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インタラクティブなメディアの地図投影法: WebメルカトルからAdaptive Projectionsへ / MIERUNE 社内勉強会 #033

インタラクティブなメディアの地図投影法: WebメルカトルからAdaptive Projectionsへ / MIERUNE 社内勉強会 #033

"Map Projection for Interactive Media: From Web Mercator to Adaptive Projections"

MIERUNE社内勉強会 https://mierune.github.io/mierune-log/

Mapbox GL JS デモ https://observablehq.com/@sorami/adaptive-projections-mapbox-gl-js-v2-6

Sorami Hisamoto

June 16, 2022
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  1. ΠϯλϥΫςΟϒ

    ͳ

    ϝσ
    ΟΞ

    ͷ

    ஍ਤ౤Ө๏
    .*&36/&ࣾ಺ษڧձ

    IJTBNPUP
    アポロ8号からの「地球の出」 (1968)


    NASA/GSFC/Reto Stöckli, Nazmi El Saleous, and Marit Jentoft-Nilsen, パブリック・ドメイン


    https://commons.wikimedia.org/wiki/File:Earth_from_Space.jpg
    8FCϝϧΧτϧ͔Β"EBQUJWF1SPKFDUJPOT΁

    View Slide

  2. アポロ17号からの地球「ザ・ブルー・マーブル」 (1972)


    NASA , パブリック・ドメイン


    https://nasa.gov/multimedia/imagegallery/image_feature_329.html

    View Slide

  3. オーランド・ファーガソンによる「地球平面図」 (1893)


    Orlando Ferguson, パブリック・ドメイン


    https://commons.wikimedia.org/wiki/File:Orlando-Ferguson-
    fl
    at-earth-map_edit.jpg

    View Slide

  4. 地球平面説 - Wikipedia


    https://ja.wikipedia.org/wiki/地球平面説

    View Slide

  5. 地理位置情報に関係ありそうな配信動画コンテンツ・その1 - Qiita


    https://qiita.com/[email protected]/items/54cde5c9faa6922ea731

    View Slide

  6. lϏϋΠϯυɾβɾΧʔϒ஍ٿฏ໘આl

    映画 ”Behind the Curve” 公式サイト


    https://www.behindthecurve
    fi
    lm.com/

    View Slide

  7. ビハインド・ザ・カーブ -地球平面説- | Net
    fl
    ix


    https://www.net
    fl
    ix.com/rs/title/81015076

    View Slide

  8. !"#$%


    '()*+
    ビハインド・ザ・カーブ -地球平面説- | Net
    fl
    ix


    https://www.net
    fl
    ix.com/rs/title/81015076
    フォント: 暗黒工房 日本語フリーホラーフォント「吐き溜フォント」


    http://www.ankokukoubou.com/font/hakidame.htm

    View Slide

  9. Behind the Curve - Of
    fi
    cial Release Trailer - YouTube


    https://www.youtube.com/watch?v=nuAoQsrYJqI

    View Slide

  10. ౤Ө
    1SPKFDUJPO

    View Slide

  11. 📜
    ฏ໘ͷϝσ
    ΟΞ
    🖥 📱

    View Slide

  12. マルティン・ヴァルトゼーミュラーによる舟型多円錐図法のような世界地図(1509)


    Martin Waldseemüller, パブリック・ドメイン


    https://commons.wikimedia.org/wiki/File:Erster_gedruckter_Globus,_Martin_Hylacomylus_(Waltzem%C3%BCller)_-
    _geh%C3%B6rt_wahrscheinlich_zu_seinem_1509_herausgegeben_Buch_%22Globus_mundi%27_;_Zweiter_gedruckter_Globus,_Peter_Apianus_-_in_dessen_LOC_2009582745.tif
    画像: 皮のむけたミカンのイラスト | かわいいフリー素材集 いらすとや


    https://www.irasutoya.com/2017/03/blog-post_614.html

    View Slide

  13. ༷ʑͳํ๏ͰʮٿʯΛʮ໘ʯ΁ࣸ͠ͱΔ

    ҎԼ͸ʮܗঢ়ʯʹΑΔ෼ྨ͜ͷଞʹ΋ෳ߹ܥ΍ɺଟ໘ମɺͳͲͳͲ
    図: John P. Snyder 1987, “Map projections: A working manual”, U.S. Government Printing Of
    fi
    ce


    p.6, Figure 1


    https://pubs.er.usgs.gov/publication/pp1395
    ԁ౵ ԁਲ਼ ํҐ
    $ZMJOESJDBM $POJD "[JNVUIBM

    View Slide

  14. ౤Ө๏ͷҰ෼ྨԁ౵ਤ๏
    $ZMJOESJDBM1SPKFDUJPO
    画像: KoenB, パブリック・ドメイン


    https://commons.wikimedia.org/wiki/File:Cilinderprojectie-constructie.jpg

    View Slide

  15. ౤Ө๏ͷҰ෼ྨԁ౵ਤ๏
    $ZMJOESJDBM1SPKFDUJPO
    画像: KoenB, パブリック・ドメイン


    https://commons.wikimedia.org/wiki/File:Cilinderprojectie-constructie.jpg
    z஍ٿʹר͖෇͚ͨԁ౵ʹ஍෺Λ౤Өͯ͠࡞ΒΕΔਤ๏ɺ
    సͯ͡ɺܦઢͱҢઢ͕௚ަ͢Δ௚ઢ܈ͱͳΔਤ๏z

    円筒図法 - Wikipedia


    https://ja.wikipedia.org/wiki/円筒図法

    View Slide

  16. ϝϧΧτϧਤ๏ԁ౵ਤ๏ͷҰछ
    D3.jsにより生成したメルカトル図法の世界地図


    コード: Mike Bostockによるものを変更


    データ: Natural Earth (World Atlas TopoJSON)


    https://observablehq.com/@sorami/world-map-canvas-with-tissots-indicatrices
    . F S D B U P S 1 S P K F D U J P O
    $POGPSNBM

