• 検索結果がありません。

画像処理を利用した自動レリーフ製作システムの検討

N/A
N/A
Protected

Academic year: 2021

シェア "画像処理を利用した自動レリーフ製作システムの検討"

Copied!
8
0
0

読み込み中.... (全文を見る)

全文

(1)

↹௝ಣℂࠍ೑↪ߒߚ⥄േ࡟࡝࡯ࡈ⵾૞ࠪࠬ࠹ࡓߩᬌ⸛

 ૒⮮ ሹ੫

㧖 

㐿  ⼾

㧖㧖 

↰ਛ ⵨৻

㧖㧖㧖

ችᧄ ᙗ㓉

㧖㧖㧖㧖

Investigation of Automatic Relief Manufacturing System Using Image Processing

Kosuke SATO㧖, Yutaka HIRAKI㧖㧖, Yuichi TANAKA㧖㧖㧖, Noritaka MIYAMOTO㧖㧖㧖㧖

Image processing technology has been utilized for the inspection of products or the positioning system in the factory. But recently, the tendency to use the technology for general products has become prominent. One example of such a technology is fingerprint authentication or facial recognition. This study attempts to develop the automatic relief manufacturing system using image data. This system outputs a point cloud data generated from brightness value in image, and CAD data of relief is created by this point cloud data using 3D-CAD system. And then, relief is processed by the machine tool using created 3D-CAD data. In this study, we could confirm the basic process of the relief manufacturing and obtain the trial products. But, the reliefs have not reached the necessarily perfection. So, we are going to improve the system including image processing methods.

ࠠ࡯ࡢ࡯࠼㧦࡟࡝࡯ࡈടᎿ㧘↹௝ಣℂ㧘㧟D-CAD ࠪࠬ࠹ࡓ

Keywords㧦relief manufacturing , image processing, 3D-CAD System

㧝 ߪߓ߼ߦ ᧄ⎇ⓥߢߪ㧘↹௝࠺࡯࠲ࠍ↪޿ߡ⥄േ⊛ߦ࡟࡝࡯ࡈടᎿ ࠍⴕ߁ࠪࠬ࠹ࡓߩ㐿⊒ࠍ߼ߑߒߡ޿ࠆ㧚వߦ㧘ޟ3D-CAD ࠪ ࠬ࠹ࡓࠍ೑↪ߒߚ⥄േ࡟࡝࡯ࡈ⵾૞ߩᬌ⸛ޠ1)ߣߒߡ㧘ߘߩ ࠪࠬ࠹ࡓߩ᭎ⷐࠍႎ๔ߒߚ߇㧘ߎߎߢߪᧄࠪࠬ࠹ࡓߩ↹௝ ಣℂㇱಽࠍਛᔃߦ㧘ߘߩ⃻⁁ࠍႎ๔ߔࠆ㧚 ࡟࡝࡯ࡈߪ㧘ฎߊ߆ࠄੱ㑆ߩᚻ૞ࠅߢ⵾૞ߐࠇߡ߈ߡ޿ ࠆ߇㧘ቢోߥ┙૕௝ߣߪ⇣ߥࠅ㧘⁛⥄ߩಳಲ⴫⃻߇ᔅⷐߣ ߥࠆ㧚ᧄ⎇ⓥߢߪ㧘↹௝ಣℂᛛⴚߦࠃߞߡ㧘৻⥸⊛ߥ౮⌀ ↹௝߆ࠄ࡟࡝࡯ࡈ⵾૞ߦᔅⷐߥ․ᓽࠍขࠅ಴ߒ㧘⥄േ⊛ߦ ਃᰴర࠺࡯࠲ࠍ૞ᚑߒ㧘ߎࠇࠍ3D-CAD ࠪࠬ࠹ࡓ߿ CAM ࠪ ࠬ࠹ࡓࠍᵴ↪ߔࠆߎߣߢ㧘ࡑࠪ࠾ࡦࠣ࠮ࡦ࠲╬ߦࠃࠆ⥄േ ടᎿࠍታ⃻ߔࠆߎߣࠍ⋡ᮡߣߒߡ޿ࠆ㧚ߣߊߦ㧘ᔅⷐߥ↹ ௝ಣℂᛛⴚࠍ㐿⊒࡮ᔕ↪ߔࠆߎߣߢ㧘ੱ㑆ߩᚻࠍⷐߒߥ޿ ⥄േ࡟࡝࡯ࡈടᎿࠪࠬ࠹ࡓ߇㐿⊒ߢ߈ࠆߣ⠨߃ߡ޿ࠆ㧚 ᧄ⎇ⓥߢߪ㧘↹௝࠺࡯࠲ߩขࠅㄟߺ㧘↹௝ಣℂ㧘ὐ⟲࠺ ࡯࠲ߩ૞ᚑ㧘଻ሽࠍMicrosoft Visual Basic ࠍ૶ߞߡ૞ᚑߒߚ㧚 ߹ߚ㧘↹௝ಣℂࡊࡠࠣ࡜ࡓߦࠃߞߡ૞ᚑߒߚὐ⟲࠺࡯࠲ߩ ⺒ㄟߺߣടᎿ࠺࡯࠲ൻ╬ߪ3D-CAD ࠪࠬ࠹ࡓ SolidWorks ࠍ ૶↪ߒߚ㧚ߘߒߡ㧘ታ㓙ߩ࡟࡝࡯ࡈ૞ᚑߦߪ3D ࡊ࡝ࡦ࠲߅ ࠃ߮ࡑࠪ࠾ࡦࠣ࠮ࡦ࠲ࠍ೑↪ߒߚ㧚 㧞 ࡟࡝࡯ࡈടᎿߦߟ޿ߡ  ࡟࡝࡯ࡈߣߪ㧘৻ᨎߩ᧼ߦᓂࠅㄟߺ߿㜞ߐߩ㆑޿ߥߤߩ ಳಲࠍਈ߃ߡ┙૕⊛ߦ⴫⃻ߔࠆᶋᓂࠅ⚦Ꮏߩߎߣߢ޽ࠆ2) ᓂೞߩ৻⒳ߢ޽ࠅ㧘ᑪ‛ߩⵝ㘼ຠߣߒߡ⊒ዷߒ㧘࠼ࠕ߿ო 㕙ߥߤߦ޽ߒࠄࠊࠇߡ޿ࠆ߽ߩ߽ᄙ޿㧚ᓂೞߢߪ޽ࠆ߇㧘 ቢోߥਃᰴర⊛ߥᓂ႟௝ߣߪ⇣ߥࠅ㧘ੑᰴర⊛ߥ⛗↹ߦㄭ ޿㧘ੱᎿ⊛ߥടᎿᛛⴚ߇ᔅⷐߣߐࠇࠆ㧚ታ㓙ߩ࡟࡝࡯ࡈߩ ଀ࠍ㧘࿑  ߦ␜ߔ㧚 ࿑ߩࠃ߁ߦ㧘࡟࡝࡯ࡈߦߪ㧘㜞ૐᏅ߇ᄢ߈ߊ┙૕⊛ߢᓂ ႟௝ߦㄭ޿ࡂࠗ࡟࡝࡯ࡈߣ㧘᧼ߦߏߊᵻߊ㧔்ߩࠃ߁ߦ㧕 ᓂࠅߎߺ㧘⛗↹⊛ߥ⴫⃻ࠍߔࠆࡠ࡯࡟࡝࡯ࡈߣ߇޽ࠆ㧚ਛ 㑆⊛ߥ߽ߩ߽޽ࠆ߇㧘ࡠ࡯࡟࡝࡯ࡈߪੑᰴర⊛ߥ⛗↹ߦㄭ ޿ᶋ߈ᓂࠅߢ޽ࠅ㧘ߎࠇࠄߩ࡟࡝࡯ࡈ⵾૞ߦ߅޿ߡߪ㧘ਃ ᰴర⊛ߥᖱႎࠍੑᰴర⊛ߥ⛗↹⴫⃻ߦᄌ឵ߒߡ޿ߊߚ߼ߩ ․ᱶߥ⵾૞ᛛᴺ߇ᔅⷐߣߥࠆ㧚ᧄ⎇ⓥߢߪ㧘ߎ߁ߒߚ⥄േ ⊛ߥ࡟࡝࡯ࡈ⵾૞ࠍน⢻ߣߔࠆࠪࠬ࠹ࡓߩ㐿⊒ࠍ߼ߑߔ㧚   C㧕ࡠ࡯࡟࡝࡯ࡈ      D㧕ࡂࠗ࡟࡝࡯ࡈ  ࿑ 㧚৻⥸⊛ߥ࡟࡝࡯ࡈߩ଀   * ኾ᡹⑼ ↢↥ࠪࠬ࠹ࡓᎿቇኾ᡹㧔⃻㧦ᩣᑼળ␠ࡑ࠷࠳㧕 ** ࿾ၞࠗࡁࡌ࡯࡚ࠪࡦ࠮ࡦ࠲࡯  *** ᯏ᪾⍮⢻ࠪࠬ࠹ࡓᎿቇ⑼  **** ᛛⴚ࠮ࡦ࠲࡯ ޥ866-8501 ᾢᧄ⋵౎ઍᏒᐔጊᣂ↸ 2627

Dept. of Mechanical and Intelligent Systems Engineering, 2627 Hirayama, Yatsushiro-shi, Kumamoto, Japan 866-8501

(2)

↹௝ಣℂࠍ೑↪ߒߚ⥄േ࡟࡝࡯ࡈ⵾૞ࠪࠬ࠹ࡓߩᬌ⸛㧔૒⮮߶߆㧕 㧟⥄േ࡟࡝࡯ࡈ⵾૞ࠪࠬ࠹ࡓ  ߎߎߢߪࠪࠬ࠹ࡓ૞ᚑߩߚ߼ߩၮᧄ⊛ߥⵝ⟎߿࠰ࡈ࠻࠙ ࠚࠕ╬ߩ᭎ⷐࠍ␜ߔ㧚  8KUWCN$CUKE ᧄ⎇ⓥߢߪ㧘↹௝߆ࠄ࡟࡝࡯ࡈടᎿ↪ߩਃᰴర࠺࡯࠲ࠍ ૞ᚑߔࠆߚ߼㧘Microsoft ␠ߩ Visual Basic ࠍ૶↪ߒߚ㧚

