬杩戠磪澶朙ED鍏夋簮鐨勭収灏�锛屾墜鎸囦綅缃殑浜害瑕侀珮浜庤儗鏅崁(q奴)鍩�锛屾墍浠ュ皪浜庤鎻愬彇鐨勬墜鎸囬倞绶g殑浣嶇疆锛屽彲浠ュ熀浜庢摯灞曠殑Sobel閭婄罚妾㈡脯瀛愶紝濡傚湒4鎵€绀�銆�

鍦�4鍩轰簬鎿村睍Sobel妾㈡脯瀛愮殑ROI鎻愬彇

鍦ㄥ闅涚殑ROI鎻愬彇閬庣▼涓紝鎴戝€戝皣濡傚湒4鎵€绀虹殑鎿村睍Sobel閭婄罚妾㈡脯瀛愬緸鍦栧儚鐨勪腑蹇冪窔闁嬪鍚戝叐鍋寸Щ鍕�锛岀暥鍍忕礌濉婂崁(q奴)鍩熻垏鎿村睍Sobel妯℃澘鐨勫嵎绌嶅€煎ぇ浜庨爯鍏堣ō瀹氱殑闁惧€兼檪锛屽氨瑾嶇偤鎵惧埌浜嗘墜鎸囩殑閭婄罚鍗€(q奴)鍩�銆�

锛�2锛夊昂瀵稿拰鍏夌収鐨勬涓€鍖�

鐐轰簡渚夸簬鍚庣簩(x霉)鐨勮檿鐞�锛屾垜鍊戦鍏堝皣鎻愬彇鍒扮殑鎰熻垐瓒g殑鎵嬫寚鍗€(q奴)鍩熼€茶闆欎笁娆℃彃鍊�锛屽皣鎵€鏈夊湒鍍忕殑灏哄姝镐竴鍖栬檿鐞嗙偤100*200澶у皬銆傛帴涓嬩締锛岀敱浜庝笉鍚屽湒鍍忎箣闁撻倓瀛樺湪涓嶅皬鐨勪寒搴﹀樊鐣�锛屾墍浠ラ渶瑕佸皪鍦栫墖閫茶鍏夌収寮峰害姝镐竴鍖栫殑鎿嶄綔銆傚叿楂斿寮忥紙7锛夋墍绀�銆�

锛�7锛�

鍏朵腑锛�I(i锛宩)鍜�鍒嗗垾浠h〃姝镐竴鍖栧墠鍚庣浉鎳変綅缃殑鐏板害鍊�锛宮鍜�鍒嗗垾浠h〃鍏夌収姝镐竴鍖栨搷浣滃墠鍘熷鍦栧儚鐏板害鐨勫钩鍧囧€煎拰鏂瑰樊锛宮鍜�浠h〃鍏夌収姝镐竴鍖栨搷浣滃悗鍦栧儚鐏板害鐨勫钩鍧囧€煎拰鏂瑰樊銆�

3.2.2鐗瑰緛鎻愬彇

鍦ㄥ湒鍍忚檿鐞嗗拰妯″紡璀樺垾闋樺煙涓�锛屽皪铏曠悊鐨勫湒鍍忔彁鍙栧悎閬╃殑鎻忚堪灞€э紝鍗冲湒鍍忕壒寰�锛屾槸闈炲父鏍稿績鍜岄棞閸电殑涓€姝ャ€傝€屽湪鐗瑰緛鎻愬彇鐨勯亷绋嬩腑锛屾渶閲嶈鐨勮帿閬庝簬瑕佷繚璀夋彁鍙栧嚭鐨勭壒寰佸崁(q奴)鏈夊彲鍒嗘€х殑淇℃伅锛屽幓闄ゅ寘鍚啑浣欏拰鍣伈鐨勪俊鎭�銆傜壒寰佹彁鍙栨晥鏋滅殑濂藉锛屽線寰€姹哄畾钁楀悗绾�(x霉)鍒╃敤鍒嗛鍣ㄥ垎椤炵殑鎬ц兘锛屾墍浠ラ渶瑕佺壒鍒ョ殑闂滄敞銆傚湪鐗瑰緛鎻愬彇閬庣▼涓�锛屾垜鍊戝笇鏈涘皪浜庡悓涓€鏍规墜鎸囷紝鍦ㄤ笉鍚屾鐨勯噰闆嗗悗锛堢洝绠″叾涓瓨鍦ㄨ憲鍣伈銆佸啑浣欑瓑骞叉摼锛�锛岀壒寰佹彁鍙栧彲浠ョ洝鍙兘鐨勬笡灏忓共鎿惧付渚嗙殑褰遍熆锛屼繚鎸佽純楂樼殑鐩镐技鎬с€傝€屽皪浜庝笉鍚岀殑妯f湰锛屽嵆涓嶅悓鐨勬墜鎸囷紝缍�(j墨ng)閬庣壒寰佹彁鍙栫殑姝ラ鍙互鏈€澶у寲鐨勯’绀轰粬鍊戜箣闁撶殑宸暟銆傚嵆灏嶄簬椤炲収宸暟锛屽笇鏈涜兘澶犳渶灏忓寲锛涜€屽皪浜庨闁撳樊鐣�锛屽墖甯屾湜鍙互鏈€澶у寲銆傜偤浜嗛仈鍒伴€欐ǎ鐨勭洰鐨�锛屾垜鍊戝湪閫茶鐗瑰緛鎻愬彇鐨勬搷浣滄檪锛屾噳鐩″彲鑳界殑鎻愬彇妯f湰涓嶅悓浜庡叾浣欐ǎ鏈殑鍊嬫€х壒寰�锛岃€屾渶澶у寲鐨勫幓闄や粬鍊戜箣闁撶殑鍏辨€х壒寰�锛屽緸鑰屽彲浠ユ渶澶у寲鍚庣簩(x霉)鍒嗛閬庣▼鐨勬簴纰虹巼鍜屾晥鐜�锛屾渶澶ч檺搴︾殑鎻愰珮绯荤当(t菕ng)鐨勬€ц兘銆�

鍏烽珨鐨�锛屽湪鍩轰簬鎸囬潨鑴堝拰鎸囪儗绱嬬殑鐢熺墿鐗瑰緛璀樺垾闋樺煙涓�锛岄€茶鐗瑰緛鎻愬彇绠楁硶鐨勮ō瑷堟檪锛屽ぇ鑷村彲浠ュ垎鐐哄叐椤炴柟娉曪紝鍒嗗垾鏄熀浜庣┖闁撳煙锛屼篃灏辨槸鍩轰簬鍦栧儚鍩燂紝鍜屽熀浜庤畩鎻涘煙鐨�銆傚叐椤炴柟娉曟噳瑭茶鍚勬湁鍎�(y艒u)鍔o紝鍩轰簬绌洪枔鍩熺殑鏂规硶鐩磋鏄庝簡锛岀敱浜庡湪鍦栧儚涓皪鎿嶄綔閮芥槸鍩轰簬鍍忕礌濉婄殑锛屾墍浠ョ啊鍠洿瑙€渚夸簬鐞嗚В锛屼絾鏄己闄峰湪浜庡鏄撳彈鍒板眬閮ㄦサ鍊肩殑褰遍熆锛岃€屼笖灏嶅櫔鑱蹭篃鐩稿皪鏁忔劅銆傝€屽熀浜庤畩鎻涘煙鐨勬柟娉曞墖鐩稿皪灏嶄簬灞€閮ㄦサ鍊煎拰鍣伈涓嶆晱鎰�锛屼絾鐢变簬鍏惰灏嶅師濮嬪湒鍍忛€茶璁婃彌鎿嶄綔锛屾墍浠ョ悊瑙h捣渚嗕笉鏄壒鍒ョ洿瑙€銆�

閲濆皪鎸囬潨鑴堝拰鎸囪儗绱嬬殑鐢熺墿鐗瑰緛鎻愬彇绠楁硶锛屾湁涓嶅皯灏堝鍜屽鑰呴兘閫茶浜嗛潪甯告繁鍏ュ拰绱拌嚧鐨勭爺绌躲€傚眬閮ㄤ簩鍊兼ā寮忥紙LocalBinaryPattern锛塠31]銆佸眬閮ㄦ渶澶ф洸鐜囷紙LocalMaximumCurvature锛塠32]浠ュ強Gabor绔剁埈绶ㄧ⒓锛圙aborCompetitiveCoding锛塠33]閮芥槸鍦ㄦ寚闈滆剤鐗瑰緛鎻愬彇鏅傞潪甯哥稉(j墨ng)鍏稿拰甯哥敤鐨勭畻娉曪紝鍦ㄩ€欏咕绋畻娉曚腑锛屽眬閮ㄤ簩鍊兼ā寮忓拰灞€閮ㄦ渶澶ф洸鐜囬兘鏄洿鎺ュ湪鍦栧儚鍩熶腑鐨勬搷浣�锛岃€孏abor绔剁埈绶ㄧ⒓鐨勬柟娉曟槸浣跨敤Gabor婵炬尝鍣ㄥ皪鍘熷鍦栧儚閫茶Gabor璁婃彌鍚庡湪璁婃彌鍩熶笂鐨勬搷浣�銆�

3.2.3鍩轰簬浜ゅ弶榛炲姞寮风殑绔剁埈绶ㄧ⒓鏂规硶

Gabor婵炬尝鍣ㄧ殑绔剁埈绶ㄧ⒓鐨勬柟娉曠敱浜庡彧闂滄敞骞呭€兼渶澶х殑鏂瑰悜锛屾墍浠ラ€欐ǎ鐨勬柟娉曞皪浜庡彧鍖呭惈鎸囬潨鑴堢殑鍦栧儚渚嗚鏄潪甯告湁鏁堢殑銆侴abor婵炬尝鍣ㄥ皪浜庨浼兼寚闈滆剤鐨勭伆搴﹀€艰純浣庣殑绱嬬悊鐨勯熆鎳夋槸姣旇純澶х殑锛岀劧鑰屽皪浜庣浉灏嶈純浜殑鎸囪儗绱嬩俊鎭殑闊挎噳鏈冩瘮杓冨皬锛岄偅涔堝皪浜庡熀浜庢柊鍨嬫寚闈滆剤鍜屾寚鑳岀磱鐗瑰緛鐨勬暩(sh霉)鎿�(j霉)搴玔34]锛岄€欑ó绨″柈鐨勫熀浜庢渶澶у箙鍊兼柟鍚戠殑鏂规硶鏈冨拷鐣ユ寚鑳岀磱鐨勬柟鍚戜俊鎭�銆傛墍浠�锛屾垜鍊戝熀浜庨€欐ǎ鐨勮€冩叜锛岀偤浜嗘洿鍔犳湁鏁堝湴鍒╃敤鏂板瀷澶氭ā鎱�(t脿i)鍦栧儚涓殑鎸囪儗绱嬬殑鏂瑰悜淇℃伅锛屾彁鍑轰簡鍩轰簬浜ゅ弶榛炲姞寮风殑绔剁埈绶ㄧ⒓鏂规硶?锛涱媱璐昦bor绔剁埈绶ㄧ⒓鐨勬柟娉曚腑锛岄€氬父鏈冮伕鍙�6鍊嬫柟鍚戠殑Gabor婵炬尝鍣ㄨ垏鍘熷鍦栧儚鍋氬嵎绌�锛岄伕鍙栧皪鎳夊箙鍊兼渶澶х殑鏂瑰悜浣滅偤鏈€绲傜殑绶ㄧ⒓鏂瑰悜銆傜偤浜嗘洿鍔犳湁鏁堝湴鍒╃敤骞呭€奸熆鎳夎純浣庣殑鎸囪儗绱嬬殑绱嬬悊鏂瑰悜淇℃伅锛屾垜鍊戣ō瑷堜簡濡備笅鐨勬柟娉曞皪鎸囬潨鑴堝拰鎸囪儗绱嬪叐绋舰鎱�(t脿i)鐨勭磱鐞嗕氦鍙夐粸鍋氳瓨鍒�锛屽苟灏囧叾鈥滄柟鍚戔€濈法纰肩偤7銆傝瓨鍒ョ殑鍏烽珨瑷堢畻鍏紡濡備笅锛�

   锛�8锛�

鍏朵腑锛�琛ㄧず浣跨敤6鍊嬫柟鍚戠殑Gabor婵炬尝鍣ㄥ皪鍘熷鍦栧儚铏曠悊鍚庣殑闊挎噳鐨勬渶澶у€�锛岃€�琛ㄧず闊挎噳鐨勬渶灏忓€�銆�鏄汉鐐鸿ō瀹氱殑鍙冩暩(sh霉)锛孴琛ㄧず鏈€绲傜⒑瀹氱殑闁惧€�銆傜暥鍦ㄦ煇鍊嬪儚绱犻粸锛屽叾婵炬尝绲愭灉鐨勬渶澶у€艰垏鏈€灏忓€煎彧宸ぇ浜庢闁惧€兼檪锛屼究瑾嶇偤瑭查粸鏄寚闈滆剤鍜屾寚鑳岀磱鍏╃ó绱嬬悊鐨勪氦鍙夐粸銆傞€欐ǎ鍙互鏇村姞鏈夋晥鍦板埄鐢ㄦ寚鑳岀磱鐨勭磱鐞嗕俊鎭�銆�

鍦�5鍩轰簬IGDC鐨勭壒寰佹彁鍙�

濡傚湒5鎵€绀�锛屽湒涓伆搴﹀€兼渶澶т篃灏辨槸鏈€浜殑榛炰唬琛ㄤ簡鏍规摎(j霉)寮忥紙8锛夎瓨鍒ュ嚭鐨勬寚闈滆剤鍜屾寚鑳岀磱鐨勪氦鍙夐粸锛岃€岄€欐ǎ鐨勯粸鍚屾檪鍖呭惈浜嗘寚闈滆剤鍜屾寚鑳岀磱鐨勪俊鎭�锛屾槸鏇村叿鏈夎〃寰佺壒鎬х殑銆傞’鐒讹紝灏嶉€欐ǎ鐨勯粸鍦ㄨ瓨鍒ユ檪浜堜互鏇村鐨勯棞娉ㄦ渻鏇存湁鍒╀簬娓涘皬椤炲収妯f湰涔嬮枔鐨勫樊鐣�锛岃€屽澶ч闁撴ǎ鏈箣闁撶殑宸暟銆傛墍浠ラ嚌灏嶉€欐ǎ鐨勯粸锛屾彁鍑哄皪鎳夌殑鍖归厤璀樺垾鐨勬柟娉�锛屼互閫蹭竴姝ョ殑鎻愰珮绯荤当(t菕ng)鐨勬€ц兘銆�

3.2.4鍖归厤璀樺垾

缍�(j墨ng)閬庝簡涓婃枃鎵€杩扮殑鍦栧儚鐨勯噰闆�銆侀爯铏曠悊鍜岀壒寰佹彁鍙栫殑姝ラ锛屾帴涓嬩締杓稿叆鐨勫緟璀樺垾鍦栧儚灏囪鍜屾暩(sh霉)鎿�(j霉)搴腑鐨勫湒鍍忛€茶姣斿皪锛岄€茶鏈€绲傜殑鍖归厤鍜岃瓨鍒ョ殑姝ラ銆傝ō鍏╁箙寰呭尮閰嶇殑鐗瑰緛鍦栧儚鍒嗗垾鐐篟鍜孴锛屽畠鍊戠殑澶у皬鍧囩偤m*n锛岄偅涔堝畠鍊戜箣闁撶殑鍖归厤寰楀垎S(R,T)濡傚紡锛�9锛夊拰锛�10锛夋墍绀�銆�

鍦紙9锛夊紡涓�锛孯(x,y)鍜孴(x,y)鍒嗗垾浠h〃鐗瑰緛鍦朢鍜孴浣嶄簬(x,y)铏曠殑鍊�銆倃鍜宧浠h〃瀵﹂殯鍖归厤鏅傚叐骞呯壒寰佸湒鍦▁鏂瑰悜鍜寉鏂瑰悜骞崇Щ鐨勫ぇ灏�锛岃€�(x,y)浠h〃鍖归厤绲愭灉鐨勬蹇�銆傚皪浜庝笂涓€灏忕瘈(ji茅)浠嬬垂鐨勫眬閮ㄤ簩鍊兼ā寮忥紙LBP锛�銆佸眬閮ㄦ渶澶ф洸鐜囷紙LMC锛夊拰Gabor绔剁埈绶ㄧ⒓鐨勬柟娉�锛�鈻�(x,y)鐨勮▓绠楁柟娉曞寮忥紙10锛夋墍绀恒€傝€屽皪浜庢垜鍊戞彁鍑虹殑鍩轰簬浜ゅ弶榛炲姞寮风殑绔剁埈绶ㄧ⒓鏂规硶锛岀偤浜嗙郸浜堣瓨鍒ュ嚭鐨勬寚闈滆剤鍜屾寚鑳岀磱鐨勪氦鍙夐粸浣嶇疆鏇村鐨勯棞娉�锛屾垜鍊戝皣鍖归厤鍒嗘暩(sh霉)鐨勮▓绠楁柟娉曞垎鍒ヤ慨鏀圭偤濡傚紡锛�11锛夊拰锛�12锛夋墍绀�銆�

鍦ㄥ寮忥紙12锛夋墍绀虹殑瑷堢畻鏂规硶涓�锛屾垜鍊戝皪鍖归厤鎴愬姛鐨勪氦鍙夐粸璩︿簣浜嗕竴鍊嬫洿澶х殑娆婇噸锛屽悓鏅傜偤浜嗘涓€鍖栨渶绲傝▓绠楀垎鏁�(sh霉)锛屽紡锛�11锛夌殑鍒嗘瘝璁�?y艒u)姒辫€�?锛変腑鐨�2鍊�銆傚湪瑷堢畻寰楀埌鏈€鍚庣殑瑷堢畻鍒嗘暩(sh霉)鍚庯紝鎴戝€戦噰鐢ㄦ渶杩戦劙鍒嗛鍣ㄥ皪杓稿叆鐨勬脯瑭﹀湒鍍忛€茶鍒嗛锛屽嵆閬稿彇鍦栧儚鏁�(sh霉)鎿�(j霉)搴腑鑸囦箣瑷堢畻鍑虹殑鍒嗘暩(sh霉)鏈€澶х殑妯f湰鎵€灞殑椤炰綔鐐烘渶绲傚垽鍒ヨ几鍑虹殑椤�銆�

3.2.5瀵﹂灏嶆瘮鑸囩祼鏋滃垎鏋�

鐐轰簡椹楄瓑鑸囧垎鏋愪笂鏂囦腑浠嬬垂鑸囨彁鍑虹殑绠楁硶鐨勫悎鐞嗘€у拰鏈夋晥鎬э紝鎴戝€戝湪THU-FV[34]鏁�(sh霉)鎿�(j霉)搴笂閫茶浜嗗椹�銆傚垎鍒ュ皪姣斾簡鍩轰簬灞€閮ㄤ簩鍊兼ā寮忕殑LBP[31]銆佸眬閮ㄦ渶澶ф洸鐜囩殑LMC[32]銆丟abor绔剁埈绶ㄧ⒓鐨凣CC[33]锛屽拰閲嶅京绶氳窡韫ょ殑RLT[27]鍜屾垜鍊戝皥闁€鍩轰簬鏂板瀷鎸囬潨鑴堝拰鎸囪儗绱嬪妯℃厠(t脿i)鐗瑰緛鎻愬嚭鐨勫熀浜庝氦鍙夐粸鍔犲挤鐨勭鐖法纰硷紙IGDC锛夌殑瀵﹂绲愭灉锛屽琛�5鎵€绀�

琛�5瀵﹂绲愭灉灏嶆瘮

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