↹ಣℂࠍ↪ߒߚ⥄േࡈࠪࠬ࠹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 ߪߓߦ ᧄ⎇ⓥߢߪ㧘↹࠺࠲ࠍ↪ߡ⥄േ⊛ߦࡈടᎿ ࠍⴕ߁ࠪࠬ࠹ࡓߩ㐿⊒ࠍߑߒߡࠆ㧚వߦ㧘ޟ3D-CAD ࠪ ࠬ࠹ࡓࠍ↪ߒߚ⥄േࡈߩᬌ⸛ޠ1)ߣߒߡ㧘ߘߩ ࠪࠬ࠹ࡓߩⷐࠍႎ๔ߒߚ߇㧘ߎߎߢߪᧄࠪࠬ࠹ࡓߩ↹ ಣℂㇱಽࠍਛᔃߦ㧘ߘߩ⁁ࠍႎ๔ߔࠆ㧚 ࡈߪ㧘ฎߊ߆ࠄੱ㑆ߩᚻࠅߢߐࠇߡ߈ߡ ࠆ߇㧘ቢోߥ┙ߣߪ⇣ߥࠅ㧘⁛⥄ߩಳಲ߇ᔅⷐߣ ߥࠆ㧚ᧄ⎇ⓥߢߪ㧘↹ಣℂᛛⴚߦࠃߞߡ㧘৻⥸⊛ߥ౮⌀ ↹߆ࠄࡈߦᔅⷐߥ․ᓽࠍขࠅߒ㧘⥄േ⊛ߦ ਃᰴర࠺࠲ࠍᚑߒ㧘ߎࠇࠍ3D-CAD ࠪࠬ࠹ࡓ߿ CAM ࠪ ࠬ࠹ࡓࠍᵴ↪ߔࠆߎߣߢ㧘ࡑࠪ࠾ࡦࠣࡦ࠲╬ߦࠃࠆ⥄േ ടᎿࠍታߔࠆߎߣࠍ⋡ᮡߣߒߡࠆ㧚ߣߊߦ㧘ᔅⷐߥ↹ ಣℂᛛⴚࠍ㐿⊒ᔕ↪ߔࠆߎߣߢ㧘ੱ㑆ߩᚻࠍⷐߒߥ ⥄േࡈടᎿࠪࠬ࠹ࡓ߇㐿⊒ߢ߈ࠆߣ⠨߃ߡࠆ㧚 ᧄ⎇ⓥߢߪ㧘↹࠺࠲ߩขࠅㄟߺ㧘↹ಣℂ㧘ὐ⟲࠺ ࠲ߩᚑ㧘ሽࠍMicrosoft Visual Basic ࠍߞߡᚑߒߚ㧚 ߹ߚ㧘↹ಣℂࡊࡠࠣࡓߦࠃߞߡᚑߒߚὐ⟲࠺࠲ߩ ⺒ㄟߺߣടᎿ࠺࠲ൻ╬ߪ3D-CAD ࠪࠬ࠹ࡓ SolidWorks ࠍ ↪ߒߚ㧚ߘߒߡ㧘ታ㓙ߩࡈᚑߦߪ3D ࡊࡦ࠲߅ ࠃ߮ࡑࠪ࠾ࡦࠣࡦ࠲ࠍ↪ߒߚ㧚 㧞 ࡈടᎿߦߟߡ ࡈߣߪ㧘৻ᨎߩ᧼ߦᓂࠅㄟߺ߿㜞ߐߩ㆑ߥߤߩ ಳಲࠍਈ߃ߡ┙⊛ߦߔࠆᶋᓂࠅ⚦Ꮏߩߎߣߢࠆ2)㧚 ᓂೞߩ৻⒳ߢࠅ㧘ᑪ‛ߩⵝ㘼ຠߣߒߡ⊒ዷߒ㧘࠼ࠕ߿ო 㕙ߥߤߦߒࠄࠊࠇߡࠆ߽ߩ߽ᄙ㧚ᓂೞߢߪࠆ߇㧘 ቢోߥਃᰴర⊛ߥᓂ႟ߣߪ⇣ߥࠅ㧘ੑᰴర⊛ߥ⛗↹ߦㄭ 㧘ੱᎿ⊛ߥടᎿᛛⴚ߇ᔅⷐߣߐࠇࠆ㧚ታ㓙ߩࡈߩ ࠍ㧘࿑ ߦ␜ߔ㧚 ࿑ߩࠃ߁ߦ㧘ࡈߦߪ㧘㜞ૐᏅ߇ᄢ߈ߊ┙⊛ߢᓂ ႟ߦㄭࡂࠗࡈߣ㧘᧼ߦߏߊᵻߊ㧔்ߩࠃ߁ߦ㧕 ᓂࠅߎߺ㧘⛗↹⊛ߥࠍߔࠆࡠࡈߣ߇ࠆ㧚ਛ 㑆⊛ߥ߽ߩ߽ࠆ߇㧘ࡠࡈߪੑᰴర⊛ߥ⛗↹ߦㄭ ᶋ߈ᓂࠅߢࠅ㧘ߎࠇࠄߩࡈߦ߅ߡߪ㧘ਃ ᰴర⊛ߥᖱႎࠍੑᰴర⊛ߥ⛗↹ߦᄌ឵ߒߡߊߚߩ ․ᱶߥᛛᴺ߇ᔅⷐߣߥࠆ㧚ᧄ⎇ⓥߢߪ㧘ߎ߁ߒߚ⥄േ ⊛ߥࡈࠍน⢻ߣߔࠆࠪࠬ࠹ࡓߩ㐿⊒ࠍߑߔ㧚 C㧕ࡠࡈ D㧕ࡂࠗࡈ ࿑ 㧚৻⥸⊛ߥࡈߩ * ኾ⑼ ↢↥ࠪࠬ࠹ࡓᎿቇኾ㧔㧦ᩣᑼળ␠ࡑ࠷࠳㧕 ** ၞࠗࡁࡌ࡚ࠪࡦࡦ࠲ *** ᯏ᪾⍮⢻ࠪࠬ࠹ࡓᎿቇ⑼ **** ᛛⴚࡦ࠲ ޥ866-8501 ᾢᧄ⋵ઍᏒᐔጊᣂ↸ 2627
