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空の色を計算してみた/calculate-sky-color
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kohei.okamoto
August 13, 2021
Science
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100
空の色を計算してみた/calculate-sky-color
kohei.okamoto
August 13, 2021
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Transcript
ՆٳΈͷࣗ༝ݚڀ ۭͷ৭ΛܭࢉͰٻΊͯΈΔ 2021/08/13 Ԭຊᕣฏ
ࣗݾհɿԬຊ ᕣฏ • ࠇഎܠͷεϥΠυॳઓͰυΩυΩͯ͠·͢ • େֶԽֶͬͯ·ͨ͠ • લ৬ۚ༥ܥͷγεςϜ࡞ͬͯ·ͨ͠ • ࠓOESͷWebνʔϜͰ։ൃ͍ͯ͠·͢
• goͬͨ͜ͱͳ͍ίϯϓϨοΫεͩͬͨͷͰɺࠓճ͡ΊͯgoΛ ৮ͬͯΈ·ͨ͠ (ͱ͍͍ͭͭɺ͓తʹશવίʔυॻ͍ͯ·ͤΜw)
None
;ͱؾʹͳͬͨ ۭͷ৭ͬͯԿ৭ͩΖ͏ɾɾɾʁ
ͦͦɺۭͬͯͳΜͰݟ͑Δͷʁ • ۭؾத͍͍ͩͨૉͱࢎૉ͔ΒͰ͖͍ͯ·͢ɻ • ૉͱࢎૉ͕ଠཅͷޫΛࢄཚ͠·͢ɻ • ͦͷࢄཚͷΈΛϨΠϦʔࢄཚͱ͍͍·͢ɻ
ͦͦɺۭͬͯͳΜͰݟ͑Δͷʁ • ۭؾத͍͍ͩͨૉͱࢎૉ͔ΒͰ͖͍ͯ·͢ɻ • ૉͱࢎૉ͕ଠཅͷޫΛࢄཚ͠·͢ɻ • ͦͷࢄཚͷΈΛϨΠϦʔࢄཚͱ͍͍·͢ɻ • ͳͷͰɺۭؾ͕ͳ͍ͱۭࠇ͍Ͱ͢ɻ
ࢄཚʹ͍Ζ͍Ζ (ͪΐͬͱઢ) • ϨΠϦʔࢄཚ • ޫͷΑΓࡉཻ͔͍ࢠʹର͢Δࢄཚ • ࠓճͬͪ͜ • ϛʔࢄཚ
• ޫͷΑΓେཻ͖͍ࢠʹର͢Δࢄཚ • લํͷࢄཚͷґଘੑ͕গͳ͍ɻͷͰɺશ෦ͷޫ͕ࢄཚ͞ΕͯӢ ന͘Έ͑·͢ɻ
ࠓճͷΞϓϩʔν 1. ଠཅޫͷR / G / BͷޫͷॏͶ߹Θͤͱͯۙ͠ࣅ͢Δɻ 2. R /
G / BͦΕͧΕࢄཚ͞ΕΔޫͷ૬ରΛܭࢉ͢Δ 3. RGBʹ্هͰٻΊͨ૬ରΛೖྗ͢Δ 4. ্هͱ୯ͷޫΛݟൺ͍͍ͯͩͨͷΛٻΊͯΈΔ
ࠓճͷΞϓϩʔν 1. ଠཅޫͷR / G / BͷޫͷॏͶ߹Θͤͱͯۙ͠ࣅ͢Δɻ 2. R /
G / BͦΕͧΕࢄཚ͞ΕΔޫͷ૬ରΛܭࢉ͢Δ 3. RGBʹ্هͰٻΊͨ૬ରΛೖྗ͢Δ 4. ্هͱ୯ͷޫΛݟൺ͍͍ͯͩͨͷΛٻΊͯΈΔ
RGB͍͍ͩͨ 6 : 7 : 8͘Β͍ɾɾɾʁ ग़యɿhttps://www.fondriest.com/environmental-measurements/
ࠓճͷΞϓϩʔν 1. ଠཅޫͷR / G / BͷޫͷॏͶ߹Θͤͱͯۙ͠ࣅ͢Δɻ 2. R /
G / BͦΕͧΕࢄཚ͞ΕΔޫͷ૬ରΛܭࢉ͢Δ 3. RGBʹ্هͰٻΊͨ૬ରΛೖྗ͢Δ 4. ্هͱ୯ͷޫΛݟൺ͍͍ͯͩͨͷΛٻΊͯΈΔ
I = kN(n − 1)2 λ4 ϨΠϦʔࢄཚʹΑΔࢄཚڧ k : ൺྫఆɺN
: ࢠɺn : ۶ંɺЕ: 