    View Slide

  17. ϝϧΧτϧਤ๏ԁ౵ਤ๏ͷҰछ
    D3.jsにより生成したメルカトル図法の世界地図


    コード: Mike Bostockによるものを変更


    データ: Natural Earth (World Atlas TopoJSON)


    https://observablehq.com/@sorami/world-map-canvas-with-tissots-indicatrices
    ผ໊ʮਖ਼֯
    ԁ౵
    ਤ๏ʯ
    ਖ਼֯Ͳͷ఺ͷͲͷ֯౓΋ਖ਼͘͠౤Ө͞ΕΔ
    . F S D B U P S 1 S P K F D U J P O
    $POGPSNBM

    View Slide

  18. ϝϧΧτϧਤ๏ԁ౵ਤ๏ͷҰछ
    D3.jsにより生成したメルカトル図法の世界地図


    コード: Mike Bostockによるものを変更


    データ: Natural Earth (World Atlas TopoJSON)


    https://observablehq.com/@sorami/world-map-canvas-with-tissots-indicatrices
    ผ໊ʮਖ਼֯
    ԁ౵
    ਤ๏ʯ
    ਖ਼֯Ͳͷ఺ͷͲͷ֯౓΋ਖ਼͘͠౤Ө͞ΕΔ
    . F S D B U P S 1 S P K F D U J P O
    େߤւ࣌୅ɺધ৐Γʹศརʂ
    ʢ౳֯ߤ࿏ʣ

    ೥ͳͲͦΕҎલʹ΋ࣅͨ஍ਤ͕͋Γɺ൴͕ൃҊऀͰ͸ͳ͍ͱ͍͏ݟղ΋͋Δͦ͏

    ࢀߟ.FSDBUPSQSPKFDUJPO8JLJQFEJB

    [email protected]
    ήϥϧυΡεɾϝϧΧτϧ


    画像: メルカトルを描いた絵, パブリック・ドメイン


    https://commons.wikimedia.org/wiki/File:Gerardus_Mercator.jpg
    $POGPSNBM

    View Slide

  19. View Slide

  20. View Slide

  21. ਖ਼͕֯ͩ
    ਖ਼ੵɾਖ਼ڑͰ͸ͳ͍

    ਖ਼ੵ஍ਤ্ͷͲͷҐஔͰ΋໘ੵ͕౳͘͠දݱ͞Ε͍ͯΔ

    ਖ਼ڑԿΒ͔ͷج४ʢத৺΍ඪ४Ңઢʣ͔Βͷڑ཭͕ਖ਼͍͠
    $POGPSNBM
    &RVBMBSFB &RVJEJTUBOU

    View Slide

  22. Connormah, CC BY-SA 3.0


    https://commons.wikimedia.org/wiki/File:Greenland_(orthographic_projection).svg
    Martin23230, CC BY-SA 3.0


    https://commons.wikimedia.org/wiki/File:Africa_(orthographic_projection).svg
    ଞͷ౤Өྫਖ਼ࣹਤ๏
    0SUIPHSBQIJD1SPKFDUJPO
    ʮे෼ʹԕ͔͘Βݟͨ࣌ͷ༷ࢠʯ

    View Slide

  23. ͡Ό͋ɺͦͷʮ஍ٿّϏϡʔʯͰղܾʁ

    View Slide

  24. ͡Ό͋ɺͦͷʮ஍ٿّϏϡʔʯͰղܾʁ
    ਖ਼ࣹਤ๏΋ਖ਼ੵͰ͸ͳ͍ʢͦͯ͠ਖ਼֯Ͱ΋ͳ͍ʣ

    पล΁ߦ͘ʹͭΕ࿪Έ͕େ͖͘ͳΔ
    😨

    View Slide

  25. ͡Ό͋ɺͦͷʮ஍ٿّϏϡʔʯͰղܾʁ
    ਖ਼ࣹਤ๏΋ਖ਼ੵͰ͸ͳ͍ʢͦͯ͠ਖ਼֯Ͱ΋ͳ͍ʣ

    पล΁ߦ͘ʹͭΕ࿪Έ͕େ͖͘ͳΔ
    ൒ٿ͔͠ݟ͑ͳ͍

    ʮશੈքʯΛҰ໨ͰݟΔ͜ͱ͕Ͱ͖ͳ͍
    😱
    😨
    ྫ໌҉ڥքઢ ΦϨϯδ৭ͷ஍Ҭʹଠཅޫ͕౰͍ͨͬͯΔ

    ਤ.JLF#PTUPDLͷίʔυΛมߋ͠IJTBNPUP࡞੒ʢਖ਼ࣹਤ๏ φνϡϥϧΞʔεਤ๏ʣ
    IUUQTPCTFSWBCMFIRDPN!TPSBNJTPMBSUFSNJOBUPSJOEJGGFSFOUQSPKFDUJPOT

    View Slide

  26. View Slide

  27. View Slide

  28. ςΠιʔͷࢦࣔପԁ

    ஍ٿͷද໘ʹಉ͡େ͖͞ͷԁΛඳ͖ɺ౤Ө๏ͷ࿪ΈΛݟΔ
    ˞ϝϧΧτϧਤ๏͸ʮਖ਼֯ਤ๏ʯͳͷͰશ͕ͯਅԁʢପԁʹͳΒͳ͍ʣ
    D3.jsにより生成した世界地図とテイソーの指示楕円


    コード: Mike Bostockによるものを変更


    データ: Natural Earth (World Atlas TopoJSON)


    https://observablehq.com/@sorami/world-map-canvas-with-tissots-indicatrices

    View Slide

  29. ϋϯϝϧٯํҐ
    )BNNFS3FUSPB[JNVUIBM
    அ྾ϗϞϩαΠϯʢάʔυʣ
    (PPEF`TIPNPMPTJOF JOUFSSVQUFE

    ΢ΥʔλʔϚϯ௏ܕ
    8BUFSNBOl#VUUFS
    fl
    Zz
    ύʔεɾΫΠϯΧϯγϟϧ
    1FJSDFRVJODVODJBM
    ۭւҰମʢμΠϚΫγϣϯʣ
    "JSPDFBOBLB%ZNBYJPO
    Ϙϯψ
    #POOF

    View Slide

  30. ׬ᘳͳ౤Ө๏ͳͲແ͍

    ର৅ɺ৔ॴɺεέʔϧɺͳͲͰదࡐదॴ
    ࣌ͱ৔߹ʹΑΓʮෆద౰ͳ౤Ө๏ʯ͸͋ΓಘΔ
    ʮzٿzΛz໘z΁ࣹӨ͢Δͱඞવతʹ࿪Έ͕ੜ͡Δʯͱ͍͏͜ͱΛূ໌ͨ͠
    ΦΠϥʔʹΑΔ਺ֶ࿦จ͕͋Δͦ͏ IJTBNPUP͸ະಡ


    &VMFS
    l0OUIFNBQQJOHPG4QIFSJDBM4VSGBDFTPOUPUIF1MBOFz ӳ༁


    IUUQFVMFSBSDIJWFNBBPSHEPDTUSBOTMBUJPOT&FOQEG

    View Slide

  31. ͜Εɺ౤Ө๏తʹ͸

    Ͳ͏ͳΜͰ͠ΐ͏ ʁ

    ʢద౰ͳͷ͔΋͠Εͳ͍ʣ
    画像: hisamoto撮影(2022年1月22日)

    View Slide

  32. ๺ே઱ʹΑΔϛαΠϧສLN ສLNࣹఔڑ཭
    図: Esri, ArcUser Online, “Understanding Geodesic Buffering”


    Figure 1, Figure 2


    https://www.esri.com/news/arcuser/0111/geodesic.html
    ࠨ͚ͩݟͨΒɺୈײͰ͸ਖ਼͘͠ࢥ͑ͯ͠·͏

    ʮԤभ΍ΞϝϦΧ͸ࣹఔ֎ʜʁʯ
    ͱ͋Δ৽ฉʹܝࡌ͞Εͨਤ मਖ਼͞Εͨਤ
    * The Economist, 2003

    View Slide

  33. ͔͠͠ɺ8FCͰ͸
    ΄ͱΜͲ͕ϝϧΧτϧ
    ඇϝϧΧτϧ͸ɺ%KTʹΑΔσʔλՄࢹԽͨ͠ਤͱ͔͘Β͍

    View Slide

  34. 8FCϝϧΧτϧ&14(
    ϝϧΧτϧਤ๏Λ༻͍ͨ౤Ө࠲ඪܥ

    8FC஍ਤʹ͓͚ΔσϑΝΫτελϯμʔυ

    View Slide

  35. 8FCϝϧΧτϧ&14(
    ϝϧΧτϧਤ๏Λ༻͍ͨ౤Ө࠲ඪܥ

    8FC஍ਤʹ͓͚ΔσϑΝΫτελϯμʔυ
    * 本当は少し歪む (後述)
    ʮ֗࿏ͷφϏʯʹ౎߹͕ྑ͍

    Ͳͷڱ͍ൣғΛ੾Γऔͬͯ΋ܗঢ়͕࿪ΜͰ͍ͳ͍

    ֯౓ɾํ޲͕อͨΕ͍ͯΔ

    ஍ਤͷʮ্ʯ͕ৗʹʮ๺ʯ

    View Slide

  36. 8FCϝϧΧτϧ&14(
    ϝϧΧτϧਤ๏Λ༻͍ͨ౤Ө࠲ඪܥ

    8FC஍ਤʹ͓͚ΔσϑΝΫτελϯμʔυ
    * 本当は少し歪む (後述)
    ʮ֗࿏ͷφϏʯʹ౎߹͕ྑ͍

    Ͳͷڱ͍ൣғΛ੾Γऔͬͯ΋ܗঢ়͕࿪ΜͰ͍ͳ͍

    ֯౓ɾํ޲͕อͨΕ͍ͯΔ

    ஍ਤͷʮ্ʯ͕ৗʹʮ๺ʯ
    Ң౓˃Ҏ্Λ੾Γࣺ͍ͯͯΔ

    ˠੈք͕ਅ࢛֯TRVBSFʹͳΔ

    ˠ஍ਤλΠϧʢ࣍ทʣ

    View Slide

  37. ஍ਤλΠϧੈք஍ਤΛ෼ׂ͍ͯ͘͠
    ζʔϜϨϕϧ ζʔϜϨϕϧ ζʔϜϨϕϧ
    0/0/0 1/0/0
    1/0/1
    1/1/0
    1/1/1
    2/0/0 2/1/0 2/2/0 2/3/0
    2/0/1 2/1/1 2/2/1 2/3/1
    2/0/2 2/1/2 2/2/2 2/3/2
    2/0/3 2/1/3 2/2/3 2/3/3
    ֤λΠϧΛʮlζʔϜϨϕϧzl9࠲ඪzl:࠲ඪzʯͰࣔ͢
    ʮ֤λΠϧͷσʔλʯΛ༻ҙ͓͖ͯ͠ɺඞཁͳ΋ͷ͚ͩ౎౓഑৴͢Δ

    View Slide

  38. 国土地理院 - 地理院地図(電子国土Web) - タイル座標確認ページ

    https://maps.gsi.go.jp/development/tileCoordCheck.html

    View Slide

  39. 国土地理院 - 地理院地図(電子国土Web) - タイル座標確認ページ

    https://maps.gsi.go.jp/development/tileCoordCheck.html

    View Slide

  40. ʮ8FCϝϧΧτϧҎ֎Λ࢖͓͏ɺϚδͰʯ
    Use Literally Anything but Web Mercator - YouTube


    https://www.youtube.com/watch?v=R-ENwz5u7pE
    ̈

    View Slide

  41. ʮ8FCϝϧΧτϧҎ֎Λ࢖͓͏ɺϚδͰʯ
    Use Literally Anything but Web Mercator - YouTube


    https://www.youtube.com/watch?v=R-ENwz5u7pE
    ໘ੵ్͕ํ΋ͳ͘࿪ΜͰද͞ΕΔ
    ๺ۃɾೆۃΛදͤͳ͍
    ࢛͍֯ܗ͸ʮੈք͕ฏΒʯͱ͍͏ҹ৅Λ༩͑Δ
    ̈