Dept. of Mechanical and Intelligent Systems Engineering, 2627 Hirayama, Yatsushiro-shi, Kumamoto, Japan 866-8501
↹ಣℂࠍ↪ߒߚ⥄േࡈࠪࠬ࠹ࡓߩᬌ⸛㧔⮮߶߆㧕 㧟⥄േࡈࠪࠬ࠹ࡓ ߎߎߢߪࠪࠬ࠹ࡓᚑߩߚߩၮᧄ⊛ߥⵝ⟎߿࠰ࡈ࠻࠙ ࠚࠕ╬ߩⷐࠍ␜ߔ㧚 8KUWCN$CUKE ᧄ⎇ⓥߢߪ㧘↹߆ࠄࡈടᎿ↪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↹ߩขࠅᛒ߇◲නߢࠆ㧚ᧄ⎇ⓥߢߪ㧘 ↹ౝߩ↹⚛ߏߣߩಣℂߩ㜞ㅦൻߩߚ㧘↹ಣℂ↪ߩ Windows API 㑐ᢙࠍ↪ߒ㧘ࡊࡠࠣࡓߩ㜞ㅦൻࠍ࿑ߞߚ㧚 &%#& ࠪࠬ࠹ࡓ ὐ⟲࠺࠲ߩ⺒ㄟߺ㧘ࡔ࠶ࠪࡘൻࠨࡈࠚࠬൻ࠰࠶ ࠼ 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ࡃࠬࠛ ࡦࠫ࠾ࠕࡦࠣߥߤߢ↪ߐࠇࠆ 3 ᰴర࠺࠲ߩ⺒ߺขࠅ ߥߤࠍⴕ߁Scan to 3D ᯏ⢻߽߃ߡ߅ࠅ㧘ታ‛ߩຠ߆ࠄਃ ᰴర᷹ቯᯏߦࠃߞߡขࠅㄟࠎߛὐ⟲࠺࠲ࠍࡔ࠶ࠪࡘൻ ࠨࡈࠚࠬൻ࠰࠶࠼ൻߔࠆߎߣ߇น⢻ߢࠆ㧚߹ߚ㧘 ᭽ޘߥਃᰴరࡈࠔࠗ࡞ࡈࠜࡑ࠶࠻㧔XYZ㧘TXT㧘ASC㧘 STL㧘IGES㧘VDA…㧕ߦ߽ኻᔕߒߡࠆ3)㧚 ࿑2 ߦ㧘SolidWorks ߩേ↹㕙ࠍ␜ߔ㧚 & ࡊࡦ࠲ ᧄ ࠪ ࠬ ࠹ ࡓ ߢ ߩ ࡈ ߩ ᣇ ᴺ ߩ ৻ ߟ ߣ ߒ ߡ STRATASYS ␠ߩਃᰴరㅧᒻᯏ(3D ࡊࡦ࠲) Dimension BST 768 ࠍ↪ߒߚ㧚Dimension ߪ㧘CAD ࠺࠲ࠍ↪ߡࡕ ࠺࡞ࠍਃᰴర(┙)ߢㅧᒻߔࠆࡊࡦ࠲ߢࠆ㧚ㅧᒻᣇᴺߪ PC ߢᓮߐࠇߚࡋ࠶࠼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⢻ߢࠆ4)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࠻࠙ࠚࠕߢࠆ㧚ࠬ ࠗࠬࡇ࠶࠴㧘ࠬࠤ࡞㧘ౝㇱ᭴ㅧߥߤߩ⸳ቯࠍⴕ߁ߎߣ ߇ߢ߈㧘ㅧᒻߦ↪ߔࠆࡕ࠺࡞᧚߿ࠨࡐ࠻᧚ߩ㊂߿ㅧᒻ ᤨ㑆ߥߤߩ⸘▚߽ⴕ߃ࠆ㧚SolidWorks ߢᚑߒߚ 3D ࡕ࠺࡞ ࠍSTL ᒻᑼߢሽߔࠆߎߣߢ㧘Dimension ࠍ↪ߒߚㅧᒻ߇ น⢻ߦߥࠆ㧚 ࡑࠪ࠾ࡦࠣࡦ࠲ ࡑࠪ࠾ࡦࠣࡦ࠲ߣߪ㧘⥄േᎿౕ឵⢻ജ߇ࠅ㧘Ꮏౕ ࠍ࿁ォߐߖߡടᎿߔࠆᄙᯏ⢻ಾടᎿ NC Ꮏᯏ᪾(ో☨Ꮏ ᯏ᪾ቇળ)ߩߎߣߢࠆ㧚ᧄ⎇ⓥߢߪ㧘ᩣᑼળ␠♖ᯏ ᚲ┙ᒻࡑࠪ࠾ࡦࠣࡦ࠲NV5000 A/40 ࠍ↪ߒߚ5)㧚 ࿑4 ߦ㧘ߘߩᄖⷰࠍ␜ߔ㧚 ࡑࠪ࠾ࡦࠣࡦ࠲ 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ຠߥߤᐢᯏ᪾ടᎿߦኻᔕߔࠆ CAM ࠰ࡈ࠻࠙ࠚࠕ ߢࠆ㧚ᧄ⎇ⓥߢߪ㧘ࡑࠪ࠾ࡦࠣࡦ࠲ߢߩടᎿ᧦ઙ⸳ቯ㧘 ࠷࡞ࡄࠬߩᚑ㧘ࠪࡒࡘ࡚ࠪࡦߥߤࠍⴕߞߚ㧚 ࿑ 5QNKF9QTMU ߩേ↹㕙 ࿑ & ࡊࡦ࠲ ࿑ ࡑࠪ࠾ࡦࠣࡦ࠲
C.GPPC ↹ D㗻౮⌀↹ ࿑ ࡈߦ↪ߒߚ↹ 㧠↹ಣℂࡊࡠࠣࡓ ࿁ߩ⎇ⓥߢߪ㧘VisualBasic ߦࠃࠅᚑߒߚࡊࡠࠣࡓ ߦࠃߞߡ↹࠺࠲߆ࠄടᎿ࠺࠲߳ߩᄌ឵ࠍⴕߞߚ㧚ᧄ ࡊࡠࠣࡓߢ⺒ߺㄟ࠺࠲ߪ JPEG ߣࡆ࠶࠻ࡑ࠶ࡊߩੑ ⒳㘃ߢࠆ㧚 ࿁ߩᬌ⸛ߢߪ㧘ᦨೋ㧘↹ಣℂߥߤߩಽ㊁ߢᮡḰ↹ ߣߒߡᄙߊࠊࠇߡࠆޟLenna ↹ޠࠍ↪ߒߡ㧘 ࡈᚻᴺߩࡊࡠࠬߩ⏕ࠍⴕߞߚ㧚ߘߩᓟ㧘ታ㓙ߦࠞ ࡔߢᓇߒߚੱߩ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ᢙߢࠆੑᰴరାภ 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ߦࠃߞߡߐࠇࠆ㧚 ↹ಣℂߢ৻⥸⊛ߦ↪ࠄࠇࠆಣℂᚻᴺ6) ߪ㧘࿑6 ߩ⎕ ✢ߢ␜ߔࠃ߁ߦᵈ⋡↹⚛(i,j)ࠍߚㄭறࠍኻ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↹ಣℂߦߟߡ␜ߔ7)㧚 