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73)BSEXBSF

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2 1BQFS*OGPSNBUJPO )JHI3FTPMVUJPO¬UFOEVF&YQBOTJPOGPS)PMPHSBQIJD %JTQMBZT (SBDF,VP -BVSB8BMMFS 3FO/H "OESFX.BJNPOF 'BDFCPPL3FBMJUZ-BCT 6OJWFSTJUZPG$BMJGPSOJB #FSLFMFZ

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3 • /FBS&ZF%JTQMBZͷ։ൃʹ͓͍ͯɼ޿͍ࢹ໺ 'JFMEPG7JFX ͱେ͖ͳ&ZFCPYΛ࣮ݱ͢Δ͜ͱ͕େࣄ • ղ૾౓͕Ұఆͷ৔߹ɼ'P7ͱ&ZFCPY͸ͲͪΒ͔Λେ͖͘͢Ε͹ͲͪΒ͔͕খ͘͞ͳΔτϨʔυΦϑͷؔ܎ʹ͋Δ ʢޙड़ʣ • ͜ͷ໰୊Λվળ͢ΔͨΊɼຊ࿦จͰ͸ɼ&ZFCPY͸Ұఆͷ··'P7ͷΈΛ޿͛ΔޫֶܥΛ࣮ݱͨ͠ ʢ4-.ͷޙʹ4DBUUFSJOH.BTLΛ഑ஔʣ *OUSPEVDUJPO /FBS&ZF%JTQMBZʹ͓͚Δ'JFMEPG7JFX 'P7 ͱ&ZFCPYͷτϨʔυΦϑ໰୊ 'P7ͷ֦େ ैདྷޫֶܥͱఏҊޫֶܥ

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• Ұ࣍ճં֯ ʢEճં֨ࢠϐονɼQϐΫηϧαΠζɼ ʣ ͭ·Γɼ4-.ͷϐΫηϧαΠζʹґଘͯ͠ճં͕ܾ֯·Γɼճં֯ʹґଘ ͯ͠'P7ʢ࠷େࢹ໺֯ʣ͕ܾఆ͞ΕΔ • &ZFCPY͸4-.ͷαΠζͱҰக • ݱঢ়ɼ੡඼ͱͯ͠ଘࡏ͢Δ4-.Ͱ࠷΋ղ૾౓͕ߴ͍ͷ͸ɼ)PMPFZF ("&"ʢղ૾౓ɿYɼϐΫηϧαΠζɿЖNʣ • ΋͠ɼԣˍ'P7˃ ˠɹ&ZFCPYNNʢϐΫηϧαΠζЖNʣ • ΋͠ɼԣˍ&ZFCPYNNʢϐΫηϧαΠζЖNʣ ˠɹ'P7˃ • ΋͠ɼ'P7˃ˍ&ZFCPYNN ˠɹԣʢϐΫηϧαΠζЖNʣ • ୯ମ4-.ʹΑΔ޿͍'P7େ͖ͳ&ZFCPYͷཱ྆͸ඇݱ࣮తʢཁ޻෉ʣ λ = d sin(θ) d = 2p 4 1SJODJQMF ճં֯ɾ'P7ɾ&ZFCPY 1JYFMWBMVF 1JYFMWBMVF 1JYFMWBMVF

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5 • ճં֯ʹ'P7͸ϐΫηϧαΠζʹґଘ͢ΔͨΊɼ޿͍'P7Λ࣮ݱ͢ΔͨΊʹ͸ϐΫηϧαΠζΛখ͘͢͞Δඞཁ͕͋Δ • ͔͠͠ͳ͕ΒɼϐΫηϧ਺ˍ'P7˃Λ࣮ݱ͢Δͱɼ֯౓෼ղೳ͸ BOHVMBSSFTPMVUJPO QJYTEFHSFF • ਓؒͷ؟ͷ֯౓෼ղೳ͸ɼࢹྗPSʢࢹྗʣͷ৔߹ɼQJYTEFHSFFͱݴΘΕΔ • ͭ·Γɼޫֶత੍໿͔Βա৒ͳղ૾౓Λ࣮ݱͤ͟ΔΛಘͳ͍ ˠղ૾౓Λଟগ٘ਜ਼ʹͯ͠΋࣮༻্໰୊ͳ͍ʂ ˠ4DBUUFSJOH.BTLʢ3BOEPN1IBTF.BTLʣΛ༻͍ͨ޿'P7ͷ࣮ݱ΁ʂʂ 1SJODJQMF ਓؒͷ؟ͷղ૾ྗ੍໿ ఏҊޫֶܥ