    View Slide

  42. ʮ8FCϝϧΧτϧҎ֎Λ࢖͓͏ɺϚδͰʯ
    Use Literally Anything but Web Mercator - YouTube


    https://www.youtube.com/watch?v=R-ENwz5u7pE
    ໘ੵ్͕ํ΋ͳ͘࿪ΜͰද͞ΕΔ
    ๺ۃɾೆۃΛදͤͳ͍
    ࢛͍֯ܗ͸ʮੈք͕ฏΒʯͱ͍͏ҹ৅Λ༩͑Δ
    8FCϝϧΧτϧ͸ʮ஍ٿପԁମ8(4
    ʯʹରͯ͠
    ʮٿମ΁ͷϝϧΧτϧެࣜʯΛ༻͍͍ͯΔͨΊ
    ݫີʹ͸ਖ਼֯Ͱ͸ͳ͍


    ͦ͏͍ͬͨཧ༝͔ΒɺΞϝϦΧࠃ๷૯ল͸ެࣜͰͷར༻Λ༰ೝ͍ͯ͠ͳ͍

    ʢࢀߟ[email protected]@[email protected]/("OPUJDF


    ̈&14(͸౰ॳɺίʔυͷׂΓ౰ͯΛڋ൱ͨ͠ʢʮٕज़తͳ໰୊͕͋ΓɺؚΊͯ͠·͏ͱ%#ͷՁ஋ΛଛͶΔʯʣ

    ඇެࣜʹz(00(-&zΛ΋ͬͨ͡z&14(zͱ͍͏ίʔυͰݺ͹Ε0QFO-BZFSTʹऔΓೖΕΒΕͨ

    ʢࢀߟ[email protected]@QSPKFDUJPO

    ̈

    View Slide

  43. ʮ8FCϝϧΧτϧҎ֎Λ࢖͓͏ɺϚδͰʯ
    Use Literally Anything but Web Mercator - YouTube


    https://www.youtube.com/watch?v=R-ENwz5u7pE
    ໘ੵ్͕ํ΋ͳ͘࿪ΜͰද͞ΕΔ
    ๺ۃɾೆۃΛදͤͳ͍
    ࢛͍֯ܗ͸ʮੈք͕ฏΒʯͱ͍͏ҹ৅Λ༩͑Δ
    8FCϝϧΧτϧ͸ʮ஍ٿପԁମ8(4
    ʯʹରͯ͠
    ʮٿମ΁ͷϝϧΧτϧެࣜʯΛ༻͍͍ͯΔͨΊ
    ݫີʹ͸ਖ਼֯Ͱ͸ͳ͍


    ͦ͏͍ͬͨཧ༝͔ΒɺΞϝϦΧࠃ๷૯ল͸ެࣜͰͷར༻Λ༰ೝ͍ͯ͠ͳ͍

    ʢࢀߟ[email protected]@[email protected]/("OPUJDF


    ̈&14(͸౰ॳɺίʔυͷׂΓ౰ͯΛڋ൱ͨ͠ʢʮٕज़తͳ໰୊͕͋ΓɺؚΊͯ͠·͏ͱ%#ͷՁ஋ΛଛͶΔʯʣ

    ඇެࣜʹz(00(-&zΛ΋ͬͨ͡z&14(zͱ͍͏ίʔυͰݺ͹Ε0QFO-BZFSTʹऔΓೖΕΒΕͨ

    ʢࢀߟ[email protected]@QSPKFDUJPO

    8FCϝϧΧτϧ͸શͯΛ࿪·ͤΔ

    ܗ ֯౓ ໘ੵ ڑ཭ ํ޲ ౳֯ߤ࿏ ίϯύεํҐ ʜ
    ̈

    View Slide

  44. Kenneth Field “Mercator, it’s not hip to be square” (Esri ArcGIS Blog)


    https://www.esri.com/arcgis-blog/products/arcgis-pro/mapping/mercator-its-not-hip-to-be-square/

    View Slide

  45. l1VMQ'JDUJPOz .JSBNBY'JMNT

    Kenneth Field “Mercator, it’s not hip to be square” (Esri ArcGIS Blog)


    https://www.esri.com/arcgis-blog/products/arcgis-pro/mapping/mercator-its-not-hip-to-be-square/

    View Slide

  46. 📜
    ฏ໘΁ͷ౤Ө
    🖥 📱

    View Slide

  47. 📜
    ฏ໘΁ͷ౤Ө
    🖥 📱
    ͜Ε·Ͱͷ౤Ө๏͸ɺʮࢴʯΛ૝ఆ͍ͯ͠Δ

    View Slide

  48. 📜
    ฏ໘΁ͷ౤Ө
    🖥 📱
    ಈ͔ͤΔ
    ͜Ε·Ͱͷ౤Ө๏͸ɺʮࢴʯΛ૝ఆ͍ͯ͠Δ

    View Slide

  49. ֗࿏ϨϕϧͰͷφϏ

    8FCϝϧΧτϧͷطଘࢿ࢈
    ΑΓద੾ͳදݱ

    View Slide

  50. 🖥 📱
    ֗࿏ϨϕϧͰͷφϏ

    8FCϝϧΧτϧͷطଘࢿ࢈
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    ΟΞ

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  51. "EBQUJWF

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  52. σϞ
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    ©︎
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  53. 地図:
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  54. 地図:
    ©︎
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    ©︎
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    View Slide

  55. 地図:
    ©︎
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    ©︎
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  56. 地図:
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  57. l"EBQUJWF$PNQPTJUF.BQ1SPKFDUJPOTz #FSOIBSE+FOOZ

    *&&&5SBOTBDUJPOTPO7JTVBMJ[BUJPOBOE$PNQVUFS(SBQIJDT

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  58. Ң

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  59. OSUCartography/adaptive-composite-map-projections: Adaptive composite map projections combine several projections

    https://github.com/OSUCartography/adaptive-composite-map-projections
    ࿦จͷ࣮૷ͱσϞ

    View Slide

  60. Adaptive Composite Map Projections


    https://berniejenny.info/demos/AdaptiveCompositeMapProjections/
    ࿦จͷ࣮૷ͱσϞ

    View Slide

  61. Reimagining projections for the interactive maps era | Mapbox Blog


    https://www.mapbox.com/blog/adaptive-projections
    ࣌͸ܦͪɺͦͯ͠೥݄

    .BQCPY(-+4W

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  62. インタラクティブマップ時代の投影法を再構築する|Mapbox Devlog|ブログ|Mapbox Japan


    https://www.mapbox.jp/blog/adaptive-projections
    ެࣜ࿨༁΋
    ͋ΔΑ

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  63. 0/0/0 1/0/0
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  64. 0/0/0 1/0/0
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  65. .BQCPYνʔϜͷํ਑
    ɹطଘࢿݯͱͷޓ׵ੑ