Visual Basic ߪ 㧘 Windows ะ ߌ ߦ 㐿 ⊒ ߐ ࠇ ߡ ߅ ࠅ 㧘 Windoows ਄ߢߩ↹௝ߩขࠅᛒ޿߇◲නߢ޽ࠆ㧚ᧄ⎇ⓥߢߪ㧘 ↹௝ౝߩ↹⚛ߏߣߩಣℂߩ㜞ㅦൻߩߚ߼㧘↹௝ಣℂ↪ߩ Windows API 㑐ᢙࠍ೑↪ߒ㧘ࡊࡠࠣ࡜ࡓߩ㜞ㅦൻࠍ࿑ߞߚ㧚  &%#& ࠪࠬ࠹ࡓ ὐ⟲࠺࡯࠲ߩ⺒ㄟߺ㧘ࡔ࠶ࠪࡘൻࠨ࡯ࡈࠚࠬൻ࡮࠰࡝࠶ ࠼ ൻ ࡮ ਛ 㑆 ࡈ ࠔ ࠗ ࡞ ߩ ૞ ᚑ ߥ ߤ ߦ ߟ ޿ ߡ ߪ 㧘Dassault Systèmes SolidWorks Corporation ⵾ SolidWorks ࠍ೑↪ߒߚ㧚 SolidWorks ߪ㧘ࡕ࠺࡜࡯ߣߒߡߩᯏ⢻ߩ߶߆ߦ㧘࡝ࡃ࡯ࠬࠛ ࡦࠫ࠾ࠕ࡝ࡦࠣߥߤߢ೑↪ߐࠇࠆ 3 ᰴర࠺࡯࠲ߩ⺒ߺขࠅ ߥߤࠍⴕ߁Scan to 3D ᯏ⢻߽஻߃ߡ߅ࠅ㧘ታ‛ߩ⵾ຠ߆ࠄਃ ᰴర᷹ቯᯏߦࠃߞߡขࠅㄟࠎߛὐ⟲࠺࡯࠲ࠍࡔ࠶ࠪࡘൻ࡮ ࠨ࡯ࡈࠚࠬൻ࡮࠰࡝࠶࠼ൻߔࠆߎߣ߇น⢻ߢ޽ࠆ㧚߹ߚ㧘 ᭽ޘߥਃᰴరࡈࠔࠗ࡞ࡈࠜ࡯ࡑ࠶࠻㧔XYZ㧘TXT㧘ASC㧘 STL㧘IGES㧘VDA…㧕ߦ߽ኻᔕߒߡ޿ࠆ3) ࿑2 ߦ㧘SolidWorks ߩേ૞↹㕙ࠍ␜ߔ㧚 & ࡊ࡝ࡦ࠲ ᧄ ࠪ ࠬ ࠹ ࡓ ߢ ߩ ࡟ ࡝ ࡯ ࡈ ⵾ ૞ ߩ ᣇ ᴺ ߩ ৻ ߟ ߣ ߒ ߡ STRATASYS ␠⵾ߩਃᰴరㅧᒻᯏ(3D ࡊ࡝ࡦ࠲) Dimension BST 768 ࠍ૶↪ߒߚ㧚Dimension ߪ㧘CAD ࠺࡯࠲ࠍ↪޿ߡࡕ ࠺࡞ࠍਃᰴర(┙૕)ߢㅧᒻߔࠆࡊ࡝ࡦ࠲ߢ޽ࠆ㧚ㅧᒻᣇᴺߪ PC ߢ೙ᓮߐࠇߚ኿಴ࡋ࠶࠼߆ࠄ㧘2 ⒳㧔ࡕ࠺࡞᧚ߣࠨࡐ࡯ ࠻᧚㧕ߩṁⲢߒߚABS ᮸⢽ࠍⓍጀߔࠆߎߣߢㅧᒻߐࠇࠆ㧚 ㅧᒻ⚳ੌᓟߪ㧘ࠨࡐ࡯࠻᧚ࠍขࠅ㒰߈૶↪น⢻ߣߥࠆ㧚ㅧ ᒻߩ㓙ߦౝㇱ᭴ㅧࠍsparse ߣ solid-normal ߩ 2 ⒳㘃߆ࠄㆬᛯ ߔࠆߎߣ߇น⢻ߢ޽ࠆ4)㧚࿑3 ߦߘߩᄖⷰࠍ␜ߔ㧚 a) ઀᭽

࡮ㅧᒻᣇᑼ㧦ᾲṁ⸃Ⓧጀᴺ 㧔Fused Deposition Modeling ᣇᑼ㧕 ࡮ㅧᒻࡇ࠶࠴㧦0.330mm㧘0.254mm ࡮ㅧᒻน⢻ኸᴺ㧦203(W)×203(D)×305(H)mm ࡮ࡕ࠺࡞᧚ᢱ㧦ABS ᮸⢽ b) Catalyst EX  Catalyst EX ߪ Dimension ߩઃዻ࠰ࡈ࠻ߢ STL ᒻᑼߩ࠺࡯ ࠲ࠍPC ߆ࠄ Dimension ߦォㅍߔࠆ࠰ࡈ࠻࠙ࠚࠕߢ޽ࠆ㧚ࠬ ࡜ࠗࠬࡇ࠶࠴㧘ࠬࠤ࡯࡞㧘ౝㇱ᭴ㅧߥߤߩ⸳ቯࠍⴕ߁ߎߣ ߇ߢ߈㧘ㅧᒻߦ૶↪ߔࠆࡕ࠺࡞᧚߿ࠨࡐ࡯࠻᧚ߩ㊂߿ㅧᒻ ᤨ㑆ߥߤߩ⸘▚߽ⴕ߃ࠆ㧚SolidWorks ߢ૞ᚑߒߚ 3D ࡕ࠺࡞ ࠍSTL ᒻᑼߢ଻ሽߔࠆߎߣߢ㧘Dimension ࠍ૶↪ߒߚㅧᒻ߇ น⢻ߦߥࠆ㧚  ࡑࠪ࠾ࡦࠣ࠮ࡦ࠲  ࡑࠪ࠾ࡦࠣ࠮ࡦ࠲ߣߪ㧘⥄േᎿౕ੤឵⢻ജ߇޽ࠅ㧘Ꮏౕ ࠍ࿁ォߐߖߡടᎿߔࠆᄙᯏ⢻ಾ೥ടᎿ NC Ꮏ૞ᯏ᪾(ో☨Ꮏ ૞ᯏ᪾ቇળ)ߩߎߣߢ޽ࠆ㧚ᧄ⎇ⓥߢߪ㧘ᩣᑼળ␠᫪♖ᯏ⵾ ૞ᚲ⵾┙ᒻࡑࠪ࠾ࡦࠣ࠮ࡦ࠲NV5000 A/40 ࠍ೑↪ߒߚ5) ࿑4 ߦ㧘ߘߩᄖⷰࠍ␜ߔ㧚  ࡑࠪ࠾ࡦࠣ࠮ࡦ࠲ NV5000A/40 ઀᭽ ࡮⒖േ㊂ X㧦800mm ˜ Y㧦510mm ˜ Z㧦510mm ࡮࠹࡯ࡉ࡞૞ᬺ㕙ߩᄢ߈ߐ 㧦1100×600mm ࡮ਥゲᦨ㜞࿁ォㅦᐲ 㧦12000min-1 ࡮Ꮏౕ෼⚊ᧄᢙ 㧦30 ᧄ CAM ࠰ࡈ࠻࠙ࠚࠕ

 CAM ࠰ࡈ࠻࠙ࠚࠕߦߪ MecSoft ␠⵾ Visual Mill ࠍ૶↪ߒ ߚ㧚Visual Mill ߪ㧘㊄ဳ㧘ㇱຠ㧘ᴦౕ㧘ᧁဳ߿ᧁᎿㇱຠ㧘⹜ ૞ㇱຠߥߤ᏷ᐢ޿ᯏ᪾ടᎿߦኻᔕߔࠆ CAM ࠰ࡈ࠻࠙ࠚࠕ ߢ޽ࠆ㧚ᧄ⎇ⓥߢߪ㧘ࡑࠪ࠾ࡦࠣ࠮ࡦ࠲ߢߩടᎿ᧦ઙ⸳ቯ㧘 ࠷࡯࡞ࡄࠬߩ૞ᚑ㧘ࠪࡒࡘ࡟࡯࡚ࠪࡦߥߤࠍⴕߞߚ㧚 ࿑ 5QNKF9QTMU ߩേ૞↹㕙     ࿑ & ࡊ࡝ࡦ࠲     ࿑ ࡑࠪ࠾ࡦࠣ࠮ࡦ࠲

(3)

