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ARKitのための3D算数

KBOY
August 30, 2018

 ARKitのための3D算数

iOSDC 2018

KBOY

August 30, 2018
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  1. ARKitͷͨΊͷ
    3Dࢉ਺
    KBOY@ے೑ΤϯδχΞ
    2018.8.30@iOSDC 2018

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  2. ࣗݾ঺հ
    ૣҴా͕฼ߍͰ͢

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  3. ے೑ΤϯδχΞͷܦྺ

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  4. ೥݄ ݄ ݄ ೥݄ ೥݄
    Spajam༏ल৆
    ϕετϘσΟδϟύϯग़৔
    ے೑.swift։࠵
    స৬υϥϑτग़ԋ
    ॱ෩ຬൕʂʁ

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  5. ͔ͦ͠͠͏؁͘͸ͳ͍

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  6. ے೑ΤϯδχΞͷ୆಄

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  7. ے೑ΤϯδχΞ
    ઓࠃ࣌୅

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  8. ͦ͏ͩʂARͩʂ

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  9. ೥݄ ݄ ݄ ೥݄ ೥݄
    Spajam༏ल৆
    ϕετϘσΟδϟύϯग़৔
    స৬υϥϑτग़ԋ
    ے೑.swift։࠵

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  10. ৐Δ͔͠ͳ͍
    ͜ͷϏοά΢Σʔϒʹ

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  11. ͱ͍͏͜ͱͰ

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  12. ࠓ೥1݄ʹ
    ARελʔτΞοϓ΁JOIN

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  13. Graffity Inc.
    Ϧʔμʔ

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  14. ͜ΜͳΞϓϦ࡞ͬͯ·͢

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  15. ͱ͍͏͜ͱͰARKitΛ
    ؤுͬͯษڧ͠·ͨ͠

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  16. ͔͠͠
    ͦ͏؁͘͸ͳ͍

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  17. ͜͏͍͏ྫΛ
    ߟ͑ͯΈ·͠ΐ͏

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  18. εΫϦʔϯ্ͷλοϓͨ͠෦෼ͷ
    30cmલʹ
    ඈߦػΛஔ͘

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  19. View Slide

  20. ༨༟ͬ͠ΐʂ

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  21. λοϓδΣενϟʔ͔Β
    x, yΛऔಘ,
    z͸0.3mΛೖΕΕ͹׬੒ʂ

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  22. ݁Ռ

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  23. View Slide

  24. શવग़ͯ͜ͳ͍…

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  25. ཧ૝

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  26. View Slide

  27. ݱ࣮

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  28. View Slide

  29. ΍ͬͺΓ
    ͦ͏؁͘͸ͳ͍

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  30. ͦΜͳ࣌ɺϦʔμʔ͕
    खΛࠩ͠৳΂ͯ͘Εͨ

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  31. 3DϓϩάϥϛϯάΛ
    ษڧ͢Ε͹༨༟ͩΑ

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  32. Ϧʔμʔʂʂ

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  33. ͦͯ͠๻͸

    View Slide

  34. 3Dϓϩάϥϛϯά
    Λษڧͨ͠ɻ

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  35. ษڧʹ࢖ͬͨຊ
    IUUQTBN[OUP.4V.F( IUUQTBN[OUP1,'Z5

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  36. ͱ͍͏͜ͱͰ

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  37. ࠓ೔͸օ͞Μʹ
    Θ͔Γ΍͘͢
    3DϓϩάϥϛϯάΛ
    આ໌͠·͢

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  38. ARKitͷͨΊͷ
    3Dࢉ਺
    KBOY@ے೑ΤϯδχΞ
    2018.8.30@iOSDC 2018

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  39. ࠓ೔ͷΰʔϧ

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  40. εΫϦʔϯ্ͷλοϓͨ͠෦෼ͷ
    30cmલʹ
    ඈߦػΛஔ͘