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    ɹϥελʔͰ͸ɺςΩετϥϕϧ͕࿪Ήɺγϟʔϓͳઢ΍ΞΠίϯ͕΅΍͚Δ
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  66. 0/0/0 1/0/0
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    ©︎
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    ϝϧΧτϧ ʜ
    ඇϝϧΧτϧ
    ζʔϜϨϕϧͷఆٛ

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  67. ζʔϜϨϕϧͷఆٛ
    0/0/0 1/0/0
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    ϝϧΧτϧ ʜ
    ඇϝϧΧτϧ
    ͜Ε·Ͱͷఆٛ͸੒Γཱͨͳ͍

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    ௚ײతʹ͸ʮಉ͡Ϩϕϧɾத৺ʯͰɺ

    ͍͍ͩͨಉ͡ΤϦΞΛΧόʔ
    ܗͷαΠζײ΋ಉఔ౓

    View Slide

  68. ζʔϜϨϕϧͷఆٛ
    0/0/0 1/0/0
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    地図:
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    ϝϧΧτϧ ʜ
    ඇϝϧΧτϧ
    ɹɹɹ೚ҙͷΤϦΞΛࢀর఺ͱͯ͠ࢦఆ
    ɹɹɹ࠶౤Ө࠲ඪͰͷαΠζΛࢉग़
    ɹɹɹϝϧΧτϧ࠲ඪͰͷαΠζΛࢉग़
    ɹɹɹ྆ऀͷαΠζ͕߹͏Α͏ʹ౤ӨΛௐ੔
    図: Reimagining projections for the interactive maps era | Mapbox Blog


    https://www.mapbox.com/blog/adaptive-projections

    View Slide

  69. ζʔϜϨϕϧͷఆٛ
    0/0/0 1/0/0
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    地図:
    ©︎
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    ©︎
    OpenStreetMap
    ϝϧΧτϧ ʜ
    ඇϝϧΧτϧ
    ʮ೚ҙͷࢀর఺ʯ͸Ͳ͕͜Α͍ʁ


    ʮݻఆʢੈքͷத৺ͱ͔ʣʯˠ཭ΕΔʹͭΕࠩҟ͕֦େ

    ʮը໘ͷத৺ʯˠը໘Λύϯ͢ΔͱζʔϜ͕มԽ
    ௿ζʔϜϨϕϧݻఆʢ౤Өͷத৺ʣ

    ˠύϯͯ͠΋ੈքͷܗ͕มΘΒͳ͍ɺζʔϜ͠ͳ͍
    ߴζʔϜϨϕϧը໘ͷத৺

    ˠύϯൣғ͕ͦΕ΄Ͳେ͖ͳڑ཭Ͱ͸ͳ͍ͨΊɺεέʔϧมԽ͸໨ཱͨͳ͍


    ͦͷؒ͸྆ํΛ࢖͍ɺεʔϜζʹҠߦͤ͞Δ

    View Slide

  70. ํ֯ͷௐ੔
    地図:
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    ©︎
    OpenStreetMap

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  71. ํ֯ͷௐ੔
    地図:
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    ©︎
    OpenStreetMap
    ௿ζʔϜϨϕϧʮ౤Өͷத৺͔Βਅ্ʯ͕ʮ๺ʯ

    ˠύϯͯ͠΋஍ਤ͸ճస͠ͳ͍
    ߴζʔϜϨϕϧʮը໘ͷத৺͔Βਅ্ʯ͕ʮ๺ʯ

    ˠϝϧΧτϧͱಉ༷ʹɺ஍ٿ্ͷͲͷ஍఺Ͱ΋๺͕ਅ্

    ύϯͨ࣌͠ͷճస͸໨ཱͨͳ͍


    ͦͷؒ͸྆ํΛ࢖͍ɺεʔϜζʹҠߦͤ͞Δ

    View Slide

  72. ࿪Έͷิਖ਼
    地図:
    ©︎
    Mapbox
    ©︎
    OpenStreetMap

    View Slide

  73. ࿪Έͷิਖ਼
    地図:
    ©︎
    Mapbox
    ©︎
    OpenStreetMap
    ਖ਼֯Ͱ͸ͳ͍౤Ө͸ɺܗ͕࿪Ή

    ʢҢ౓ͱܦ౓͕௚֯Ͱ͸ͳ͍ʣ
    ௿ζʔϜϨϕϧ஍ٿ্ͷ΄΅ฏ໘

    ˠଞͷ౤Ө๏͕ඞཁͳ͍
    ࿪ΈͷτϨʔυΦϑʢʮܗʯͱʮαΠζʯʣ͕ͳ͘ͳΔ

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  74. ࿪Έͷิਖ਼
    地図:
    ©︎
    Mapbox
    ©︎
    OpenStreetMap
    ˠ࿪ΈΛิਖ਼͠ਖ਼֯ʹ͢Δ

    ઢΛ௚֯΁ɺॎԣͷڑ཭Λ౳͘͠
    ΞϑΟϯม׵


    図: RobHar, パブリックドメイン


    https://commons.wikimedia.org/wiki/File:VerticalShear_m%3D1.25.svg
    8FC(-ͷWJFXNBUSJYΛิਖ਼

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    λΠϧͷϩʔυ࣌ʹ࠲ඪ࠶౤Ө

    ζʔϜ࣌ʹͦͷ࠲ඪΛิਖ਼

    ˠϢʔβʔૢ࡞ʹΑΔΦʔόʔϔουͳ͠
    ʮߴ౓ͳมܗෆۉ౳ʹͻͶΔͱ͔ʯΑΓ΋
    ࣗવʹײ͡Δ

    View Slide

  75. λΠϧͷϩʔσ
    Οϯάઓུ
    図: Reimagining projections for the interactive maps era | Mapbox Blog


    https://www.mapbox.com/blog/adaptive-projections
    ͨͩʮ࢛͍֯λΠϧΛෑ͖٧ΊΔʯΘ͚Ͱ͸ͳ͘ͳ͍ͬͯΔ
    ಉ͡ζʔϜϨϕϧͰ΋ɺ৔ॴʹΑͬͯλΠϧͷαΠζ͕ҟͳΔ

