ARKitのための3D算数

iOSDC 2018

1. ARKitͷͨΊͷ 3Dࢉ਺ KBOY@ے೑ΤϯδχΞ 2018.8.30@iOSDC 2018
2. ࣗݾ঺հ ૣҴా͕฼ߍͰ͢
3. ے೑ΤϯδχΞͷܦྺ
4.      ೥݄ ݄ ݄ ೥݄ ೥݄ Spajam༏ल৆ ϕετϘσΟδϟύϯग़৔ ے೑.swift։࠵ స৬υϥϑτग़ԋ ॱ෩ຬൕʂʁ
5. ͔ͦ͠͠͏؁͘͸ͳ͍
6. ے೑ΤϯδχΞͷ୆಄
7. ے೑ΤϯδχΞ
   ઓࠃ࣌୅
8. ͦ͏ͩʂARͩʂ
9.      ೥݄ ݄ ݄ ೥݄ ೥݄ Spajam༏ल৆ ϕετϘσΟδϟύϯग़৔ స৬υϥϑτग़ԋ ے೑.swift։࠵
10. ৐Δ͔͠ͳ͍ ͜ͷϏοά΢Σʔϒʹ
11. ͱ͍͏͜ͱͰ
12. ࠓ೥1݄ʹ ARελʔτΞοϓ΁JOIN
13. Graffity Inc. Ϧʔμʔ
14. ͜ΜͳΞϓϦ࡞ͬͯ·͢
15. ͱ͍͏͜ͱͰARKitΛ ؤுͬͯษڧ͠·ͨ͠
16. ͔͠͠ ͦ͏؁͘͸ͳ͍
17. ͜͏͍͏ྫΛ ߟ͑ͯΈ·͠ΐ͏
18. εΫϦʔϯ্ͷλοϓͨ͠෦෼ͷ 30cmલʹ ඈߦػΛஔ͘
20. ༨༟ͬ͠ΐʂ
21. λοϓδΣενϟʔ͔Β x, yΛऔಘ, z͸0.3mΛೖΕΕ͹׬੒ʂ
22. ݁Ռ
24. શવग़ͯ͜ͳ͍…
25. ཧ૝
27. ݱ࣮
29. ΍ͬͺΓ ͦ͏؁͘͸ͳ͍
30. ͦΜͳ࣌ɺϦʔμʔ͕ खΛࠩ͠৳΂ͯ͘Εͨ
31. 3DϓϩάϥϛϯάΛ ษڧ͢Ε͹༨༟ͩΑ
32. Ϧʔμʔʂʂ
33. ͦͯ͠๻͸
34. 3Dϓϩάϥϛϯά Λษڧͨ͠ɻ
35. ษڧʹ࢖ͬͨຊ IUUQTBN[OUP.4V.F( IUUQTBN[OUP1,'Z5
36. ͱ͍͏͜ͱͰ
37. ࠓ೔͸օ͞Μʹ Θ͔Γ΍͘͢ 3DϓϩάϥϛϯάΛ આ໌͠·͢
38. ARKitͷͨΊͷ 3Dࢉ਺ KBOY@ے೑ΤϯδχΞ 2018.8.30@iOSDC 2018
39. ࠓ೔ͷΰʔϧ
40. εΫϦʔϯ্ͷλοϓͨ͠෦෼ͷ 30cmલʹ ඈߦػΛஔ͘
42. ษڧ͢Δ͜ͱ •࠲ඪܥΛ஌Δ •࠲ඪม׵ͷϝιουΛ஌Δ
43. ARKitͰ࢖͏࠲ඪܥ
44. ࠲ඪ·ͱΊ ϫʔϧυ࠲ඪܥ ΦϒδΣΫτ࠲ඪܥ Χϝϥ࠲ඪܥ εΫϦʔϯ࠲ඪܥ iPad ProͰॻ͖·ͨ͠ɻ
45. ϫʔϧυ࠲ඪܥ ͜ΕΑΓେ͖ͳ֎ଆͷ ࠲ඪۭؒͰදݱͰ͖ͳ͍
46. ΦϒδΣΫτ࠲ඪܥ ඈߦػࣗ਎ͷϩʔΧϧ࠲ඪʂ
47. Χϝϥ࠲ඪܥ ΧϝϥͷϩʔΧϧ࠲ඪ
48. Χϝϥ࠲ඪܥ
49. εΫϦʔϯ࠲ඪܥ
50. εΫϦʔϯ࠲ඪܥ
51. ࠲ඪ·ͱΊ ϫʔϧυ࠲ඪܥ ΦϒδΣΫτ࠲ඪܥ Χϝϥ࠲ඪܥ εΫϦʔϯ࠲ඪܥ iPad ProͰॻ͖·ͨ͠ɻ
52. ΰʔϧͷ֬ೝ
53. εΫϦʔϯ্ͷλοϓͨ͠෦෼ͷ 30cmલʹ ඈߦػΛஔ͘
54. 30cm εΫϦʔϯλοϓͷ xy࠲ඪऔಘ ϫʔϧυ࠲ඪʹม׵ͯ͠ ͦ͜ʹஔ͘ʂ Χϝϥͷ30cmલʹஔ͘ ϫʔϧυ࠲ඪʹม׵ ᶃ ᶄ ᶅ εΫϦʔϯ࠲ඪʹม׵ ᶆ ᶄ’ εΫϦʔϯ࠲ඪʹม׵
55. ᶃΧϝϥ࠲ඪͰ30cmલʹஔ͘ ϚΠφε 30cm
57. ᶄϫʔϧυ࠲ඪʹม׵