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6 • 4-.Ґ૬ʴ4DBUUFSJOH.BTL 3BOEPN1IBTF.BTL ʹΑΔϗϩάϥϜͷ࠶ੜ૾͸ɼ * Y ڧ౓෼෍BU*NBHF1MBOFɼT V DPNQMFYGJFMEBU4-.ɼN V NBTLQIBTFɼ'\ɾ^%ϑʔϦΤม׵ • 4DBUUFSJOH.BTL 3BOEPN1IBTF.BTL ͸ط஌Ͱ͋ΔͨΊɼޙ͸4-.ͰԿΛදࣔ͢Δ͔ͱ͍͏࿩ʹͳΔ ද͍ࣔͨ͠໨తͷը૾ɼQJ4-.Ͱදࣔ͢ΔҐ૬ ͜ͷܭࢉ͔ΒͰ΋4-.Ͱදࣔ͢ΔҐ૬͸ܭࢉͰ͖Δ͕ɼෆे෼ʢӈը૾ ࠨ ʣ I( ⃗ x ) = |F{ s( ⃗ u )m( ⃗ u ) }|2 ̂ s( ⃗ u ) = F−1{ ̂ y( ⃗ x )}m*( ⃗ u ) pi = arg (∫ δi F−1{ ̂ y( ⃗ x )}m*( ⃗ u )d ⃗ u ) ̂ y( ⃗ x ) 1SPQPTFE.FUIPE දࣔ͢ΔҐ૬ͷ࠷దԽ໰୊ ࠷దԽ݁Ռͱͷൺֱ

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7 • ࠷దԽ໰୊Λղ͘͜ͱͰɼྑ͍࠶ੜ૾ΛಘΔ • ͳ͓ɼ4-.ͷϐΫηϧαΠζ͸4DBUUFSJOH.BTL 3BOEPN1IBTF.BTL ͷϐοναΠζʹൺ΂ͯେ͖͍ͷͰɼҎԼͷMPTTGVODUJPOͰ͸໨ඪग़ ྗʹ·ͰࢸΒͳ͍ • ͦ͜Ͱप೾਺੍໿੍͔ۭؒ໿ΛՃ͑ͨMPTTGVODUJPOͰ࠷దԽΛߦ͏ʢ'*45"Λར༻ʣ प೾਺੍໿ɿɹ ੍ۭؒ໿ɿɹ • ʢ.VMUJQMF'PDBM1MBOFT΁ͷ֦ுͷ࿩΋ׂ͕͋ͬͨѪʣ ̂ p = arg (arg min ⃗ s L(I( ⃗ x , ̂ I( ⃗ x )))) subject to | ⃗ s | = ⃗ 1 L (I( ⃗ x ), ̂ I( ⃗ x )) = 1 2 ∑ ⃗ x (I( ⃗ x ) − ̂ I( ⃗ x )) 2 L (I( ⃗ x ), ̂ I( ⃗ x )) = 1 2 ∑ ⃗ x (cf ( ⃗ u ) F{I( ⃗ x ) − ̂ I( ⃗ x )}) 2 L (I( ⃗ x ), ̂ I( ⃗ x )) = 1 2 ∑ ⃗ x (cs ( ⃗ x ) F−1 {cf ( ⃗ u′ ) F{I( ⃗ x ) − ̂ I( ⃗ x )}}) 2 1SPQPTFE.FUIPE දࣔ͢ΔҐ૬ͷ࠷దԽ໰୊ ࠷దԽͷཧղ͕ෆे෼Ͱɼ࠷దԽʹؔ͢Δे෼ͳઆ໌͕Ͱ͖ͣ͢Έ·ͤΜ ΋͠ࢀߟʹͳΔࢿྉ΍࠷దԽΛֶͿ্ͰͷΦεεϝ͕͋Ε͹ڭ͑ͯཉ͍͠Ͱ͢