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  41. View Slide

  42. ษڧ͢Δ͜ͱ
    •࠲ඪܥΛ஌Δ
    •࠲ඪม׵ͷϝιουΛ஌Δ

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  43. ARKitͰ࢖͏࠲ඪܥ

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  44. ࠲ඪ·ͱΊ
    ϫʔϧυ࠲ඪܥ
    ΦϒδΣΫτ࠲ඪܥ
    Χϝϥ࠲ඪܥ
    εΫϦʔϯ࠲ඪܥ
    iPad ProͰॻ͖·ͨ͠ɻ

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  45. ϫʔϧυ࠲ඪܥ
    ͜ΕΑΓେ͖ͳ֎ଆͷ
    ࠲ඪۭؒͰදݱͰ͖ͳ͍

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  46. ΦϒδΣΫτ࠲ඪܥ
    ඈߦػࣗ਎ͷϩʔΧϧ࠲ඪʂ

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  47. Χϝϥ࠲ඪܥ
    ΧϝϥͷϩʔΧϧ࠲ඪ

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  48. Χϝϥ࠲ඪܥ

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  49. εΫϦʔϯ࠲ඪܥ

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  50. εΫϦʔϯ࠲ඪܥ

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  51. ࠲ඪ·ͱΊ
    ϫʔϧυ࠲ඪܥ
    ΦϒδΣΫτ࠲ඪܥ
    Χϝϥ࠲ඪܥ
    εΫϦʔϯ࠲ඪܥ
    iPad ProͰॻ͖·ͨ͠ɻ

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  52. ΰʔϧͷ֬ೝ

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  53. εΫϦʔϯ্ͷλοϓͨ͠෦෼ͷ
    30cmલʹ
    ඈߦػΛஔ͘

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  54. 30cm
    εΫϦʔϯλοϓͷ
    xy࠲ඪऔಘ
    ϫʔϧυ࠲ඪʹม׵ͯ͠
    ͦ͜ʹஔ͘ʂ
    Χϝϥͷ30cmલʹஔ͘
    ϫʔϧυ࠲ඪʹม׵
    ᶃ ᶄ

    εΫϦʔϯ࠲ඪʹม׵

    ᶄ’
    εΫϦʔϯ࠲ඪʹม׵

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  55. ᶃΧϝϥ࠲ඪͰ30cmલʹஔ͘
    ϚΠφε
    30cm

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  56. View Slide

  57. ᶄϫʔϧυ࠲ඪʹม׵

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  58. ͋Δ࠲ඪܥ͔Β
    ͋Δ࠲ඪܥ΁
    ม׵Ͱ͖Δ

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  59. ᶄ’εΫϦʔϯ࠲ඪʹม׵

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  60. ϫʔϧυ࠲ඪܥ→εΫϦʔϯ࠲ඪܥ

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  61. ᶅεΫϦʔϯλοϓͷxy࠲ඪऔಘ

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  62. ᶆϫʔϧυ࠲ඪʹม׵ͯ͠ஔ͘

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  63. εΫϦʔϯ࠲ඪܥ→ϫʔϧυ࠲ඪܥ

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  64. 30cmલ
    λοϓͨ͠Ґஔ
    ม׵
    ม׵

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  65. ͦΕͧΕɺ౎߹ͷ͍͍
    ࠲ඪܥͰܭࢉ͢Δ

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  66. ͪͳΈʹ

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  67. εΫϦʔϯ࠲ඪܥ͚ͩ
    Ͱ΋શͯΛදݱͰ͖Δ

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  68. εΫϦʔϯλοϓͷ
    xy࠲ඪऔಘ
    ϫʔϧυ࠲ඪʹม׵ͯ͠
    ͦ͜ʹஔ͘ʂ
    Χϝϥͷ30cmલʹஔ͘
    ϫʔϧυ࠲ඪʹม׵
    ᶃ ᶄ