C .GPPC ↹௝ D 㗻౮⌀↹௝ ࿑ ࡟࡝࡯ࡈ⵾૞ߦ૶↪ߒߚ↹௝ 㧠↹௝ಣℂࡊࡠࠣ࡜ࡓ  ੹࿁ߩ⎇ⓥߢߪ㧘VisualBasic ߦࠃࠅ૞ᚑߒߚࡊࡠࠣ࡜ࡓ ߦࠃߞߡ↹௝࠺࡯࠲߆ࠄടᎿ࠺࡯࠲߳ߩᄌ឵ࠍⴕߞߚ㧚ᧄ ࡊࡠࠣ࡜ࡓߢ⺒ߺㄟ߻࠺࡯࠲ߪ JPEG ߣࡆ࠶࠻ࡑ࠶ࡊߩੑ ⒳㘃ߢ޽ࠆ㧚  ੹࿁ߩᬌ⸛ߢߪ㧘ᦨೋ㧘↹௝ಣℂߥߤߩಽ㊁ߢᮡḰ↹௝ ߣߒߡᄙߊ૶ࠊࠇߡ޿ࠆޟLenna ↹௝ޠࠍ૶↪ߒߡ㧘࡟࡝࡯ ࡈ⵾૞ᚻᴺߩࡊࡠ࠮ࠬߩ⏕⹺ࠍⴕߞߚ㧚ߘߩᓟ㧘ታ㓙ߦࠞ ࡔ࡜ߢ᠟ᓇߒߚੱߩ㗻౮⌀ߩ↹௝ࠍ↪޿ߡᧄࠪࠬ࠹ࡓ߇᦭ ല߆ࠍᬌ⸛ߒߚ㧚࿑5 ߦ੹࿁ᬌ⸛ߒߚ Lenna ↹௝ߣ㗻౮⌀ ↹௝ࠍ␜ߔ㧚   ࠺ࠫ࠲࡞↹௝ಣℂ  ࠺ࠫ࠲࡞↹௝ߪੑᰴరߩᐔ㕙਄ߦᦠ߆ࠇߚỚ᷆ߩᮨ᭽ߣ ⠨߃ࠆߎߣ߇ߢ߈㧘ὐ(x,y)ߩ㑐ᢙߢ޽ࠆੑᰴరାภ f(x,y)ߣ ⴫⃻ߐࠇࠆ㧚ߐࠄߦࠞ࡜࡯↹௝ߪ⿒㧔red㧕㧘✛㧔green㧕㧘㕍 㧔blue㧕ߩశߩਃේ⦡㧔R,G,B㧕ߦࠃߞߡ⴫ߐࠇࠆ㧚  ↹௝ಣℂߢ৻⥸⊛ߦ↪޿ࠄࠇࠆಣℂᚻᴺ6) ߪ㧘࿑6 ߩ⎕ ✢ߢ␜ߔࠃ߁ߦᵈ⋡↹⚛(i,j)ࠍ฽߼ߚㄭறࠍኻ⽎ߣߒߡಣ ℂߔࠆ႐ว㧔ㄭறಣℂ㧕ߣᵈ⋡↹⚛ߩߺࠍಣℂߔࠆ႐ว㧔ὐ ಣℂ㧕㧘ో↹⚛ߩᖱႎࠍኻ⽎ߦಣℂߔࠆ႐ว㧔ᄢዪಣℂ㧕߇ ޽ࠆ㧚ᧄ⎇ⓥߢߪ㧘ࠛ࠶ࠫ᛽಴ಣℂߢㄭற㧥↹⚛ߩಣℂࠍ ᛒ޿㧘ࠣ࡟࡯ࠬࠤ࡯࡞㧘ੑ୯ൻߢὐಣℂࠍ↪޿ߚ㧚એਅߦ ᧄ⎇ⓥߢ૶↪ߒߚਥߥ↹௝ಣℂߦߟ޿ߡ␜ߔ7)  ࠣ࡟࡯ࠬࠤ࡯࡞ൻ  ᧄ⎇ⓥߢߪ㧘ࠞ࡜࡯↹௝߆ࠄขᓧߒߚRGB ߩノᐲ୯ߦ㧘 એਅߩᑼࠍㆡ↪ߒߡ㧘⊕㤥ノᐲ୯Y ߦᄌ឵ߒ㧘ࠣ࡟࡯ࠬࠤ ࡯࡞↹௝ࠍᓧߚ㧚  Y = 0.299 R + 0.587 G + 0.114 B ᑼਛߩR㧘G㧘B ߪߘࠇߙࠇ⿒㧘✛㧘㕍ߩノᐲ୯ࠍ⴫ߒߡ޿ ࠆ㧚ノᐲ୯Y ߇㜞޿߶ߤ⊕ߦㄭ޿↹⚛㧘ノᐲ୯߇ૐ޿߶ߤ 㤥ߦㄭ޿↹⚛ߣߥࠆ8)㧚 ੑ୯ൻ  ኻ⽎↹⚛ߩノᐲ୯ߦߟ޿ߡ㧘ߘߩ୯ߣ⸳ቯߒߚ㑣୯ߣࠍ Ყセߒߡ㤥㧔0㧕ߣ⊕㧔255㧕ߩߺߩノᐲ୯ߦᄌ឵ߔࠆߎߣ ࠍੑ୯ൻߣ޿߁9)㧚㑣୯ࠍ⸳ቯߔࠆᣇᴺߪ޿ߊߟ߆޽ࠆ߇㧘 ᧄࡊࡠࠣ࡜ࡓߢߪ㧘ノᐲ୯ߩࡅࠬ࠻ࠣ࡜ࡓࠃࠅ㑣୯ࠍㆬቯ ߔࠆ࿕ቯ㑣୯ಣℂߣ㧘್೎ಽᨆᴺߦࠃࠆ⥄േ㑣୯ಣℂߩੑ ⒳㘃ࠍ஻߃ߡ޿ࠆ㧚 ࠛ࠶ࠫ᛽಴  ↹௝ߩỚᐲ߿⦡㧘ᮨ᭽ߥߤߩ․ᓽ߇ૃߡ޿ࠆㇱಽࠍ৻ߟ ߩ㗔ၞߣ઒ቯߔࠇ߫㧘㗔ၞߣ㗔ၞߣߩႺ⇇ߢߪノᐲ୯ߥߤ ߇ᕆỗߦᄌൻߔࠆ㧚ࠣ࡟࡯ࠬࠤ࡯࡞↹௝޽ࠆ޿ߪࠞ࡜࡯↹ ௝ࠍ↪޿ߚ႐วߢ߽㧘↹⚛㑆ߩỚᐲᏅ߆ࠄ㗔ၞߩႺ⇇㧔ࠛ ࠶ࠫ㧕ࠍᬌ಴ߔࠆߎߣ߇ߢ߈ࠆ㧚ᧄࡊࡠࠣ࡜ࡓߢߪ㧘ᓸಽ ࡈࠖ࡞࠲ߣߒߡPrewitt ࡈࠖ࡞࠲ࠍ૶޿㧘↹௝߆ࠄ‛૕ᒻ⁁ ߩベㇳ㧔ࠛ࠶ࠫ㧕ࠍขࠅ಴ߒߡ޿ࠆ10)㧚࿑7 ߦ Prewitt ࡈࠖ ࡞࠲ߩࠝࡍ࡟࡯࠲ࠍ␜ߔ㧚   ࠦࡦ࠻࡜ࠬ࠻ߩᡷༀ  ↹௝ߩ᣿ࠆ޿ㇱಽߣᥧ޿ㇱಽߩ᣿ࠆߐߩᲧߩߎߣࠍࠦࡦ ࠻࡜ࠬ࠻ߣ๭߮㧘↹௝߇᣿ࠆߔ߉ࠆ߹ߚߪᥧߔ߉ࠆ↹௝ߪ ࠦࡦ࠻࡜ࠬ࠻߇ᖡ޿ߣ޿߃ࠆ㧚ࠦࡦ࠻࡜ࠬ࠻߇ᖡ޿ߣ↹௝ ౝߩኻ⽎‛ߣ⢛᥊ߣߩ඙೎߇ߪߞ߈ࠅߖߕ㧘․ᓽࠍ᛽಴ߔ ࠆߎߣ߇࿎㔍ߦߥࠆߎߣ߇޽ࠆ㧚 ࠦࡦ࠻࡜ࠬ࠻ࠍᡷༀߔࠆ↹௝ಣℂߢߪࠟࡦࡑ⵬ᱜ߇ࠃߊ ⍮ࠄࠇߡ޿ࠆ㧚ࠟࡦࡑ⵬ᱜߪ㕖✢ᒻߥᄌ឵ᑼࠍ೑↪ߒ㧘↹ ௝ߩࠦࡦ࠻࡜ࠬ࠻ࠍᡷༀߔࠆ߽ߩߢ޽ࠆ㧚એਅߦࠟࡦࡑ⵬ ᱜߩᄌ឵ᑼࠍ␜ߔ㧚ߥ߅ᑼਛߩzm ߪỚᐲ୯ߩᦨᄢࠍ⴫ߒ㧘  i j f ( i , j ) f ( i-1 , j ) f ( i-1 , j-1) f ( i-1 , j+1) f ( i , j-1) f ( i+1 , j-1) f ( i+1 , j) f ( i+1 , j+1) f ( i , j+1) i j f ( i , j ) f ( i-1 , j ) f ( i-1 , j-1) f ( i-1 , j+1) f ( i , j-1) f ( i+1 , j-1) f ( i+1 , j) f ( i+1 , j+1) f ( i , j+1)  ࿑ ᵈ⋡↹⚛ߣㄭற↹⚛ Δx Δy 1 0 -1 1 1 1 1 0 -1 0 0 0 1 0 -1 -1 -1 -1  ࿑ 2TGYKVV ࡈࠖ࡞࠲ߩࠝࡍ࡟࡯࠲

(4)