    ˠಉҰϏϡʔͰɺҟͳΔζʔϜϨϕϧͷλΠϧΛऔಘ

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  76. ϕΫλʔͷϦαϯϓϦϯά
    ʮ৽͍͠࠲ඪͷࢉग़ʯ͚ͩͰ͸ෆे෼
    ਅͬ௚͙ͩͬͨʮઢʯʮϙϦΰϯͷηά
    ϝϯτʯ͕ۂ͕ΔՄೳੑ
    ۉҰͰ͸ͳ͘ɺՕॴʹԠͯ͡௥Ճ

    ʮઢͷதԝ΁௥Ճʯ

    ʮ఺Ͱ෼ׂͯ͠Ͱ͖ͨͭͷηά
    ϝϯτɺͦΕͧΕͷதԝ΁௥Ճʯ

    Λ࠶ىతʹ܁Γฦ͢


    యܕతͳ஍ਤͰɺͷ఺Λ௥Ճ͢Δ͚ͩͰɺ

    ࠶౤ӨͷزԿΛਖ਼͘͠ϨϯμϦϯάͰ͖Δ
    ˠΧʔϒΛ࡞ΔͨΊɺ
    ɹؒʹɺ఺Λ૿΍͢
    図: Reimagining projections for the interactive maps era | Mapbox Blog


    https://www.mapbox.com/blog/adaptive-projections
    ʜ఺͕ଟ͍ͱɺϨϯμϦϯάͷύϑΥʹӨڹ
    ݮΒ͗͢͠Δͱɺઢͱ౤Ө͕ෆҰக

    View Slide

  77. ϥελʔͷ࠶౤ӨӴ੕ը૾ϨΠϠʔͳͲ
    ʮϝϧΧτϧͷը૾ʯΛϩʔυͯ͠ɺ࿪ΜͩλΠϧ΁౤Ө͢Δ
    図: Reimagining projections for the interactive maps era | Mapbox Blog


    https://www.mapbox.com/blog/adaptive-projections
    8FC(-୔ࢁͷʮখ͞ͳࡾ֯ܗʯ΁෼ׂ

    ࡾ֯ͷ਺͕গͳ͍ํ͕ɺϨϯμϦϯά͸଎͍
    .BQCPY͕೥લʹެ։ͨ͠
    ʮ."35*/*ʯ

    lϥελߴ౓஍ਤz͔Βz%஍ܗϝογϡzΛϦΞϧλΠϜੜ੒

    ˠશ͘ಉ͡Ξϓϩʔν͕࢖͑Δ
    ʮ࠶౤ӨʹΑΓΤοδ͕ͲΕ͘Β͍Χʔϒ͢Δ͔ʯΛ΋ͱʹ

    ˠ࿪Έͷখ͍͞ΤϦΞ͸ࡾ֯Λগͳ͘ɺେ͖͍ΤϦΞ͸ଟ͘

    View Slide

  78. 図: Carbon により作成


    https://carbon.now.sh/
    ߦɺ௥Ճ͢Δ͚ͩ
    ҟͳΔ౤Ө๏Λ࢖͏ͱ͖Wd

    View Slide

  79. ਖ਼ੵ ਖ਼֯ ં஭
    ਖ਼ڑ
    Ξϧϕϧεਖ਼ੵԁਲ਼ਤ๏

    /:λΠϜζͷબڍ஍ਤɺ
    ࠃ౔஍ཧӃͷ
    ʮશࠃ౎ಓ෎ݝࢢ۠ொଜผ໘ੵௐʯͰ࠾༻
    ΠίʔϧΞʔεਤ๏

    ೥ఏҊɻ
    "EBQUJWF1SPKFDUJPOT࿦จͷஶऀΛؚΉ
    ϝϧΧτϧਤ๏

    TRVBSFͳϠπɻ
    σϑΥϧτઃఆ
    ϥϯϕϧτਖ਼֯ԁਲ਼ਤ๏

    ఱؾਤɺߤۭਤɺ஍ܗਤɺͳͲɻ
    ࠃ౔஍ཧӃʮສ෼ͷ஍ํਤʯ΍
    ʮສ෼ͷࠃࡍਤʯͰ࠾༻
    ϰΟϯέϧਤ๏ ୈਤ๏

    φγϣφϧδΦάϥϑΟοΫڠձ͕
    ೥ʹ࠾༻
    φνϡϥϧΞʔεਤ๏
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    ਖ਼ڑԁ౵ਤ๏
    Ңઢɾܦઢ͕௚͔֯ͭ౳ִؒʹަࠩɻ
    ඪ४Ңઢ্ͱॎํ޲ʹؔͯ͠ਖ਼ڑ
    “equalEarth”
    “albers”
    “mercator” “winkelTripel”
    “lambertConformalConic” “naturalEarth”
    “equirectangular”
    ࠓɺ.BQCPYͰ࢖͑Δ౤Ө๏
    地図:
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    ©︎
    OpenStreetMap

    View Slide

  80. ਖ਼ࣹਤ๏


    WͰಋೖ༧ఆʢϕʔλͳΒ΋͏࢖͑Δʣ


    ˞͜ͷ৔߹͸ɺςΫενϟʔΛϨϯμʔͯ͠%ϝογϡ΁Ϛοϓ͢ΔΒ͍͠
    [PoC] Globe view · Issue #10784 · mapbox/mapbox-gl-js


    https://github.com/mapbox/mapbox-gl-js/issues/10784

    View Slide

  81. ʮେؾʯͷελΠϧ΋ม͑ΒΕΔ
    Mapbox Globe atmosphere style · Issue #11934 · mapbox/mapbox-gl-js


    https://github.com/mapbox/mapbox-gl-js/issues/11934

    (図のオリジナルは Issue #10784 の mpulkki-mapbox によるもの)
    “Atmosphere playground with globe”, Anna Peery


    https://codepen.io/avpeery/pen/eYVeKVB

    View Slide

  82. .BQCPYͷ΄͔͸ʁ
    ϝϧΧτϧҎ֎ͷ౤Ө๏

    "EBQUJWF1SPKFDUJPOT

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  83. %KT d3-{geo,geo-projection,geo-polygon}
    ͋Γͱ͋ΒΏΔ౤Ө๏͕͋Δ
    Projection Comparison / D3 / Observable


    https://observablehq.com/@d3/projection-comparison

    View Slide

  84. -FB
    fl
    FU Proj4Leaflet
    Proj4Lea
    fl
    et - Support all projections and CRS in Lea
    fl
    et


    http://kartena.github.io/Proj4Lea
    fl
    et/
    kartena/Proj4Lea
    fl
    et: Smooth Proj4js integration with Lea
    fl
    et.