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8 4JNVMBUJPO3FTVMUT ࠷దԽͷγϛϡϨʔγϣϯ݁Ռ γϛϡϨʔγϣϯ݁Ռ

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9 &YQFSJNFOUBM3FTVMUT ࣮ࡍͷޫֶܥʹΑΔ݁Ռ ࣮ݧʹ͓͚Δޫֶܥ ࣮ޫֶܥͰͷࡱӨ݁Ռ

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10 • ΑΓྑ͍ϦβϧτΛಘΔͨΊʹߟ͑ΒΕΔख๏ • Ґ૬ͷΈ͔Βෳૉৼ෯΁ͷҠߦ • த৺ᜰϨϯμϦϯάͷ࠾༻ ʢݻఆPSΞΠτϥοΧʔʣ • γϛϡϨʔγϣϯʹൺ΂࣮ͯࡍͷϦβϧτ͕ϊ Πζ͋Γ • 4DBUUFSJOH.BTLͷϐοναΠζ͕ඇৗʹ ࡉ͔͍ͨΊɼΞϥΠϝϯτ͕ࠔ೉ • ϚεΫࣗମͷ࿪Έ͕ൃੜ • /FBS&ZF%JTQMBZͱͯ͠ͷখܕԽʹ͍ͭͯ %JTDVTTJPO ͏·͍͍ͬͯ͘ͳ͍఺΍վળ఺ʹ͍ͭͯ ΑΓྑ͍Ϧβϧτʹ޲͚ͯ ࿪ΈͷγϛϡϨʔγϣϯ খܕԽͷख๏

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11 )PMPHSBQIJD0QUJDTGPS5IJOBOE-JHIUXFJHIU7JSUVBM 3FBMJUZ "OESFX.BJNPOF +VOSFO8BOH 'BDFCPPL3FBMJUZ-BCT 1BQFS*OGPSNBUJPO

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12 • ബܕϨϯζΛ1BODBLF-FOTͱݺΜͩΓ͢Δ͕ɼӈਤͷΑ͏ʹബܕޫֶ ૉࢠΛฒ΂ͨ1BODBLF0QUJDTͱݺ͹ΕΔ΋ͷ΋͋Δ • /FBS&ZF%JTQMBZʹ׆༻͞ΕΔ1BODBLF0QUJDT͸ɼภޫ൘ʹΑΔภޫಛ ੑʹΑͬͯ൓ࣹΛ܁Γฦ͢ޫֶܥͱ͢Δ͜ͱͰɼޫ࿏௕Λ֬อ͢Δϝ Ϧοτ͕ଘࡏ͢Δ • DJSDVMBSQPMBSJ[FSͰԁภޫˠ̍౓໨ͷ೾௕൘Ͱ௚ઢภޫʹ ʢ˞SFGMFDUJWFQPMBSJ[FSͰ൓ࣹʣˠ̎ɾ̏౓໨ͷ೾௕൘Ͱภޫ Λ౓ม͑ΔˠSFGMFDUJWFQPMBSJ[FSΛ௨ա • ·ͨɼ/FBS&ZF%JTQMBZͷྫ͔Β΋Θ͔ΔΑ͏ʹɼ޿͍'P7ͷ࣮ݱʹ͓ ͍ͯ΋༗༻ͳηοτΞοϓͱͳΓಘΔ #BDLHSPVOE 1BODBLF0QUJDT GPS/FBS&ZF%JTQMBZ

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13 • ϑϧΧϥʔରԠ͍ͯ͠ΔϗϩάϥϑΟοΫޫֶૉࢠΛ1BODBLF0QUJDTʹऔΓೖΕͨ/FBS&ZF%JTQMBZͷ࣮ݱ • ̏छྨͷ࣮༻తͳޫֶܥͷఏҊ *OUSPEVDUJPO ຊ࿦จͰ࣮ݱͨ͜͠ͱ ఏҊ͞Ε͍ͯΔ̏ͭͷޫֶܥ