    εΫϦʔϯ࠲ඪʹม׵

    ᶄ’
    εΫϦʔϯ࠲ඪʹม׵
    ͜͜ল͚Δ
    30cm

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  69. ͜͜ল͚Δ

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  70. ͬͪ͜ͷํָ͕͡ΌΜʂ

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  71. ͔ͨ͠ʹ

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  72. ͜ͷ୹͍ίʔυͰߦ͚Δ

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  73. View Slide

  74. Ͱ΋

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  75. View Slide

  76. ࣮͸

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  77. ͜ͷ0.996͸
    Χϝϥ࠲ඪܥͷ0.3mͱ
    ಉ͡ҙຯ

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  78. 0.996ͱ͸

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  79. ͜͜Ͱ࠲ඪܥͷ෮श

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  80. 0.0
    1.0
    εΫϦʔϯ࠲ඪܥͷ
    z
    0.001m
    1000m
    Χϝϥ࠲ඪܥͷ
    z

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  81. εΫϦʔϯ࠲ඪܥͷz

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  82. https://developer.apple.com/documentation/scenekit/scnscenerenderer/1522631-unprojectpoint
    εΫϦʔϯ࠲ඪܥͷ
    z͸0.0~1.0

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  83. Χϝϥ࠲ඪܥͷz͸ʁ

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  84. View Slide

  85. View Slide

  86. View Slide

  87. debugͯ͠ΈΔͱ

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  88. View Slide

  89. zNearΛ
    มԽͤͯ͞ΈΑ͏

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  90. View Slide

  91. 0.0
    1.0
    εΫϦʔϯ࠲ඪܥͷ
    z
    0.001m
    1000m
    Χϝϥ࠲ඪܥͷ
    z

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  92. εΫϦʔϯ࠲ඪͷz
    vs
    Χϝϥ࠲ඪͷz

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  93. http://www.alecjacobson.com/weblog/?p=3835
    -0.001
    -1000
    0.996
    screenZ = f(n + cameraZ)/((f − n)cameraZ)
    -0.3
    screenZ
    cameraZ

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  94. screenZ = f(n + cameraZ)/((f − n)cameraZ)
    screenZ = 1000(0.001 + (−0.3))/((1000 − 0.002)(−0.3))
    f = 1000
    n = 0.001
    cameraZ = − 0.3
    screenZ = 0.9966...

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  95. ࣮ʹ໘౗͍͘͞

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  96. ͜͜ল͚Δʂʁ

    View Slide

  97. ඞཁʂ

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  98. ͱ͍͏͜ͱͰ

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  99. ࠲ඪม׵Λۦ࢖ͯ͠

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  100. View Slide

  101. ׬੒ʂ

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  102. ΋͏ͪΐ͍΍ͬͯΈ·͠ΐ͏ʂ

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  103. ඈߦػΛ֦େͨ͠Γɺ
    ճసͤ͞Α͏ʂ

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  104. ֦େɾॖখ

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  105. ճస (SCNVector4)

    ֯౓

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  106. ճస(Euler angle)

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  107. ճస (Euler angle)
    x

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  108. ճస (Euler angle)
    Y

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  109. ճస (Euler angle)
    Z

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  110. x Y Z

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  111. Ҏ্

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  112. ͜͜·Ͱ͕ࢉ਺

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  113. ·ͩ਺ֶ͕͋Γ·͢ɻ

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  114. Ͱ΋

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  115. ࠲ඪͷ֓೦Λཧղͯ͠
    SceneKit΍ARKitΛ
    ࢖͍͜ͳͤΕ͹ྑ͍ɻ

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  116. ਺ֶʹ͍ͭͯ͸QiitaͰɻ

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  117. ARKitͷͨΊͷ
    3D
    ਺ֶ

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  118. ࠂ஌

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  119. Graffity Inc.
    ΤϯδχΞืूதʂ

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  120. ࠷ޙʹ

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  121. ݸਓͰARKitͷಈըڭࡐ࡞੒த

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  122. One More Thing

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  123. ࠓ೥΋΍Γ·͢
    .kt

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  124. ے೑.kt
    w :BIPP-PEHF
    w ೥݄೔

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  125. ͓ΘΓ

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