    https://github.com/kartena/Proj4Lea
    fl
    et
    ʢߋ৽͸ࢭ·͍ͬͯΔʁʣ
    ࠲ඪܥม׵ϥΠϒϥϦʮ130++4ʯʹΑΔ

    View Slide

  85. 0QFO-BZFST
    OpenLayers - Frequently Asked Questions (FAQ)


    https://openlayers.org/en/latest/doc/faq.html
    Reprojection with EPSG.io Search


    https://openlayers.org/en/latest/examples/reprojection-by-code.html
    l΄ͱΜͲͷ౤Ө๏ʹରԠՄೳz

    View Slide

  86. EFDLHM
    deck.gl | GlobeView (Experimental)


    https://deck.gl/docs/api-reference/core/globe-view
    D3の投影法を使ってDeck.glに地図を表示する – GUNMA GIS GEEK


    https://gunmagisgeek.com/blog/deck-gl/7143
    ʮ஍ٿّϏϡʔʯ͕࣮ݧػೳͱͯ͠ଘࡏ͢Δ

    View Slide

  87. Google マップ(
    ©︎
    Google / 地図データ
    ©︎
    2022 Google, INEGI)


    https://maps.google.com/
    Apple マップ (
    ©︎
    Apple Inc.)


    https://www.apple.com/jp/maps/
    (PPHMFϚοϓ "QQMFϚοϓͰ͸
    ਖ਼ࣹਤ๏΁ͷ"EBQUJWF1SPKFDUJPO͕࣮૷͞Εͨ

    View Slide

  88. Overview - MapLibre Roadmap | Product Roadmap


    https://roadmap.maplibre.org/tabs/16-overview
    .BQ-JCSFͷϩʔυϚοϓ

    View Slide

  89. Overview - MapLibre Roadmap | Product Roadmap


    https://roadmap.maplibre.org/tabs/16-overview
    .BQ-JCSFͷϩʔυϚοϓ
    ʮݕ౼தʯͷͳ͔Ͱ

    Ұ൪੝Γ্͕͍ͬͯΔ

    View Slide

  90. Globe view - Earth is not
    fl
    at · Issue #307 · maplibre/maplibre-gl-js


    https://github.com/maplibre/maplibre-gl-js/issues/307

    View Slide

  91. Globe view - Earth is not
    fl
    at · Issue #307 · maplibre/maplibre-gl-js


    https://github.com/maplibre/maplibre-gl-js/issues/307

    View Slide

  92. ·ͱΊ
    ౤Ө๏ؙ͍஍ٿΛͲ͏΍ͬͯฏ໘΁ʁ

    ࢴͱҧ͍ɺίϯϐϡʔλʔ͸ΠϯλϥΫςΟϒͳϝσΟΞ
    "EBQUJWF1SPKFDUJPOTζʔϜʹ͋Θͤ౤Ө๏Λม͍͑ͯ͘

    .BQCPYʹΑΔ࣮૷͸εΰ͍

    View Slide

  93. ,-./0,1

    ༨ஊ

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  94. ࣗવݴޠॲཧͰͷՄࢹԽྫ୯ޠϕΫτϧΛ࣍ݩ࡟ݮ͠QSPKFDU͢Δ
    ʮ๺ւಓʯΛ࣍ݩϕΫτϧͰදݱ

    View Slide

  95. ࣗવݴޠॲཧͰͷՄࢹԽྫ୯ޠϕΫτϧΛ࣍ݩ࡟ݮ͠QSPKFDU͢Δ
    ʮ๺ւಓʯΛ࣍ݩϕΫτϧͰදݱ
    5FOTPS#PBSEͷ
    ʮ&NCFEEJOH1SPKFDUPSʯʹΑΔ࣍ݩϓϩοτ

    View Slide

  96. ࣗવݴޠॲཧͰͷՄࢹԽྫ୯ޠϕΫτϧΛ࣍ݩ࡟ݮ͠QSPKFDU͢Δ
    ʮ๺ւಓʯΛ࣍ݩϕΫτϧͰදݱ
    5FOTPS#PBSEͷ
    ʮ&NCFEEJOH1SPKFDUPSʯʹΑΔ࣍ݩϓϩοτ
    ʢʮੈքʯΛʮ஍ਤʯͰཧղ͢ΔΑ͏ʹʣ

    ʮػցʯͷ͜ͱΛʮਓؒʯͱͯ͠ཧղ͍ͨ͠

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  97. ʮΑΓେ͖ͳϞσϧɺଟ͘ͷσʔλʯ
    ۙ೥ʹ͓͚Δͻͱͭͷைྲྀɹɹ
    ਤ 7BTXBOJFUBM
    l"UUFOUJPO*T"MM:PV/FFEz
    IUUQTBSYJWPSHBCT
    ਤ'JHVSF %FWMJOFUBM

    l#&351SFUSBJOJOHPG%FFQ#JEJSFDUJPOBM5SBOTGPSNFSTGPS-BOHVBHF6OEFSTUBOEJOHz
    IUUQTBSYJWPSHBCT

    View Slide

  98. େ͖ͳݴޠϞσϧͷ

    ύϥϝʔλʔ਺

    ॎ࣠ ສ୯Ґ

    図: hisamoto作成


    https://observablehq.com/@sorami/sizes-of-large-language-models

    View Slide

  99. View Slide

  100. View Slide

  101. 高次元科学への誘い:Hiroshi Maruyama's Blog - CNET Japan


    https://japan.cnet.com/blog/maruyama/2019/05/01/entry_30022958/
    ʮߴ࣍ݩՊֶ΁ͷ༠͍ʯʢؙࢁ޺ ʣ

