ARKitのための3D算数

4f1a55d79f969b8a75f64ee4bd9a99c1?s=47 KBOY
August 30, 2018
Programming
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2.8k

 ARKitのための3D算数

iOSDC 2018

4f1a55d79f969b8a75f64ee4bd9a99c1?s=128

KBOY

August 30, 2018
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Transcript

  1. 1.

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

  2. 2.

    ࣗݾ঺հ ૣҴా͕฼ߍͰ͢

  3. 3.

    ے೑ΤϯδχΞͷܦྺ

  4. 4.

         ೥݄ ݄ ݄ ೥݄ ೥݄

    Spajam༏ल৆ ϕετϘσΟδϟύϯग़৔ ے೑.swift։࠵ స৬υϥϑτग़ԋ ॱ෩ຬൕʂʁ
  5. 5.

    ͔ͦ͠͠͏؁͘͸ͳ͍

  6. 6.

    ے೑ΤϯδχΞͷ୆಄

  7. 7.

    ے೑ΤϯδχΞ ઓࠃ࣌୅

  8. 8.

    ͦ͏ͩʂARͩʂ

  9. 9.

         ೥݄ ݄ ݄ ೥݄ ೥݄

    Spajam༏ल৆ ϕετϘσΟδϟύϯग़৔ స৬υϥϑτग़ԋ ے೑.swift։࠵
  10. 10.

    ৐Δ͔͠ͳ͍ ͜ͷϏοά΢Σʔϒʹ

  11. 11.

    ͱ͍͏͜ͱͰ

  12. 12.

    ࠓ೥1݄ʹ ARελʔτΞοϓ΁JOIN

  13. 13.

    Graffity Inc. Ϧʔμʔ

  14. 14.

    ͜ΜͳΞϓϦ࡞ͬͯ·͢

  15. 15.

    ͱ͍͏͜ͱͰARKitΛ ؤுͬͯษڧ͠·ͨ͠

  16. 16.

    ͔͠͠ ͦ͏؁͘͸ͳ͍

  17. 17.

    ͜͏͍͏ྫΛ ߟ͑ͯΈ·͠ΐ͏

  18. 18.

    εΫϦʔϯ্ͷλοϓͨ͠෦෼ͷ 30cmલʹ ඈߦػΛஔ͘

  19. 19.
    None
  20. 20.

    ༨༟ͬ͠ΐʂ

  21. 21.

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

  22. 22.

    ݁Ռ

  23. 23.
    None
  24. 24.

    શવग़ͯ͜ͳ͍…

  25. 25.

    ཧ૝

  26. 26.
    None
  27. 27.

    ݱ࣮

  28. 28.
    None
  29. 29.

    ΍ͬͺΓ ͦ͏؁͘͸ͳ͍

  30. 30.

    ͦΜͳ࣌ɺϦʔμʔ͕ खΛࠩ͠৳΂ͯ͘Εͨ

  31. 31.

    3DϓϩάϥϛϯάΛ ษڧ͢Ε͹༨༟ͩΑ

  32. 32.

    Ϧʔμʔʂʂ

  33. 33.

    ͦͯ͠๻͸

  34. 34.

    3Dϓϩάϥϛϯά Λษڧͨ͠ɻ

  35. 35.

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

  36. 36.

    ͱ͍͏͜ͱͰ

  37. 37.

    ࠓ೔͸օ͞Μʹ Θ͔Γ΍͘͢ 3DϓϩάϥϛϯάΛ આ໌͠·͢

  38. 38.

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

  39. 39.

    ࠓ೔ͷΰʔϧ

  40. 40.

    εΫϦʔϯ্ͷλοϓͨ͠෦෼ͷ 30cmલʹ ඈߦػΛஔ͘

  41. 41.
    None
  42. 42.

    ษڧ͢Δ͜ͱ •࠲ඪܥΛ஌Δ •࠲ඪม׵ͷϝιουΛ஌Δ

  43. 43.

    ARKitͰ࢖͏࠲ඪܥ

  44. 44.

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

  45. 45.

    ϫʔϧυ࠲ඪܥ ͜ΕΑΓେ͖ͳ֎ଆͷ ࠲ඪۭؒͰදݱͰ͖ͳ͍

  46. 46.

    ΦϒδΣΫτ࠲ඪܥ ඈߦػࣗ਎ͷϩʔΧϧ࠲ඪʂ

  47. 47.

    Χϝϥ࠲ඪܥ ΧϝϥͷϩʔΧϧ࠲ඪ

  48. 48.

    Χϝϥ࠲ඪܥ

  49. 49.

    εΫϦʔϯ࠲ඪܥ

  50. 50.

    εΫϦʔϯ࠲ඪܥ

  51. 51.

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

  52. 52.

    ΰʔϧͷ֬ೝ

  53. 53.

    εΫϦʔϯ্ͷλοϓͨ͠෦෼ͷ 30cmલʹ ඈߦػΛஔ͘

  54. 54.

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

    εΫϦʔϯ࠲ඪʹม׵ ᶆ ᶄ’ εΫϦʔϯ࠲ඪʹม׵
  55. 55.

    ᶃΧϝϥ࠲ඪͰ30cmલʹஔ͘ ϚΠφε 30cm

  56. 56.
    None
  57. 57.