↹௝ಣℂࠍ೑↪ߒߚ⥄േ࡟࡝࡯ࡈ⵾૞ࠪࠬ࠹ࡓߩᬌ⸛㧔૒⮮߶߆㧕 z ߣ z' ߪߘࠇߙࠇ౉ജ↹௝ߣ಴ജ↹௝ߩỚᐲ୯ࠍ⴫ߔ㧚    ߎߩᑼߦ߅޿ߡ↹௝ࠍ᣿ࠆߊߔࠆ႐วߪγ < 1㧘ᥧߊߔࠆ႐ วߪγ > 1 ߣߥࠆࠃ߁ߦ γ ߩ୯ࠍ⸳ቯߔࠆ11) ↹௝ߩวᚑ  ৻ߟߩ↹௝߆ࠄหᤨߦⶄᢙߩ․ᓽࠍ߽ߞߚ↹௝ࠍ૞ᚑߔ ࠆߎߣߪ㕖Ᏹߦ࿎㔍ߢ޽ࠆ㧚ߘߎߢᧄࡊࡠࠣ࡜ࡓߪ㧘ੑᨎ ߩ↹௝ߩߘࠇߙࠇߩ․ᓽࠍ᦭ߒߚ↹௝ࠍ૞ࠅ಴ߔߚ߼ߦ㧘 ੑᨎߩ↹௝ࠍวᚑߔࠆᯏ⢻ࠍ஻߃ߡ޿ࠆ㧚ߎࠇߦࠃߞߡࠣ ࡟࡯ࠬࠤ࡯࡞ߦࠃࠆノᐲ୯ߩಳಲߣࠛ࠶ࠫ᛽಴ߦࠃࠆ↹௝ ߩベㇳߩਔᣇߩ․ᓽࠍ஻߃ߚ↹௝ࠍ૞ᚑߔࠆߎߣ߇ߢ߈ ࠆ㧚↹௝ࠍวᚑߔࠆ㓙ߪวᚑߩᲧ₸ࠍᄌ߃ࠆߎߣߢ ᣇߩ ↹௝ߩ․ᓽࠍᒝߊ⴫ߒߚวᚑ↹௝߽૞ᚑߢ߈ࠆ㧚࿑ 8 ߪ㧘 ࠣ࡟࡯ࠬࠤ࡯࡞↹௝ߣࠛ࠶ࠫ↹௝ߩᲧ₸ࠍ7㧦3 ߢวᚑߒߚ ⚿ᨐߢ㧘ㅢᏱߩࠣ࡟࡯ࠬࠤ࡯࡞↹௝ߦࠛ࠶ࠫ㕙߇ടࠊߞߚ ↹௝ߣߥࠆ߇㧘ߎࠇߦࠃߞߡ㜬߿㗻ߩႺ⇇߇᣿⏕ߦߥࠆ㧚 㗻↹௝ߣ㗻㜞ߐ࠺࡯࠲ߩวᚑ  ᧄ࡟࡝࡯ࡈ⵾૞ࠪࠬ࠹ࡓߢߪ  ▵ߢ␜ߒߚวᚑ↹௝ߩ ノᐲ୯ࠍ㧘ၮᧄ⊛ߥߩടᎿ㜞ߐ࠺࡯࠲ߣߒߡ૶ߞߡ޿ࠆ㧚 ࿑ ベㇳ↹௝ߣỚ᷆↹௝ߩวᚑ    C 㗻㜞ߐ࠺࡯࠲      D วᚑ⚿ᨐ ࿑ 㗻㜞ߐ࠺࡯࠲ߣ↹௝ߩวᚑ  C 6:6 ࠺࡯࠲D 5QNKF9QTMU ਄ߢߩ⴫␜ ࿑ ↹௝࠺࡯࠲ࠃࠅ૞ᚑߒߚὐ⟲࠺࡯࠲  ߚߛ㧘วᚑ↹௝ߛߌࠍ૶ߞߡ࡟࡝࡯ࡈࠍ⵾૞ߒߚ႐ว㧘⡼ ߿㜬ㇱಽߥߤߩㇱಽߩỚᐲᏅ߇ዊߐߊ㧘૞ᚑߐࠇࠆ࡟࡝࡯ ࡈߪᐔမߢ㧘৻⥸⊛ߥ㗻ߩಳಲߣ⇣ߥࠆᒻ⁁ߩ࡟࡝࡯ࡈߦ ߥߞߡߒ߹߁㧚ߘߎߢᧄ⎇ⓥߢߪ㧘੍߼ੱߩ߅㕙ࠍ3D ࠬࠠ ࡖ࠽ߢ⺒ߺㄟߺ㧘㗻㜞ߐ࠺࡯࠲ߣߒߡ೑↪ߔࠆߎߣߦߒߚ㧚 ࿑9 a) ߇૞ᚑߒߚ㗻㜞ߐ࠺࡯࠲ߩ↹௝ߢ޽ࠆ㧚ߎࠇߦ㧘㗻 ↹௝ࠍวᚑߔࠆߎߣߢ㧘ࠃࠅੱߩ㗻ࠄߒ޿࡟࡝࡯ࡈ߇⵾૞ ߢ߈ࠆߣ⠨߃ߚ㧚࿑9 b) ߪ㗻㜞ߐ࠺࡯࠲ߣวᚑ↹௝ࠍ 4㧦6 ߩഀวߢวᚑߒߚ⚿ᨐߢ㧘৻⥸⊛ߥ㗻ᒻ⁁ߦ਄ߦ㧘୘ੱߩ 㗻߇ᛩᓇߐࠇߚ⚿ᨐߣߥߞߡ޿ࠆ㧚Ყ₸ߦߟ޿ߡߪ㧘↹௝ ᚲߩශ⽎߆ࠄ᳿߼ߡ޿ࠆ㧚ߥ߅㧘㗻↹௝ߣ㗻㜞ߐ࠺࡯࠲ߪ ਄ਅᏀฝ߇৻⥌ߔࠆࠃ߁ߦᄢ߈ߐࠍᄌᦝߒߡวᚑߒߚ㧚  ↹௝࠺࡯࠲߆ࠄ %#& ࠺࡯࠲߳ߩᄌ឵  ↹௝ಣℂࡊࡠࠣ࡜ࡓߦࠃߞߡಣℂࠍᣉߒߚ↹௝࠺࡯࠲ࠍ SolidWorks ߦ⺒ߺㄟߺน⢻ߥ TXT ᒻᑼߩὐ⟲࠺࡯࠲㧔XYZ㧕 ߦᄌ឵ࠍⴕ߁㧚↹௝࠺࡯࠲ߩฦ↹⚛f(x,y)ߩᐳᮡࠍਃᰴరࡕ ࠺࡞ߩX ᐳᮡ࡮Y ᐳᮡߦ⟎߈឵߃㧘↹⚛ߩỚᐲ୯ࠍ࡟࡝࡯ ࡈߩ㜞ߐߣߥࠆZ ᐳᮡߦ⟎߈឵߃ߡਃᰴరࡕ࠺࡞ߩ XYZ ᐳ ᮡߣߥࠆὐ⟲࠺࡯࠲ࠍ૞ᚑߒߚ㧚ߎߩ㓙㧘XY ߣ Z ߩࠬࠤ࡯ ࡞Ყࠍ200㧦1 ߣߒ㧘ࠃࠅᐔ㕙ߦㄭ޿ᒻߦߥࠆࠃ߁ߦߒߚ㧚 ࿑10 ߦ TXT ࡈࠔࠗ࡞ᒻᑼߩὐ⟲࠺࡯࠲ߣ SolidWorks ߦ ࠃߞߡขࠅㄟࠎߢ⴫␜ߒߚ଀ࠍ␜ߔ㧚  㧡㧚&%#& ࠪࠬ࠹ࡓߢߩടᎿ࠺࡯࠲ߩ૞ᚑ  3D-CAD SolidWorks ਄ߢ࡟࡝࡯ࡈടᎿߩၮ␆ߣߥࠆਃᰴ ర࠺࡯࠲ߩ૞ᚑࠍⴕ߁㧚ߎߎߢߪߘߩᚻ㗅ࠍ␜ߔ12)  ࡔ࠶ࠪࡘൻ  ࡔ࠶ࠪࡘൻߪขࠅㄟࠎߛὐ⟲࠺࡯࠲ࠍ߽ߣߦ㧘┙૕ⓨ㑆 ਄ߦዊߐߥ㕙ࠍ᭴ᚑߔࠆ૞ᬺߢ޽ࠆ㧚੹࿁ߪਃⷺᒻߩ㕙ߢ ᭴ᚑߔࠆᠲ૞ࠍⴕߞߚ㧚Scan to 3D ߢߪ㧘ၮὐ߆ࠄᦨ߽ㄭ޿ 2 ὐߣ㧘ၮὐߩ 3 ὐࠍ⚿ࠎߢਃⷺᒻࠍ૞ࠆ㧚ߘߩߚ߼㧘 XY ߣZ ࠬࠤ࡯࡞Ყࠍ⺞ᢛߔࠆߎߣߢ㧘XY ᐔ㕙ߦ߅޿ߡ㓞ࠅว ߁ὐࠍ⏕ታߦࡔ࠶ࠪࡘߢߟߥߋߎߣ߇น⢻ߣߥࠅ㧘࠺࡯࠲ ߩ⍴⛊ߥߤ߽ߥߊ㧘రߩ↹௝ߦㄭ޿ᒻߩࡔ࠶ࠪࡘࠍ↢ᚑߔ ࠆߎߣ߇ߢ߈ߚ㧚

(5)