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14 • σΟεϓϨΠͷޙํʹԾ૝఺ޫݯ͕ൃੜ͠ɼ7PMVNF)PMPHSBN͔Βͷ൓ࣹޫ͕ ࠶ؼੑ൓ࣹͱͳΔΑ͏ͳύλʔϯ͕ඞཁ • ̎ͭͷߴ/"ϨϯζΛɼয఺ڞ༗Ͱ޲͔͍߹Θͤɼ)0&Λ࡞੒͢Δͱ࣮ݱՄೳ ͱͷ͜ͱ • ಉ༷ͷख๏ͷઌߦݚڀ΍આ໌͕ݟ͔ͭΒͣɼ͍·͍ͪཧղ͕ෆे෼ͳͷ Ͱɼิ଍͋Ε͹Ͳ͔͜Ͱ͓ئ͍͠·͢ • ˣԾ૝఺ޫݯͷ࣮ݱͷ༷ࢠ 1SJODJQMF 3FUSPSFGMFDUPS-FOT1SPGJMFSFDPSEFEPO)0& ্ /FBS&ZF%JTQMBZͷޫֶܥ Լ )0&࡞੒༻ͷޫֶܥ

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15 3FTVMUTˍ%JTDVTTJPO #FODIUPQ1SPUPUZQF ্ %JTQMBZ3FTVMU ࠨ ޫֶఆ൫্ͷϓϩτλΠϓ ղ૾౓ͷ֬ೝ )PMPHSBQIJD0QUJDTʹ͓͚Δ৭ζϨ

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16 4VOHMBTT5ZQF1SPQUPUZQF 3FTVMUTˍ%JTDVTTJPO αϯάϥελΠϓͷϓϩτλΠϓ ্ ղ૾౓ͷ֬ೝ ࠨ %TJQMBZ3FTVMU

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17 5PXBSET0DDMVTJPO"XBSF.VMUJGPDBM%JTQMBZT +FO)BP3JDL$IBOH "OBU-FWJO #7,7JKBZB,VNBS "TXBO$4BOLBSBOBSBZBOBO $BSOFHJF.FMMPO6OJWFSTJUZ 64" 5FDIOJPO *TSBFM 1BQFS*OGPSNBUJPO

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18 • ݱ࣮ͷ෺ମͰ͋Ε͹ɼःΒΕͨޫ͸࿙Εग़ͯ͘Δ͜ͱ͸ͳ͍ • ͔͠͠ɼैདྷͷNVMUJGPDBMEJTQMBZ͸ٖࣅత࠶ݱͷͨΊɼޙΖ ʹ͋Δ෺ମͷޫ͕࿙Εग़͖ͯͯɼ૾ͷΤοδ͕͓͔͘͠ͳΔ ʢ௿ίϯτϥετԽʣ *OUSPEVDUJPO .VMUJGPDBM%JTQMBZʹ͓͚Δ0DDMVTJPO໰୊ ࠨैདྷͷNVMUJGPDBMEJTQMBZ ӈఏҊख๏ DPOFUJMU ࠨ3FBMJUZ ݱ࣮ͷ෺ମ ӈैདྷͷNVMUJGPDBMEJTQMBZ ݟ͑ํͷҧ͍

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19 • ը૾දࣔͷPOPGGྖҬΛઃܭ͢Δ͜ͱͰɼޫͷ࿙ΕΛఏݴ͢ Δख๏΋ߟ͑ΒΕΔ͕ɼͦͷ৔߹ޫྔͷ௿Լ͕൱Ίͳ͍ ˣ • ͦ͜Ͱɼ֤ϐΫηϧ͔Βͷޫʹ޲͖Λ༩͑Δ DPOFUJMUͤ͞Δ ͜ͱͰݱ࣮ͷःޫͱࣅͨݱ৅Λ࠶ݱ͢Δख๏͕ఏҊ͞Εͨ *OUSPEVDUJPO .VMUJGPDBM%JTQMBZʹ͓͚Δ0DDMVTJPO໰୊ ख๏ͷൺֱ