    View Slide

  102. ɹ͜͜Ͱ͍͏ʮཧղʯͱ͸ԿͰ͠ΐ͏͔ɻ

    ͦΕ͸ɺ͋͘·Ͱ΋ʮਓؒʹͱͬͯʯͷཧղͰ͋Γɺ

    ਓؒͷ࣋ͭ஌ੑʹରͯ͠૬ରతͰ͋Δ֓೦Ͱ͋Δ͜ͱʹ

    ஫ҙ͢Δඞཁ͕͋Γ·͢ɻ

    ࢲͨͪΑΓ͸Δ͔ʹਐΜͩ஌ੑͩͬͨΒɺ

    ԯݸͷύϥϝλΛ࣋ͭਂ૚χϡʔϥϧωοτͰ͑͞ɺ

    ࢲ͕ͨͪઢܗճؼࣜΛཧղͰ͖ΔΑ͏ʹཧղͰ͖Δͷ͔΋͠Ε·ͤΜɻ
    ΋͠ʮՊֶʯ͕ීวతͳ΋ͷͰ͋Δͷͩͱ͢Ε͹ɺͦΕ͕ɺ

    ͨ·ͨ·ࠓͷਓؒͷ஌ੑϨϕϧʹറΒΕͯΑ͍΋ͷͰ͠ΐ͏͔ɻ
    ͦͷ੍໿Λղ͖์ͭͷ͕ʮߴ࣍ݩՊֶʯͩͱࢥ͏ͷͰ͢ɻ


    高次元科学への誘い:Hiroshi Maruyama's Blog - CNET Japan


    https://japan.cnet.com/blog/maruyama/2019/05/01/entry_30022958/
    (強調引用者)

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  103. 深層学習は科学に「理解」の放棄を迫るのか?:「高次元科学への誘い」(丸山宏)へのコメント - 重ね描き日記(rmaruy_blogあらため)


    https://rmaruy.hatenablog.com/entry/2019/05/01/164325
    ਂ૚ֶश͸Պֶʹʮཧղʯͷ์غΛഭΔͷ͔ʁʢؙࢁོҰ ʣ

    View Slide

  104. ਓؒͷೝ஌ೳྗͷݶքͷͨΊʹɺߴ࣍ݩͷϞσϧ͸

    ਓؒͷཧղΛ௒͑Δͱ͍͏ͷ͸ͦͷ௨Γͩͱࢥ͍·͢ɻ

    ͨͩɺʮຊ౰ʹਓؒͷཧղྗΛ֦ுͤ͞Δ͜ͱ͸Ͱ͖ͳ͍ͷ͔ʁʯ
    ͱ͍͏ٙ໰͸ཹอ͍ͨ͠Ͱ͢ɻ

    ͔ͨ͠ʹɺਓؒͷ೴ͷϋʔυ΢ΣΞ͸Կສ೥΋มԽ͓ͯ͠Βͣɺ

    ࠓޙ΋ͦͷݟࠐΈ͸͋Γ·ͤΜɻ

    ҰํͰɺਓؒ͸ʮ֓೦ʯΛ࡞ΔೳྗΛ΋͓ͬͯΓɺͨͱ͑͹

    ʮෳૉ਺ฏ໘ʯͱ͍ͬͨ਺ֶత֓೦Λൃ໌͢Δ͜ͱʹΑΓɺ

    ʮཧղʯͷՄೳੑΛ޿͖͛ͯͨ͜ͱ΋ࣄ࣮ͩͱࢥ͏ͷͰ͢ɻ


    (前頁『深層学習は科学に「理解」の放棄を迫るのか?』より引用, 強調引用者)

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  105. ਓؒͷೝ஌ೳྗͷݶքͷͨΊʹɺߴ࣍ݩͷϞσϧ͸

    ਓؒͷཧղΛ௒͑Δͱ͍͏ͷ͸ͦͷ௨Γͩͱࢥ͍·͢ɻ

    ͨͩɺʮຊ౰ʹਓؒͷཧղྗΛ֦ுͤ͞Δ͜ͱ͸Ͱ͖ͳ͍ͷ͔ʁʯ
    ͱ͍͏ٙ໰͸ཹอ͍ͨ͠Ͱ͢ɻ

    ͔ͨ͠ʹɺਓؒͷ೴ͷϋʔυ΢ΣΞ͸Կສ೥΋มԽ͓ͯ͠Βͣɺ

    ࠓޙ΋ͦͷݟࠐΈ͸͋Γ·ͤΜɻ

    ҰํͰɺਓؒ͸ʮ֓೦ʯΛ࡞ΔೳྗΛ΋͓ͬͯΓɺͨͱ͑͹

    ʮෳૉ਺ฏ໘ʯͱ͍ͬͨ਺ֶత֓೦Λൃ໌͢Δ͜ͱʹΑΓɺ

    ʮཧղʯͷՄೳੑΛ޿͖͛ͯͨ͜ͱ΋ࣄ࣮ͩͱࢥ͏ͷͰ͢ɻ


    ˠͦͯ͠զʑ͸ࠓɺ͜Ε·Ͱʹͳ͔ٕͬͨज़ɺ
    ʮίϯϐϡʔλʔʯͱ͍͏ϝλɾϝσΟΞΛ
    खʹ͍ͯ͠Δ
    (前頁『深層学習は科学に「理解」の放棄を迫るのか?』より引用, 強調引用者)

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  106. Media for Thinking the Unthinkable | Bret Victor


    http://worrydream.com/MediaForThinkingTheUnthinkable/

    View Slide


  107. ʮߟ͑ΒΕͳ͍΋ͷΛߟ͑ΔͨΊͷϝσΟΞʯ
    ʢ#SFU7JDUPS ʣ

    Media for Thinking the Unthinkable | Bret Victor


    http://worrydream.com/MediaForThinkingTheUnthinkable/

    View Slide

  108. ৽͍͠ϝσΟΞͰ
    ͜Ε·Ͱݟ͑ͳ͔ͬͨ΋ͷ͕

    Έ͑ΔͶʂ

    View Slide

  109. View Slide