ࠨ࡯ࡈࠚࠬൻ  Scan to 3D ߩᯏ⢻ߢߪ㧘ࠨ࡯ࡈࠚࠬߩ⾍ࠅઃߌᣇᴺߣߒ ߡ㧘⥄േ૞ᚑߣ⺃ዉ૞ᚑߩ 2 ߟ߇޽ࠆ㧚⺃ዉ૞ᚑߢߪ㧘ಽ ഀ㕙ߩᜰቯ߿⾍ࠅઃߌࠆࠨ࡯ࡈࠚࠬߩᕈ⾰ߩᜰቯߥߤࠍᠲ ૞⠪߇ᜰቯߔࠆߎߣ߇ߢ߈ࠆ㧚න⚐ߥᒻ⁁ߩ‛ߥߤߢߪ㧘 ߎߜࠄࠍ૶↪ߔࠆߎߣ߇ᄙ޿߇੹࿁ߪ㧘↹௝ࠍరߦ࡟࡝࡯ ࡈࠍ૞ᚑߔࠆߎߣ߆ࠄ㧘⾍ࠅઃߌࠆࠨ࡯ࡈࠚࠬߩᢙ߇⤘ᄢ ߦߥࠅ㧘⺃ዉ૞ᚑߢߩ૞ᬺߪ࿎㔍ߢ޽ࠆ㧚ߒߚ߇ߞߡ⥄േ ૞ᚑߦࠃߞߡࠨ࡯ࡈࠚࠬࠍ૞ᚑߔࠆߎߣߦߒߚ㧚 ⥄േ૞ᚑߪࡔ࠶ࠪࡘߩᒻ⁁ߦᔕߓߡᔅⷐߥᕈ⾰ߩࠨ࡯ࡈ ࠚࠬࠍ⥄േ⊛ߦ⾍ࠅઃߌࠆᯏ⢻ߢ޽ࠆ㧚ࠨ࡯ࡈࠚࠬߩ♖ᐲ ߩㆬᛯ߇ߢ߈㧘♖ᐲࠍ㜞ߊߔࠆߣࠃࠅᱜ⏕ߥ⴫⃻ߢ߈ࠆ㧚 ߒ߆ߒ㧘ࠨ࡯ࡈࠚࠬ૞ᚑᓟߩࠛ࡜࡯߿ਇᱜ㕙ߩ⊒↢㧘ࠨ࡯ ࡈࠚࠬᢙ߇ᄙߊߥࠅߔ߉ߡ࠺࡯࠲߇⤘ᄢߦߥࠆߥߤߩ໧㗴 ߇⊒↢ߔࠆ㧚৻ᣇ♖ᐲࠍૐߊߔࠆߣࠛ࡜࡯߿ਇᱜ㕙ߪᷫࠆ ߇㧘⴫㕙߇☻ߊߥߞߡߒ߹߁㧚  ੹࿁ߪ PC ߩ⢻ജߥߤࠍ⠨ᘦߒߡ㧘ࠨ࡯ࡈࠚࠬᢙ߇ 2000 ᨎ೨ᓟ⒟ᐲߦߥࠆࠃ߁ߦ♖ᐲࠍᜰቯߒߚ㧚ߎ߁ߒߡ૞ᚑߒ ߚࠨ࡯ࡈࠚࠬߦ߽ࠛ࡜࡯߇฽߹ࠇߡ޿ࠆߩߢ㧘ࠛ࡜࡯ࠨ࡯ ࡈࠚࠬߩ㒰෰㧘ࡈࠖ࡞ߥߤߦࠃࠆⓣၒ߼૞ᬺ߇ᔅⷐߣߥࠆ㧘 ߎࠇߪᚻേߢⴕߞߚ㧚 ࠰࡝࠶࠼ൻ  ࠨ࡯ࡈࠚࠬൻߢߢ߈਄߇ߞߚࠨ࡯ࡈࠚࠬߪ↹௝࠺࡯࠲ノ ᐲ୯ߦࠃࠆಳಲߢ޽ࠅ㧘࡟࡝࡯ࡈߦ߅޿ߡߪᓂࠅㄟߺ㕙ߩ ߺߢ޽ࠆ㧚ࠃߞߡ஥㕙㧘ᐩ㕙╬ࠍട߃ࠆᔅⷐ߇޽ࠆ㧚ߘߒ ߡߎࠇࠄߩ✬ߺวࠊߖߩḰ஻ߣߒߡ㧘ਇⷐㇱಽߩ࠻࡝ࡓಣ ℂࠍⴕ߁㧚ᦨᓟߦⓣၒ߼ߥߤࠍ฽߼㧘ోߡߩࡄ࡯࠷ࠍ✬ߺ วࠊߖߡ࠰࡝࠶࠼ࠍ૞ᚑߔࠆ㧚ߎࠇࠄߩ࠰࡝࠶࠼ൻࠍߔࠆ 㓙ߦ㧘↢ᚑߒߚࠨ࡯ࡈࠚࠬߩ┵ㇱߦࠛ࡜࡯߇ᄙߊ⊒↢ߒ㧘 ߎߩࠛ࡜࡯ߩୃᱜߦᄙߊߩᤨ㑆ࠍᔅⷐߣߔࠆߎߣ߇ಽ߆ߞ ߚߚ߼㧘↹௝ಣℂࡊࡠࠣ࡜ࡓߩᓟಣℂߦ㧘৻⒳ߩ⓹㑐ᢙߩ ࠃ߁ߦ┵ㇱߩ࠺࡯࠲ࠍ৻ቯ୯ߦ෼᧤ߐߖࠆᯏ⢻ࠍㅊടߒ ߚ㧚ߎߩᯏ⢻ߦࠃߞߡ↢ᚑࠨ࡯ࡈࠚࠬ┵ㇱߦ߅ߌࠆ࠰࡝࠶ ࠼ൻߩ㓙ߩࠛ࡜࡯ࠍᷫዋߐߖࠆߎߣ߇ߢ߈ߚ㧚 ടᎿ࠺࡯࠲߳ߩᄌ឵  SolidWorks ߦࠃߞߡ૞ᚑߒߚ CAD ࠺࡯࠲㧔࠰࡝࠶࠼ࡕ࠺ ࡞㧕ࠍ߽ߣߦࡑࠪ࠾ࡦࠣ࠮ࡦ࠲߿3D ࡊ࡝ࡦ࠲ߢടᎿࠍⴕ߁ ߚ߼ߦߪ㧘ߐࠄߦടᎿᯏߦ޽ߞߚ࠺࡯࠲ߩᄌ឵ࠍⴕ߁ᔅⷐ ߇޽ࠆ㧚  ੹࿁૶↪ߒߚਃᰴరㅧᒻᯏ㧔3D ࡊ࡝ࡦ࠲㧕ߪ STL ࡈࠔࠗ ࡞ࠍ⺒ߺㄟߺ㧘ടᎿࠍⴕ߁㧚STL ߪ facet ߣ๭߫ࠇࠆਃߟߩ 㗂ὐߩᐳᮡߣᴺ✢ࡌࠢ࠻࡞ߦࠃࠆන⚐ߥਃⷺᒻࡐ࡝ࠧࡦߩ 㓸วߦࠃߞߡ᭽ޘߥᒻ⁁ࠍ⴫⃻ߔࠆ㧚facet ᢙ߇ᄙߊߥࠆ߶ ߤṖࠄ߆ߥᦛ✢ࠍ⴫⃻ߔࠆߎߣ߇น⢻ߛ߇㧘ߘߩಽࡈࠔࠗ  C ࡔ࠶ࠪࡘൻD ࠨ࡯ࡈࠚࠬൻ  E ࠰࡝࠶࠼ൻ  ࿑ &%#& ࠪࠬ࠹ࡓߢߩ࠺࡯࠲૞ᚑ ࡞ࠨ߽ࠗ࠭ᄢ߈ߊߥࠅ㧘ᠲ૞ᕈߦᓇ㗀߇↢ߓࠆ㧚  ৻ᣇ㧘ࡑࠪ࠾ࡦࠣ࠮ࡦ࠲ߢߩടᎿߦߪIGES ࡈࠔࠗ࡞ࠍ૶ ↪ߔࠆ㧚IGES ߪ⇣ߥࠆ CAD ࠪࠬ࠹ࡓ㑆ߢߩ࠺࡯࠲ߩ߿ࠅ ขࠅࠍน⢻ߣߔࠆߚ߼ߦ೙ቯߐࠇߚᮡḰࠗࡦ࠲࡯ࡈࠚ࡯ࠬ ߢ㧘ఝࠇߚ੕឵ᕈࠍᜬߜ㧘CAD ࠺࡯࠲੤឵ߦ߅ߌࠆታ⾰⊛ ߥ਎⇇ၮḰߢ޽ࠆ㧚ߒ߆ߒ㧘ߔߴߡߩCAD ࠪࠬ࠹ࡓߩ઀᭽ ߦኻᔕߒߡߪ߅ࠄߕ㧘࠺࡯࠲੤឵ߩ㓙ߦߪ৻⇟੕឵ᕈ߇㜞 ޿ᒻᑼߦ⠡⸶ߔࠆᔅⷐ߇޽ࠆ㧚ߎߩߚ߼㧘ቢోߥSolidWorks ߩ࠺࡯࠲ࠍฃߌᷰߔߎߣߪߢ߈ߥ޿߇㧘੹࿁ߩ࡟࡝࡯ࡈߩ ⹜૞Ბ㓏ߢߪᄢ߈ߥ໧㗴ߣߪߥࠄߥ߆ߞߚ㧚 㧢㧚ടᎿᯏߦࠃࠆ࡟࡝࡯ࡈߩ⥄േ⵾૞  &%#& ࠪࠬ࠹ࡓߢ૞ᚑߒߚ  ᰴరടᎿ࠺࡯࠲ࠍ߽ߣߦ㧘 ࡟࡝࡯ࡈߩ⥄േടᎿࠍⴕߞߚ㧚  & ࡊ࡝ࡦ࠲ߦࠃࠆടᎿ  ᧄ⎇ⓥߢ૶↪ߒߚ3D ࡊ࡝ࡦ࠲ߢߩടᎿߢߪ㧘߹ߕㅧᒻᯏ ߩઃዻ࠰ࡈ࠻࠙ࠚࠕߢ޽ࠆCatalystEX ࠃࠅ STL ࡈࠔࠗ࡞ߩ ⺒ߺㄟߺࠍⴕ߁㧚ᰴߦടᎿ᧦ઙߣߒߡ㧘ㅧᒻࡇ࠶࠴ߩㆬᛯ 㧔2 Ბ㓏㧕ߣౝㇱ᭴ㅧ㧔sparse ߣ solid-normal㧕ࠍㆬᛯߔࠆ㧚 solid-normal ߢߪࡕ࠺࡞ౝㇱߔߴߡࠍㅧᒻߒ㧘sparse ߪࡕ࠺ ࡞ౝㇱࠍᩰሶ⁁ߦਛⓨߦߔࠆߎߣߢ㧘৻ቯߩᒝᐲߪ଻ߜߟ ߟ㧘૶↪ߔࠆ᧚ᢱࠍᷫࠄߒߡ㧘ㅧᒻᤨ㑆ࠍ⍴❗ߔࠆߎߣ߇ ߢ߈ࠆ㧚ᧄ⎇ⓥߢߪ⴫㕙ᒻ⁁ߩ⏕⹺߇⋡⊛ߣߥࠆߩߢ㧘ౝ ㇱ᭴ㅧߪsparse ߣߒߚ㧚߹ߚㅧᒻࡇ࠶࠴ߪᮡḰ㧔0.254mm㧕 ࠍណ↪ߒߚ㧚

(6)