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20 • νϧτγϑτΛՃ͑Δ͜ͱͰϨϯζͷ։ޱʹΑΔ WJHOFUUJOH ޱܘ৯ Λආ͚ΒΕΔ ӈਤC ˞ຊ࿦จͰ͸ະ࢖༻ 4-.ͷ੍໿ΑΓ • جຊํ਑͸ɼPDDMVTJPOྖҬ͔ΒϐΫηϧͷMJHIUDPOFΛ ग़͢͜ͱ ӈਤB • ͦͷͨΊʹɼ Λ·ͣٻΊͯ ϕΫτϧΛܭࢉ͠ ্ͨͰ ΛٻΊΔ • ͜ͷࡍʹඞཁͳνϧτ֯Λ4-.Ͱදࣔ͢Δ • 4-.Ͱදࣔ͢ΔҐ૬෼෍͸࠷దԽ໰୊Λղ͘͜ͱ Ͱಋग़ x′ ′ o x′ ′ c − x′ ′ o ̂ x′ ′ c 1SJODJQMF νϧτγϑτʹΑΔޫֶతมԽ DPOFUJMUͷશମํ਑ UJMUʹΑΔWJHOFUUJOHճආʹ͍ͭͯ ޫֶతʹॏཁͳཁૉͷ֓೦ਤ

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21 • %.%Ͱද͍ࣔͨ͠ը૾Λग़ྗ͠ɼ4-.Λ༻͍ͯνϧτγϑτΛՃ͑Δ 1SPQPTFE.FUIPE νϧτγϑτΛ࣮ݱ͢Δޫֶܥ ޫֶܥͷߏ੒ਤ ࣮ࡍʹ૊Μͩޫֶܥ

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22 • ӈਤʹ͋ΔΑ͏ʹɼैདྷͷNVMUJGPDBMEJTQMBZʹൺ΂ͯɼ • 0DDMVTJPODVFTͷվળ • Τοδ෦෼ͷίϯτϥετվળ • ͕֬ೝ͞ΕΔ 3FTVMUT $POF5JMUʹΑΔվળͷ݁Ռ ॎϥΠϯʹ͓͚Δ݁Ռ ैདྷख๏ͱͷൺֱ

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23 • ࠷దԽ݁ՌͱλʔήοτҐ૬ͷޡࠩ • ΞʔςΟϑΝΫτͷൃੜ • ෳࡶͳܗঢ়ʹରԠ͢Δ͜ͱͷࠔ೉͞ • Ґ૬4-.ʹىҼ͢Δ੍ݶ %JTDVTTJPOT ࢒Δվળ఺ ࠷దԽʹ͓͚Δޡࠩ ෳࡶͳPDDMVTJPO΁͸ରԠͰ͖ͳ͍

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24 )FBE#MBTUFS"XFBSBCMFBQQSPBDIUPTJNVMBUJOHNPUJPO QFSDFQUJPOVTJOHIFBENPVOUFEBJSQSPQVMTJPOKFUT 4IJ)POH-JV 1BJ$IJFO:FO :J)TVBO.BP :V)TJO-JO &SJDL$IBOESB .JLF:$IFO /BUJPOBM5BJXBO6OJWFSTJUZ 1BQFS*OGPSNBUJPO ˞ࢿྉ࡞੒ஈ֊Ͱ࿦จ1%'͕ݟ౰ͨΒͳ͔ͬͨͨΊɼ΋ͷ͘͢͝ࡶͳ঺հͷΈʹͳΓ·͢

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25 • ).%ʹ̒ͭͷΤΞʔϊζϧΛ૷ண͠ɼѹॖۭؾδΣοτʹΑͬͯӡಈ࣌ʹײ͡Δԣํ޲ͷ׳ੑྗ΍ԕ৺ྗΛਖ਼֬ʹ࠶ݱͰ ͖ΔΑ͏ʹͨ͠ "CPVU)FBE#MBTUFS ԿΛ΍͍ͬͯΔͷ͔

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26 "CPVU)FBE#MBTUFS ԿΛ΍͍ͬͯΔͷ͔