    ᶄϫʔϧυ࠲ඪʹม׵

  58. 58.

    ͋Δ࠲ඪܥ͔Β ͋Δ࠲ඪܥ΁ ม׵Ͱ͖Δ

  59. 59.

    ᶄ’εΫϦʔϯ࠲ඪʹม׵

  60. 60.

    ϫʔϧυ࠲ඪܥ→εΫϦʔϯ࠲ඪܥ

  61. 61.

    ᶅεΫϦʔϯλοϓͷxy࠲ඪऔಘ

  62. 62.

    ᶆϫʔϧυ࠲ඪʹม׵ͯ͠ஔ͘

  63. 63.

    εΫϦʔϯ࠲ඪܥ→ϫʔϧυ࠲ඪܥ

  64. 64.

    30cmલ λοϓͨ͠Ґஔ ม׵ ม׵

  65. 65.

    ͦΕͧΕɺ౎߹ͷ͍͍ ࠲ඪܥͰܭࢉ͢Δ

  66. 66.

    ͪͳΈʹ

  67. 67.

    εΫϦʔϯ࠲ඪܥ͚ͩ Ͱ΋શͯΛදݱͰ͖Δ

  68. 68.

    εΫϦʔϯλοϓͷ xy࠲ඪऔಘ ϫʔϧυ࠲ඪʹม׵ͯ͠ ͦ͜ʹஔ͘ʂ Χϝϥͷ30cmલʹஔ͘ ϫʔϧυ࠲ඪʹม׵ ᶃ ᶄ ᶅ εΫϦʔϯ࠲ඪʹม׵

    ᶆ ᶄ’ εΫϦʔϯ࠲ඪʹม׵ ͜͜ল͚Δ 30cm
  69. 69.

    ͜͜ল͚Δ

  70. 70.

    ͬͪ͜ͷํָ͕͡ΌΜʂ

  71. 71.

    ͔ͨ͠ʹ

  72. 72.

    ͜ͷ୹͍ίʔυͰߦ͚Δ

  73. 73.
    None
  74. 74.

    Ͱ΋

  75. 75.

    

  76. 76.

    ࣮͸

  77. 77.

    ͜ͷ0.996͸ Χϝϥ࠲ඪܥͷ0.3mͱ ಉ͡ҙຯ

  78. 78.

    0.996ͱ͸

  79. 79.

    ͜͜Ͱ࠲ඪܥͷ෮श

  80. 80.

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

  81. 81.

    εΫϦʔϯ࠲ඪܥͷz

  82. 82.

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

  83. 83.

    Χϝϥ࠲ඪܥͷz͸ʁ

  84. 84.
    None
  85. 85.
    None
  86. 86.
    None
  87. 87.

    debugͯ͠ΈΔͱ

  88. 88.
    None
  89. 89.

    zNearΛ มԽͤͯ͞ΈΑ͏

  90. 90.
    None
  91. 91.

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

  92. 92.

    εΫϦʔϯ࠲ඪͷz vs Χϝϥ࠲ඪͷz

  93. 93.

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

    n)cameraZ) -0.3 screenZ cameraZ
  94. 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...
  95. 95.

    ࣮ʹ໘౗͍͘͞

  96. 96.

    ͜͜ল͚Δʂʁ

  97. 97.

    ඞཁʂ

  98. 98.

    ͱ͍͏͜ͱͰ

  99. 99.

    ࠲ඪม׵Λۦ࢖ͯ͠

  100. 100.
    None
  101. 101.

    ׬੒ʂ

  102. 102.

    ΋͏ͪΐ͍΍ͬͯΈ·͠ΐ͏ʂ

  103. 103.

    ඈߦػΛ֦େͨ͠Γɺ ճసͤ͞Α͏ʂ

  104. 104.

    ֦େɾॖখ

  105. 105.

    ճస (SCNVector4) ࣠ ֯౓

  106. 106.

    ճస(Euler angle)

  107. 107.

    ճస (Euler angle) x

  108. 108.

    ճస (Euler angle) Y

  109. 109.

    ճస (Euler angle) Z

  110. 110.

    x Y Z

  111. 111.

    Ҏ্

  112. 112.

    ͜͜·Ͱ͕ࢉ਺

  113. 113.

    ·ͩ਺ֶ͕͋Γ·͢ɻ

  114. 114.

    Ͱ΋

  115. 115.

    ࠲ඪͷ֓೦Λཧղͯ͠ SceneKit΍ARKitΛ ࢖͍͜ͳͤΕ͹ྑ͍ɻ

  116. 116.

    ਺ֶʹ͍ͭͯ͸QiitaͰɻ

  117. 117.

    ARKitͷͨΊͷ 3D ਺ֶ

  118. 118.

    ࠂ஌

  119. 119.

    Graffity Inc. ΤϯδχΞืूதʂ

  120. 120.

    ࠷ޙʹ

  121. 121.

    ݸਓͰARKitͷಈըڭࡐ࡞੒த

  122. 122.

    One More Thing

  123. 123.

    ࠓ೥΋΍Γ·͢ .kt

  124. 124.

    ے೑.kt w :BIPP-PEHF w ೥݄೔

  125. 125.

    ͓ΘΓ