↹௝ಣℂࠍ೑↪ߒߚ⥄േ࡟࡝࡯ࡈ⵾૞ࠪࠬ࠹ࡓߩᬌ⸛㧔૒⮮߶߆㧕 ⴫ 㧚8KUWCN/KNN ߦࠃࠆಾ೥Ꮏ⒟᧦ઙ  ࡃࠗ࠻ ടᎿᴺ ⸵ኈ ⺋Ꮕ ࡇ࠶࠴[mm]  㨤 㨥 㨦 ☻ട Ꮏ R2 ╬㜞✢ ടᎿ 0.1 1 1 1 ਛ㑆 ടᎿ R1 ╬㜞✢ ടᎿ 0.05 0.4 0.4 0.4 ઀਄ ߍ R0.5 ╬㜞✢ ടᎿ 0.01 0.05 0.05 0.05 R0.5 ⿛ᩏ✢ ടᎿ 0.01 0.05 0.05 0.05 ࡑࠪ࠾ࡦࠣ࠮ࡦ࠲ߦࠃࠆടᎿ ੹࿁ߩࡑࠪ࠾ࡦࠣ࠮ࡦ࠲࡯ߦࠃࠆ࡟࡝࡯ࡈ⵾૞ߢߪ㧘☻ ടᎿ㧘ਛ㑆ടᎿ㧘઀਄ߍടᎿߩ 4 Ბ㓏ߢⴕߞߚ㧚☻ടᎿ㧘 ਛ㑆ടᎿߦߪ㧘╬㜞✢ടᎿࠍ↪޿ߚ㧚╬㜞✢ടᎿߪ࿾࿑ߩ ╬㜞✢ߩࠃ߁ߦ㜞ߐ߇৻ቯߩ࿾ὐࠍ౞ࠍឬߊࠃ߁ߦಾ೥ߒ ߡ޿ߊടᎿᴺߢ㧘╬㜞✢ߦᴪߞߚᦛ㕙߇ᄸ㤀ߦടᎿߢ߈ࠆ㧚 ৻ᣇ㧘⿛ᩏ✢ടᎿߪ❑ᮮ 1 ᣇะߦ࠷࡯࡞ࠍ⿛ᩏߐߖ㧘ࡇ࠶ ࠴ߏߣߦ㜞ߐࠍᄌ߃ߥ߇ࠄടᎿࠍⴕ߁ߩߢ㧘Ყセ⊛ㅦ޿ㅦ ᐲߢടᎿߢ߈㧘xy ᣇะߦᴪߞߚṖࠄ߆ߥ㕙ࠍᓧࠆߎߣ߇ߢ ߈ࠆ㧚઀਄ߍടᎿߢߪ㧘߹ߕ╬㜞✢ടᎿࠍ↪޿㧘ᰴߦ⿛ᩏ ✢ടᎿࠍㅊടߔࠆߎߣߢ㧘ടᎿ㕙ߩะ਄ࠍ࿑ߞߚ㧚⴫㧝ߦ㧘 ฦടᎿߦ߅ߌࠆࡃࠗ࠻ᓘ߿ㅍࠅㅦᐲ╬ߩ᧦ઙࠍ␜ߔ㧚  㧣࡟࡝࡯ࡈടᎿ⚿ᨐ  ᧄ⎇ⓥߢߪ㧘೨ㅀߩߣ߅ࠅ Lenna ↹௝ߣ㗻↹௝ࠍ૶ߞߡ ࡟࡝࡯ࡈߩ⵾૞ࠍⴕߞߚ㧚એਅߦߘࠇߙࠇߩ↹௝ࠃࠅ⵾૞ ߒߚ࡟࡝࡯ࡈߩ⚿ᨐࠍ␜ߔ㧚ߥ߅ Lenna ↹௝ࠍ૶↪ߒߚ࡟ ࡝࡯ࡈߪ㧘ࠣ࡟࡯ࠬࠤ࡯࡞↹௝ߣࠛ࠶ࠫ↹௝ࠍ7㧦3 ߩഀว ߢวᚑߒ㧘↹௝ߩ┵ߦỚᐲ୯ߩ෼᧤ಣℂࠍᣉߒߚ↹௝ࠍ૶ ↪ߒߚ㧚৻ᣇ㧘㗻↹௝ࠍ૶ߞߚ࡟࡝࡯ࡈߪ㧘Lenna ↹௝ߣห ᭽ߦࠣ࡟࡯ࠬࠤ࡯࡞↹௝ߣࠛ࠶ࠫ↹௝ࠍวᚑߒߚ↹௝ߦ㧘 㜬ㇱಽߦߩߺࠦࡦ࠻࡜ࠬ࠻⵬ᱜࠍᣉߒ㧘㗻㜞ߐ࠺࡯࠲ࠍว ᚑߒߚ↹௝ࠍ࡟࡝࡯ࡈ↹௝ߣߒߡ૶↪ߒߚ㧚 .GPPC ↹௝ࠍ↪޿ߚ࡟࡝࡯ࡈ⵾૞  Lenna ↹௝ࠍ↪޿ߚ࡟࡝࡯ࡈߪ㧘࿑ 12 a)ࠍ࡟࡝࡯ࡈ↹௝ ߣߒߡ㧘3D ࡊ࡝ࡦ࠲ߣࡑࠪ࠾ࡦࠣ࠮ࡦ࠲ߩੑ⒳㘃ߩടᎿᯏ ࠍ૶ߞߡ࡟࡝࡯ࡈߩㅧᒻࠍⴕߞߚ㧚࿑12 b) c)ߪߘࠇߙࠇ 3D ࡊ࡝ࡦ࠲ߣࡑࠪ࠾ࡦࠣ࠮ࡦ࠲ߢ⵾૞ߒߚ࡟࡝࡯ࡈߢ޽ࠆ㧚 ࡟࡝࡯ࡈߩ⷗ᣇ߿శߩᒰߚࠅᣇߦࠃߞߡᄌࠊࠆ߇㧘ਔᣇ ߣ߽రߩ࡟࡝࡯ࡈ↹௝ߦㄭ޿࡟࡝࡯ࡈࠍౣ⃻ߢ߈ߚߣ޿߃ ࠆ㧚ߒ߆ߒᧄ⎇ⓥߢߪ㧘↹௝ߩỚᐲ୯ߦࠃߞߡ࡟࡝࡯ࡈߩ ಳಲࠍౣ⃻ߒߡ޿ࠆߚ߼㧘Ᏺሶߩ㘼ࠅ߿㜬ߥߤታ㓙ߩ߽ߩ ߣߪಳಲߩ㑐ଥ߇ㅒߦߥߞߡ޿ࠆㇱಽ߽⷗ࠄࠇࠆ㧚  C ࡟࡝࡯ࡈ↹௝ D & ࡊ࡝ࡦ࠲ߢE ࡑࠪ࠾ࡦࠣ࠮ࡦ࠲ ࿑ .GPPC ↹௝ࠍ૶ߞߚ࡟࡝࡯ࡈ⵾૞⚿ᨐ 3D ࡊ࡝ࡦ࠲ߦࠃࠆ࡟࡝࡯ࡈߣࡑࠪ࠾ࡦࠣ࠮ࡦ࠲ߦࠃࠆ࡟ ࡝࡯ࡈࠍᲧセߔࠆߣ㧘3D ࡊ࡝ࡦ࠲ߦࠃࠆ࡟࡝࡯ࡈߪ㧘⴫㕙 ♖ᐲ߇☻ߊⓍጀဳߦߥߞߡ޿ࠆߩߦኻߒ㧘ࡑࠪ࠾ࡦࠣ࠮ࡦ ࠲ߦࠃࠆ࡟࡝࡯ࡈߪㅪ⛯⊛ߢṖࠄ߆ߥᦛ✢ࠍ⴫⃻ߢ߈ߡ߅ ࠅ㧘Ᏺሶ㘼ࠅߥߤ⚦߆ߥㇱಽ߽߈ࠇ޿ߦ⴫⃻ߐࠇߡ޿ߚ㧚 ߥ߅㧘ടᎿߦⷐߒߚᤨ㑆ߪ3D ࡊ࡝ࡦ࠲࡮ࡑࠪ࠾ࡦࠣ࠮ࡦ࠲ ߣ߽ߦ⚂7 ᤨ㑆⒟ᐲߢ޽ߞߚ㧚  㗻↹௝ࠍ↪޿ߚ࡟࡝࡯ࡈ⵾૞  ߹ߕࠣ࡟࡯ࠬࠤ࡯࡞↹௝ߣࠛ࠶ࠫ↹௝ࠍวᚑߒߚ↹௝ࠍ ૶ߞߡ⵾૞ߒߚ࡟࡝࡯ࡈߩ⚿ᨐࠍㅀߴࠆ㧚࿑13 ߦరߩ࡟࡝ ࡯ࡈ↹௝ߣ3D ࡊ࡝ࡦ࠲ߦࠃࠅ⵾૞ߒߚ࡟࡝࡯ࡈࠍ␜ߔ㧚ߎ ߩ࡟࡝࡯ࡈ߽రߩ࡟࡝࡯ࡈ↹௝ࠍ޽ࠆ⒟ᐲౣ⃻ߒߚ࡟࡝࡯ ࡈߣߥߞߚ㧚ࠛ࠶ࠫ↹௝ߩᚑಽ߇ല޿ߡ޿ߡ㧘⢛᥊ߣߩႺ ⇇߽ߒߞ߆ࠅߣ⃻ࠊࠇߡ޿ߚ㧚ߒ߆ߒੱ㑆ߩ㗻߇↹௝ߩ߶ ߣࠎߤࠍභ߼ߡ޿ࠆߚ߼㧘5.1 ▵ߢㅀߴߚࠃ߁ߥታ㓙ߩੱ㑆 ߩ㗻ߣᲧセߒߚߣ߈ߩಳಲߩਇ⥄ὼߐ߇㗼⪺ߦ⷗ࠄࠇߚ㧚 ߹ߚ㧘㜬⾰߿⡊ߩߒࠊߥߤ⚦߆޿ಳಲߪ߶ߣࠎߤౣ⃻ߢ߈ ߡ߅ࠄߕ㧘㜬ㇱಽߦߟ޿ߡߪ߶߷ᐔ㕙ߦᓂࠅㄟࠎߛࠃ߁ߥ ᒻߦߥߞߚ㧚  ᰴߦࠦࡦ࠻࡜ࠬ࠻⵬ᱜߣ㗻㜞ߐ࠺࡯࠲วᚑࠍⴕߞߚ↹௝ ࠍ૶ߞߡ⵾૞ߒߚ࡟࡝࡯ࡈߩ⚿ᨐࠍㅀߴࠆ㧚࿑14 ߦరߩ࡟ ࡝࡯ࡈ↹௝ߣ3D ࡊ࡝ࡦ࠲ߢ⵾૞ߒߚ࡟࡝࡯ࡈࠍ␜ߔ㧚ߎߜ ࠄߩ࡟࡝࡯ࡈߪੱߩ㗻ߩ㜞ߐ࠺࡯࠲ࠍ⋥ធวᚑߒߡ޿ࠆߚ ߼㧘ੱߩ㗻ߣᲧߴߚ㓙ߩಳಲߩਇ⥄ὼߐߪዋߥߊߥߞߚ㧚 ߹ߚ㧘㜬ㇱಽߩࠦࡦ࠻࡜ࠬ࠻ࠍ᣿ࠆߊߒߚߎߣߢ㧘㜬ㇱಽ ߦ߽┙૕ᗵ߇಴ߡ߅ࠅ㧘ో૕ߣߒߡࠃࠅੱߩ㗻ߦㄭ޿࡟࡝

(7)