58. ͋Δ࠲ඪܥ͔Β ͋Δ࠲ඪܥ΁ ม׵Ͱ͖Δ
59. ᶄ’εΫϦʔϯ࠲ඪʹม׵
60. ϫʔϧυ࠲ඪܥ→εΫϦʔϯ࠲ඪܥ
61. ᶅεΫϦʔϯλοϓͷxy࠲ඪऔಘ
62. ᶆϫʔϧυ࠲ඪʹม׵ͯ͠ஔ͘
63. εΫϦʔϯ࠲ඪܥ→ϫʔϧυ࠲ඪܥ
64. 30cmલ λοϓͨ͠Ґஔ ม׵ ม׵
65. ͦΕͧΕɺ౎߹ͷ͍͍ ࠲ඪܥͰܭࢉ͢Δ
66. ͪͳΈʹ
67. εΫϦʔϯ࠲ඪܥ͚ͩ Ͱ΋શͯΛදݱͰ͖Δ
68. εΫϦʔϯλοϓͷ xy࠲ඪऔಘ ϫʔϧυ࠲ඪʹม׵ͯ͠ ͦ͜ʹஔ͘ʂ Χϝϥͷ30cmલʹஔ͘ ϫʔϧυ࠲ඪʹม׵ ᶃ ᶄ ᶅ εΫϦʔϯ࠲ඪʹม׵ ᶆ ᶄ’ εΫϦʔϯ࠲ඪʹม׵ ͜͜ল͚Δ 30cm
69. ͜͜ল͚Δ
70. ͬͪ͜ͷํָ͕͡ΌΜʂ
71. ͔ͨ͠ʹ
72. ͜ͷ୹͍ίʔυͰߦ͚Δ
74. Ͱ΋
75. 
76. ࣮͸
77. ͜ͷ0.996͸ Χϝϥ࠲ඪܥͷ0.3mͱ ಉ͡ҙຯ
78. 0.996ͱ͸
79. ͜͜Ͱ࠲ඪܥͷ෮श
80. 0.0 1.0 εΫϦʔϯ࠲ඪܥͷ z 0.001m 1000m Χϝϥ࠲ඪܥͷ z
81. εΫϦʔϯ࠲ඪܥͷz
82. https://developer.apple.com/documentation/scenekit/scnscenerenderer/1522631-unprojectpoint εΫϦʔϯ࠲ඪܥͷ z͸0.0~1.0
83. Χϝϥ࠲ඪܥͷz͸ʁ
87. debugͯ͠ΈΔͱ
89. zNearΛ มԽͤͯ͞ΈΑ͏
91. 0.0 1.0 εΫϦʔϯ࠲ඪܥͷ z 0.001m 1000m Χϝϥ࠲ඪܥͷ z
92. εΫϦʔϯ࠲ඪͷz vs Χϝϥ࠲ඪͷz
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. 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. ࣮ʹ໘౗͍͘͞
96. ͜͜ল͚Δʂʁ
97. ඞཁʂ
98. ͱ͍͏͜ͱͰ
99. ࠲ඪม׵Λۦ࢖ͯ͠
101. ׬੒ʂ
102. ΋͏ͪΐ͍΍ͬͯΈ·͠ΐ͏ʂ
103. ඈߦػΛ֦େͨ͠Γɺ ճసͤ͞Α͏ʂ
104. ֦େɾॖখ
105. ճస (SCNVector4) ࣠ ֯౓
106. ճస(Euler angle)
107. ճస (Euler angle) x
108. ճస (Euler angle) Y
109. ճస (Euler angle) Z
110. x Y Z
111. Ҏ্
112. ͜͜·Ͱ͕ࢉ਺
113. ·ͩ਺ֶ͕͋Γ·͢ɻ
114. Ͱ΋
115. ࠲ඪͷ֓೦Λཧղͯ͠ SceneKit΍ARKitΛ ࢖͍͜ͳͤΕ͹ྑ͍ɻ
116. ਺ֶʹ͍ͭͯ͸QiitaͰɻ
117. ARKitͷͨΊͷ 3D ਺ֶ
118. ࠂ஌
119. Graffity Inc. ΤϯδχΞืूதʂ
120. ࠷ޙʹ
121. ݸਓͰARKitͷಈըڭࡐ࡞੒த
122. One More Thing
123. ࠓ೥΋΍Γ·͢ .kt
124. ے೑.kt w :BIPP
     -PEHF
     w ೥݄೔
125. ͓ΘΓ