ࠓճ૬ର͕΄͍͠ͷͰɺదʹఆΛ͔͚ͨ type Light struct { Wavelength in t Intensity in
t } func scatteredLight(light Light) Light { return Light{light.Wavelength, light.Intensity << 40 / (light.Wavelength * light.Wavelength * light.Wavelength * light.Wavelength) } }
͜Μͳײ͡Ͱग़ྗͯ͠RGBΛऔಘ red := Light{700, 6 } green := Light{546, 7
} blue := Light{436, 8 } fmt.Println("sky color!!" ) fmt.Println("red: ", scatteredLight(red) ) fmt.Println("green: ", scatteredLight(green) ) fmt.Println("blue: ", scatteredLight(blue))
͜Μͳײ͡Ͱग़ྗͯ͠RGBΛऔಘ red := Light{700, 6 } green := Light{546, 7
} blue := Light{436, 8 } fmt.Println("sky color!!" ) fmt.Println("red: ", scatteredLight(red) ) fmt.Println("green: ", scatteredLight(green) ) fmt.Println("blue: ", scatteredLight(blue))
ࠓճͷΞϓϩʔν 1. ଠཅޫͷR / G / BͷޫͷॏͶ߹Θͤͱͯۙ͠ࣅ͢Δɻ 2. R /
G / BͦΕͧΕࢄཚ͞ΕΔޫͷ૬ରΛܭࢉ͢Δ 3. RGBʹ্هͰٻΊͨ૬ରΛೖྗ͢Δ 4. ্هͱ୯ͷޫΛݟൺ͍͍ͯͩͨͷΛٻΊͯΈΔ
#1B56F3
ࠓճͷΞϓϩʔν 1. ଠཅޫͷR / G / BͷޫͷॏͶ߹Θͤͱͯۙ͠ࣅ͢Δɻ 2. R /
G / BͦΕͧΕࢄཚ͞ΕΔޫͷ૬ରΛܭࢉ͢Δ 3. RGBʹ্هͰٻΊͨ૬ରΛೖྗ͢Δ 4. ্هͱ୯ͷޫΛݟൺ͍͍ͯͩͨͷΛٻΊͯΈΔ
430nm #3D00FF #1B56F3 440nm #0000FF 450nm #0046FF 460nm #007BFF
430nm #3D00FF 440nm #0000FF 450nm #0046FF 460nm #007BFF ͍͍ͩͨ͜Ε͘Β͍ #1B56F3
450nm #0046FF ͍͍ͩͨ͜Ε͘Β͍ #1B56F3
ۭ৭ #89BDDE 450nm #0046FF ͍͍ͩͨ͜Ε͘Β͍ #1B56F3
·ͱΊ • ݁ߏࡶʹܭࢉͯͦ͠ΕͬΆ͍ײ͡ͷ৭ಋग़Ͱ͖ͯײಈɻ • #1B56F3ɺ͍͍ͩͨ450nm • ্ۭͷۭͷ৭݁ߏͦΕͬΆ͍৭ʹͳͬͯΔͷͰɻ • ͪͳΈʹνϦͳͲ͕ଟ͍բΜͰനͬΆ͘ͳΓ·͢ɻ •
͍ͭͰʹ(?) goͷνϡʔτϦΞϧ͜ΕΛػʹͰ͖ͯΑ͔ͬͨɻ #1B56F3