   C ૞ᚑߒߚ↹௝   D ࡟࡝࡯ࡈ⵾૞⚿ᨐ ࿑ ࠣ࡟࡯ࠬࠤ࡯࡞↹௝࡮ࠛ࠶ࠫ↹௝วᚑ    C ૞ᚑߒߚ↹௝      D ࡟࡝࡯ࡈ⵾૞⚿ᨐ ࿑ ࠦࡦ࠻࡜ࠬ࠻⵬ᱜ࡮㜞ߐ࠺࡯࠲วᚑ ࡯ࡈ߇ߢ߈ߚߩߢߪߥ޿߆ߣ޿߃ࠆ㧚ߒ߆ߒ㧘⚦߆޿ಳಲ ߪ߿ߪࠅౣ⃻ߒ߈ࠇߡ߅ࠄߕ㧘ಳಲߩਇ⥄ὼߐ߇⧯ᐓᱷߞ ߚ㧚 㧤⠨ኤߣᬌ⸛ .GPPC ↹௝࡟࡝࡯ࡈߣర↹௝ߣߩᲧセᬌ⸛  Lenna ↹௝ߣ࡟࡝࡯ࡈࠍᲧセߒߚߣߎࠈ㧘Ᏺሶ㘼ࠅߥߤ⚦ ߆ߥ⴫⃻ߦ⺖㗴ߪᱷࠆ߇㧘࡟࡝࡯ࡈߣߒߡ৻ᔕߩ⴫⃻ߢ߈ ࠆߎߣ߇ࠊ߆ߞߚ㧚⡼ߩ⴫㕙ߥߤỚᐲ୯߇Ṗࠄ߆ߦᄌൻߒ ߡ޿ࠆㇱಽߪ⵾૞ߒߚ࡟࡝࡯ࡈߢ߽ਣߺࠍᏪ߮ߡ઀਄߇ߞ ߡ߅ࠅ㧘◲නߥ૞ᬺߩഀߦߪචಽߥ࡟࡝࡯ࡈ߇ᓧࠄࠇߚߩ ߢߪߥ޿߆ߣ⠨߃ߡ޿ࠆ㧚  ߐࠄߦ Lenna ↹௝ߦㄭ޿࡟࡝࡯ࡈࠍ⵾૞ߔࠆߚ߼ߦߪ㧘 ⚦߆ߥಳಲㇱಽߩౣ⃻߇㕖Ᏹߦ㊀ⷐߦߥࠆ㧚࡟࡝࡯ࡈ↹௝ ࠍߺࠆߣᏲሶ㘼ࠅߩㇱಽߩỚᐲ୯ߪ߶߷หߓߢ޽ࠆߚ߼㧘 Ớᐲ୯ߩ㆑޿ߦࠃࠆಳಲߩౣ⃻ߪ޽߹ࠅ⷗ㄟ߼ߕ㧘ࠛ࠶ࠫ ᛽಴ߦࠃࠆ⾰ᗵߩ⴫⃻߇ᔅⷐߦߥࠆ㧚⃻Ბ㓏ߢߪࠣ࡟࡯ࠬ ࠤ࡯࡞↹௝ߦߪ೨ಣℂࠍ૗߽ᣉߐߕߦࠛ࠶ࠫ᛽಴ಣℂࠍⴕ ߞߡ޿ࠆߚ߼㧘Ớᐲ୯ߩᄌൻ߇ዋߥ޿Ᏺሶ㘼ࠅㇱಽߢߪ߶ ߣࠎߤࠛ࠶ࠫ߇⴫ࠇߥ޿㧚ߎࠇࠍᡷༀߔࠆߚ߼ߦ㧘ࠛ࠶ࠫ ᛽಴ಣℂࠍⴕ߁೨ߦ㧘ࠣ࡟࡯ࠬࠤ࡯࡞↹௝ߦవ㍈ൻಣℂߥ ߤߩ೨ಣℂࠍᣉߒ㧘Ớᐲ୯ߩ㆑޿ࠍߪߞ߈ࠅߣߐߖߚ਄ߢ ࠛ࠶ࠫ᛽಴ࠍⴕ߃߫Ᏺሶ㘼ࠅㇱಽߢߩࠛ࠶ࠫߩ⭯ߐࠍᡷༀ ߔࠆߎߣ߇ߢ߈㧘⾰ᗵࠍࠃࠅ⦟ߊ⴫⃻ߢ߈ࠆߩߢߪߥ޿߆ ߣ⠨߃ࠄࠇࠆ㧚 㗻↹௝࡟࡝࡯ࡈߣర↹௝ߣߩᲧセᬌ⸛  ࠣ࡟࡯ࠬࠤ࡯࡞↹௝ߣࠛ࠶ࠫ↹௝ࠍวᚑߒߚ࡟࡝࡯ࡈ ߪ㧘ర↹௝ߣᲧセߔࠆߣ↹௝ߩ․ᓽࠍ޽ࠆ⒟ᐲ⴫ࠊߒߚ࡟ ࡝࡯ࡈ߇ߢ߈ߚߣ⠨߃ࠄࠇࠆ㧚ߒ߆ߒ㧘㜬ㇱಽ߅ࠃ߮⡼⴫ 㕙ߪỚᐲ୯ߩ୯߇߶߷৻ቯߢ޽ࠅ㧘․ߦ㜬ㇱಽߦߟ޿ߡߪ Ớᐲ୯߇㕖Ᏹߦዊߐ޿ߚ߼㧘࡟࡝࡯ࡈߩෘߺߪ㕖Ᏹߦ⭯ߊ ߥࠆ㧚ࠃߞߡᐔ㕙ߦᓂࠅㄟࠎߛࠃ߁ߥᒻߣߥࠅ㧘┙૕ᗵߦ ᰳߌࠆ࡟࡝࡯ࡈߣߥߞߚߣ⠨߃ࠄࠇࠆ㧚  ৻ᣇ㧘㜬ㇱಽߩࠦࡦ࠻࡜ࠬ࠻⵬ᱜߣੱߩ㗻ߩ㜞ߐ࠺࡯࠲ ࠍวᚑߒߚ࡟࡝࡯ࡈߢߪ㧘ࠟࡦࡑ⵬ᱜߦࠃࠅ㜬ㇱಽߩࠦࡦ ࠻࡜ࠬ࠻ࠍ᣿ࠆߊߔࠆߎߣߢỚᐲ୯߽ᄢ߈ߊߥࠅ㧘࡟࡝࡯ ࡈߩෘߺ߇Ⴧߒߡ㜬ㇱಽߦ߽┙૕ᗵ߇޽ࠆ࡟࡝࡯ࡈߣߥߞ ߚߣ޿߃ࠆ㧚߹ߚ㗻㜞ߐ࠺࡯࠲ࠍวᚑߔࠆߎߣߢ㧘㥦߿⋡㧘 ⋲ߥߤ㗻ߩฦㇱ૏ߩỚᐲ୯ࠍᏅ೎ൻߔࠆߎߣ߇ߢ߈㧘ࠃࠅ ੱߩ㗻ߩᒻ⁁ߦㄭ޿࡟࡝࡯ࡈ߇૞ᚑߢ߈ߚߣ⠨߃ࠄࠇࠆ㧚  ߐࠄߦరߩੱߩ㗻ߩᒻ⁁ߦㄭ޿࡟࡝࡯ࡈࠍ૞ᚑߔࠆߚ߼ ߦߪ㧘㗻㜞ߐ࠺࡯࠲ߩㆡ↪ᣇᴺ߇㊀ⷐߦߥࠆ㧚੹࿁ߩᬌ⸛ ߢߪ 4.7 ▵ߢ߽ㅀߴߚࠃ߁ߦ㗻↹௝ߣ㜞ߐ࠺࡯࠲ߩ৻⥌ߦ ߅޿ߡ㧘਄ਅᏀฝߩ┵ὐࠍ৻⥌ߐߖࠆࠃ߁ߦࠬࠤ࡯࡞ᄌᦝ ߔࠆᣇᴺࠍណ↪ߒߡ޿ࠆ㧚ߎߩᣇᴺߢ޽ࠆߣ࿑15 ߩࠃ߁ߦ ┵ὐએᄖߩㇱಽߦ߅޿ߡ㗻㗔ၞߣ㗻㜞ߐ࠺࡯࠲↹௝߇ቢో ߦ৻⥌ߒߡ߅ࠄߕ㧘Ớᐲ୯߇ਇ⥄ὼߦ᣿ࠆߊߥߞߡ޿ࠆㇱ ಽ߇⷗ࠄࠇࠆ㧚ߎࠇࠄ߇࡟࡝࡯ࡈൻߒߚ㓙ߦ⷗ࠄࠇࠆਇ⥄ ὼߥಳಲߩේ࿃ߣ⠨߃ࠄࠇࠆ㧚ኻ╷ߣߒߡ㧘㗻౮⌀ߩ㗻㗔 ၞߩベㇳ✢ߩ೑↪߇᜼ߍࠄࠇࠆ㧚㗻ߩベㇳ✢ߦ৻⥌ߔࠆࠃ ߁ߦ㗻㜞ߐ࠺࡯࠲ߩࠬࠤ࡯࡞ࠍᄌᦝߒ㧘วᚑࠍⴕ߁ߎߣߢ㧘 ਇ⥄ὼߥỚᐲ୯ߩᄌൻߪ↢ߓߥ޿ߩߢߪߥ޿߆ߣ⠨߃ࠄࠇ ࠆ㧚߹ߚ㗻⹺⸽ᛛⴚࠍ೑↪ߒߡ㥦㧘⋡㧘⋲ߥߤߩ㗻ߩฦㇱ ૏ࠍขࠅ಴ߒ㧘ฦޘߩㇱ૏ߦวߞߚ↹௝ಣℂ㧘㜞ߐ࠺࡯࠲ วᚑࠍⴕ߁ߎߣߢ㧘ੱߩ㗻ߩ․ᓽࠍࠃࠅ㓙┙ߚߖߚቢᚑᐲ ߩ㜞޿㗻౮⌀࡟࡝࡯ࡈ߇ߢ߈ࠆߩߢߪߥ޿߆ߣ⠨߃ߡ޿ ࠆ㧚 ࿑ ⓭⿠ߩේ࿃

(8)

↹௝ಣℂࠍ೑↪ߒߚ⥄േ࡟࡝࡯ࡈ⵾૞ࠪࠬ࠹ࡓߩᬌ⸛㧔૒⮮߶߆㧕 ടᎿᣇᴺߩᲧセ  ੹࿁ߩ࡟࡝࡯ࡈ⵾૞ߢߪ 3D ࡊ࡝ࡦ࠲ߣࡑࠪ࠾ࡦࠣ࠮ࡦ ࠲ߩੑ⒳㘃ߩടᎿᯏߦࠃࠆ࡟࡝࡯ࡈߩㅧᒻࠍⴕߞߚ߇㧘3D ࡊ࡝ࡦ࠲ߩㅧᒻࡇ࠶࠴߇0.254mm ߥߩߦኻߒ㧘ࡑࠪ࠾ࡦࠣ ࠮ࡦ࠲ߩ઀਄ߍടᎿߩࡇ࠶࠴ߪ 0.05mm ߣ㕖Ᏹߦዊߐ޿ߩ ߢ㧘ߘࠇߙࠇߩ࡟࡝࡯ࡈߩ⴫㕙ᕈ⁁߿⚦߆޿ㇱಽߩౣ⃻ᐲ ߦߎࠇ߶ߤߩ㆑޿߇಴ߚߣ⠨߃ࠄࠇࠆ㧚࡟࡝࡯ࡈ⴫㕙ߩṖ ࠄ߆ߐ㧘⚦߆޿ㇱಽߩ⴫⃻ᐲߣ߽ߦടᎿࡇ࠶࠴ߩዊߐ޿ࡑ ࠪ࠾ࡦࠣ࠮ࡦ࠲ߦࠃߞߡടᎿߒߚ࡟࡝࡯ࡈߩ߶߁߇⦟޿⚿ ᨐ߇ᓧࠄࠇߚ㧚  ߒ߆ߒ㧘ടᎿ↪ߩCAD ࠺࡯࠲ߩ࠺࡯࠲ࠨࠗ࠭߇ᄢ߈޿ߣ CAM ࠰ࡈ࠻ߦࠃࠆടᎿ࠺࡯࠲ߩ૞ᚑ߇ߢ߈ߕ㧘࡟࡝࡯ࡈߩ ᚑဳ߇ⴕ߃ߥ޿ߥߤߩ໧㗴߽↢ߓߚ㧚ߎࠇߪ࠺࡯࠲ࠨࠗ࠭ ߇ᄢ߈ߔ߉ߚߚ߼㧘ࡄ࠰ࠦࡦߦࠃࠆಣℂ߇ㅊ޿ߟ߆ߥ߆ߞ ߚߎߣ߇ේ࿃ߣߒߡ⠨߃ࠄࠇࠆ㧚߹ߚࡃࠗ࠻ߩవ┵㐳ߐ߇ ࡟࡝࡯ࡈߩᦨᄢᓂࠅㄟߺࠃࠅ߽ዊߐ޿ߣࡑࠪ࠾ࡦࠣ࠮ࡦ࠲ ߦࠃࠆടᎿ߇ⴕ߃ߥ޿ߚ߼㧘ടᎿ࠺࡯࠲ࠍ૞ᚑߔࠆ㓙ߦࠛ ࡜࡯߇⴫␜ߐࠇߚߩߢߪߥ޿߆ߣ߽⠨߃ࠄࠇࠆ㧚৻ᣇ㧘3D ࡊ࡝ࡦ࠲ߦࠃࠆ࡟࡝࡯ࡈߪCAD ࠺࡯࠲ߩࠨࠗ࠭߇㕖Ᏹߦᄢ ߈ߊߥߞߡ߽࡟࡝࡯ࡈߩᚑဳࠍⴕ߁ߎߣ߇ߢ߈ߚ㧚߹ߚࡑ ࠪ࠾ࡦࠣ࠮ࡦ࠲ߣ㆑޿㧘ࡃࠗ࠻ߪ↪޿ߕ਄ᣇ߆ࠄࡕ࠺࡞᧚ ࠍⓍጀߔࠆߎߣߢࡕ࠺࡞ߩᚑဳࠍⴕ߁ߚ߼㧘࡟࡝࡯ࡈߩᦨ ᄢᓂࠅㄟߺߦ㑐ଥߥߊᚑဳ߇น⢻ߢ޽ࠆߣ޿߁ߎߣ߽޿߃ ࠆ㧚 㧥߹ߣ߼  ੹࿁㧘↹௝࠺࡯࠲߆ࠄ࡟࡝࡯ࡈ⴫㕙ߩಳಲߩᖱႎࠍขࠅ ಴ߒ㧘ࡑࠪ࠾ࡦࠣ࠮ࡦ࠲ߢടᎿߔࠆ৻ㅪߩၮᧄ⊛Ꮏ⒟ߩ⏕ ⹺ߪߢ߈ߚߣ⠨߃ࠆ㧚㗻↹௝ࠍ૶ߞߚ࡟࡝࡯ࡈߦߟ޿ߡ߽ ၮᧄ⊛ߥ↹௝ಣℂߦട߃㧘㗻㜞ߐ࠺࡯࠲ࠍ↪޿ࠆߎߣߢࠃ ࠅੱߩ㗻ࠄߒ޿࡟࡝࡯ࡈࠍ૞ᚑߢ߈ߚߣ޿߃ࠆ㧚ߒ߆ߒ⚦ ߆޿ㇱಽߦ໧㗴ὐߪᱷࠅ㧘ࠃࠅቢᚑᐲߩ㜞޿࡟࡝࡯ࡈ⵾૞ ߩὑߦߪߐࠄߥࠆᡷༀ߇ᔅⷐߛߣᗵߓߚ㧚ⷐὐࠍ߹ߣ߼ࠆ ߣએਅߩࠃ߁ߦߥࠆ㧚 㧔㆐ᚑ㧕 ࡮ᮡḰ↹௝ࠍ૶↪ߒߚ࡟࡝࡯ࡈ↹௝૞ᚑߩၮᧄ⊛ᚻᴺ ࡮㗻౮⌀↹௝࡟࡝࡯ࡈ߅޿ߡ㜞ߐ࠺࡯࠲ߩၮᧄ⊛ߥㆡᔕ ᣇᴺ ࡮↹௝࠺࡯࠲߆ࠄ3D-CAD ߦ⺒ߺㄟߺน⢻ߥὐ⟲࠺࡯࠲ߩ ૞ᚑ ࡮ടᎿᯏߢടᎿน⢻ߥCAD ࠺࡯࠲ߩ૞ᚑ ࡮3D ࡊ࡝ࡦ࠲㧘ࡑࠪ࠾ࡦࠣ࠮ࡦ࠲ߢߩ࡟࡝࡯ࡈടᎿ 㧔⺖㗴㧕 ࡮㗻⹺⸽ᛛⴚࠍ೑↪ߒߚ↹௝ಣℂᣇᴺߩᮨ⚝߹ߚߘࠇߦ ᔕߓߚ㗻౮⌀↹௝࡟࡝࡯ࡈߩ૞ᚑᣇᴺߩᡷༀ ࡮࠺࡯࠲ࠨࠗ࠭㧘ᤨ㑆ߩല₸ൻ  એ਄ߩ⺖㗴ࠍ〯߹߃㧘੹ᓟߪ㗻౮⌀߆ࠄ࡟࡝࡯ࡈࠍ૞ᚑ ߔࠆᚻᴺߦὶὐࠍ⛉ࠅ㧘ࠃࠅੱߩ㗻ߦㄭ޿߽ߩࠍ૞ࠆߚ߼ ߦߪߤ߁ߔࠇ߫ࠃ޿߆ߩᬌ⸽ࠍട߃㧘࡟࡝࡯ࡈߩᡷ⦟ࠍⴕ ߞߡ޿ߊ੍ቯߢ޽ࠆ㧚 㧔ᐔᚑ24 ᐕ 9 ᦬ 25 ᣣฃઃ㧕 㧔ᐔᚑ24 ᐕ 10 ᦬ 25 ᣣฃℂ㧕 ෳ⠨ᢥ₂  1) ↰਄໪ผ߶߆㧘ޟ3D-CAD ࠪࠬ࠹ࡓࠍ೑↪ߒߚ⥄േ࡟ ࡝࡯ࡈ⵾૞ߩᬌ⸛ޠ㧘ᾢᧄ㜞ኾ⎇ⓥ♿ⷐ╙㧟ภ (2011)㧘 pp.15-22㧚 2) ޟ࡟࡝࡯ࡈߣߪޠ́ᾖ᣿↪⺆ Weblio ㄉᦠ ෳ⠨URL: http://www.weblio.jp/content/ 3) ޟSolidWorks ߩ ScanTo3D ᯏ⢻ߦࠃࠆല₸⊛ߥࡕ࠺࡞ ૞ᚑᣇᴺ㧙3DCAD ✬㧙ޠ㧘CAD Japan

ෳ⠨URL: http://www.cadjapan.com/topics/3dcad/sw_scanto3d.html 4) ޟ3D ࡊ࡝ࡦ࠲࡯Dimensionޠ㧘ਣ⚃ᖱႎࠪࠬ࠹ࡓ࠭㧚 ෳ⠨URL: http://www.marubeni-sys.com/de/dimension/768.html 5) ᫪♖ᯏ⵾૞ᚲޟ⵾ຠᖱႎ㨨NV ࠪ࡝࡯࠭ޠ ෳ⠨URL: http://www.moriseiki.com/japanese/products/mcv/01/nv_in dex.html 6) ㈬੗ᐘᏒ㧘ޟ࠺ࠖࠫ࠲࡞↹௝ಣℂ౉㐷ޠ㧘ࠦࡠ࠽␠ (1997)㧘1 ┨㧚 7) ㈬੗ᐘᏒ㧘ޟ࠺ࠖࠫ࠲࡞↹௝ಣℂߩၮ␆ߣᔕ↪-ၮᧄ᭎ ᔨ߆ࠄ㗻↹௝⹺⼂߹ߢ-ޠ㧘CQ ಴ ␠ (2003)㧘1 ┨㧚 8) ㈬੗ᐘᏒ㧘ޟ࠺ࠖࠫ࠲࡞↹௝ಣℂߩၮ␆ߣᔕ↪-ၮᧄ᭎ ᔨ߆ࠄ㗻↹௝⹺⼂߹ߢ-ޠ㧘CQ ಴ ␠ (2003)㧘pp.102㧚 9) ㈬੗ᐘᏒ㧘ޟ࠺ࠖࠫ࠲࡞↹௝ಣℂߩၮ␆ߣᔕ↪-ၮᧄ᭎ ᔨ߆ࠄ㗻↹௝⹺⼂߹ߢ-ޠ㧘CQ ಴ ␠ (2003)㧘pp.47㧚 10) ㈬੗ᐘᏒ㧘ޟ࠺ࠖࠫ࠲࡞↹௝ಣℂߩၮ␆ߣᔕ↪-ၮᧄ᭎ ᔨ߆ࠄ㗻↹௝⹺⼂߹ߢ-ޠ㧘CQ ಴ ␠ (2003)㧘pp.38㧚 11) ㈬੗ᐘᏒ㧘ޟ࠺ࠖࠫ࠲࡞↹௝ಣℂߩၮ␆ߣᔕ↪-ၮᧄ᭎ ᔨ߆ࠄ㗻↹௝⹺⸽߹ߢ-ޠ㧘CQ ಴ ␠ (2003)㧘pp.25-28㧚 12) SolidWorks ߦߟ޿ߡߪਅ⸥ࠍෳ⠨ߦߒߚ㧚 ෳ⠨URL: http://help.solidworks.com/2010/japanese/SolidWorks/sldw orks/LegacyHelp/Sldworks/Overview/StartPage.htm

参照

関連したドキュメント

It is shown that plasma endothelial lipase (EL) activity inversely correlated with HDL-C levels, and EL activity in CAD patients was significantly higher than in non CAD

position by processing the image of preceding the cost function is concerned with the errors control.. of

In this artificial neural network, meteorological data around the generation point of long swell is adopted as input data, and wave data of prediction point is used as output data.

The goods and/or their replicas, the technology and/or software found in this catalog are subject to complementary export regulations by Foreign Exchange and Foreign Trade Law

By using the first order averaging method and some mathematical technique on estimating the number of the zeros, we show that under a class of piecewise smooth quartic

In this paper, first we give a theorem which generalizes the Banach contraction principle and fixed point theorems given by many authors, and then a fixed point theorem for

In this way the persistent homology of the point cloud X captures its essential topological features: the number of points is determined by the H 0 barcodes at small values of

Suppose D is a linear system. On the other hand, by the definition of a system composed with a pencil, the general curve of such a system may have a singular point only at the