ࠣࠬ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ᐲ୯ࠍߒߡ ࠆ㧚ノᐲ୯Y ߇㜞߶ߤ⊕ߦㄭ↹⚛㧘ノᐲ୯߇ૐ߶ߤ 㤥ߦㄭ↹⚛ߣߥࠆ8)㧚 ੑ୯ൻ ኻ⽎↹⚛ߩノᐲ୯ߦߟߡ㧘ߘߩ୯ߣ⸳ቯߒߚ㑣୯ߣࠍ Ყセߒߡ㤥㧔0㧕ߣ⊕㧔255㧕ߩߺߩノᐲ୯ߦᄌ឵ߔࠆߎߣ ࠍੑ୯ൻߣ߁9)㧚㑣୯ࠍ⸳ቯߔࠆᣇᴺߪߊߟ߆ࠆ߇㧘 ᧄࡊࡠࠣࡓߢߪ㧘ノᐲ୯ߩࡅࠬ࠻ࠣࡓࠃࠅ㑣୯ࠍㆬቯ ߔࠆ࿕ቯ㑣୯ಣℂߣ㧘್ಽᨆᴺߦࠃࠆ⥄േ㑣୯ಣℂߩੑ ⒳㘃ࠍ߃ߡࠆ㧚 ࠛ࠶ࠫ ↹ߩỚᐲ߿⦡㧘ᮨ᭽ߥߤߩ․ᓽ߇ૃߡࠆㇱಽࠍ৻ߟ ߩ㗔ၞߣቯߔࠇ߫㧘㗔ၞߣ㗔ၞߣߩႺ⇇ߢߪノᐲ୯ߥߤ ߇ᕆỗߦᄌൻߔࠆ㧚ࠣࠬࠤ࡞↹ࠆߪࠞ↹ ࠍ↪ߚ႐วߢ߽㧘↹⚛㑆ߩỚᐲᏅ߆ࠄ㗔ၞߩႺ⇇㧔ࠛ ࠶ࠫ㧕ࠍᬌߔࠆߎߣ߇ߢ߈ࠆ㧚ᧄࡊࡠࠣࡓߢߪ㧘ᓸಽ ࡈࠖ࡞࠲ߣߒߡPrewitt ࡈࠖ࡞࠲ࠍ㧘↹߆ࠄ‛ᒻ⁁ ߩベㇳ㧔ࠛ࠶ࠫ㧕ࠍขࠅߒߡࠆ10)㧚࿑7 ߦ Prewitt ࡈࠖ ࡞࠲ߩࠝࡍ࠲ࠍ␜ߔ㧚 ࠦࡦ࠻ࠬ࠻ߩᡷༀ ↹ߩࠆㇱಽߣᥧㇱಽߩࠆߐߩᲧߩߎߣࠍࠦࡦ ࠻ࠬ࠻ߣ߮㧘↹߇ࠆߔ߉ࠆ߹ߚߪᥧߔ߉ࠆ↹ߪ ࠦࡦ࠻ࠬ࠻߇ᖡߣ߃ࠆ㧚ࠦࡦ࠻ࠬ࠻߇ᖡߣ↹ ౝߩኻ⽎‛ߣ⢛᥊ߣߩ߇ߪߞ߈ࠅߖߕ㧘․ᓽࠍߔ ࠆߎߣ߇࿎㔍ߦߥࠆߎߣ߇ࠆ㧚 ࠦࡦ࠻ࠬ࠻ࠍᡷༀߔࠆ↹ಣℂߢߪࠟࡦࡑᱜ߇ࠃߊ ⍮ࠄࠇߡࠆ㧚ࠟࡦࡑᱜߪ㕖✢ᒻߥᄌ឵ᑼࠍ↪ߒ㧘↹ ߩࠦࡦ࠻ࠬ࠻ࠍᡷༀߔࠆ߽ߩߢࠆ㧚એਅߦࠟࡦࡑ ᱜߩᄌ឵ᑼࠍ␜ߔ㧚ߥ߅ᑼਛߩzm ߪỚᐲ୯ߩᦨᄢࠍߒ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࠲
↹ಣℂࠍ↪ߒߚ⥄േࡈࠪࠬ࠹ࡓߩᬌ⸛㧔⮮߶߆㧕 z ߣ z' ߪߘࠇߙࠇജ↹ߣജ↹ߩỚᐲ୯ࠍߔ㧚 ߎߩᑼߦ߅ߡ↹ࠍࠆߊߔࠆ႐วߪγ < 1㧘ᥧߊߔࠆ႐ วߪγ > 1 ߣߥࠆࠃ߁ߦ γ ߩ୯ࠍ⸳ቯߔࠆ11)㧚 ↹ߩวᚑ ৻ߟߩ↹߆ࠄหᤨߦⶄᢙߩ․ᓽࠍ߽ߞߚ↹ࠍᚑߔ ࠆߎߣߪ㕖Ᏹߦ࿎㔍ߢࠆ㧚ߘߎߢᧄࡊࡠࠣࡓߪ㧘ੑᨎ ߩ↹ߩߘࠇߙࠇߩ․ᓽࠍߒߚ↹ࠍࠅߔߚߦ㧘 ੑᨎߩ↹ࠍวᚑߔࠆᯏ⢻ࠍ߃ߡࠆ㧚ߎࠇߦࠃߞߡࠣ ࠬࠤ࡞ߦࠃࠆノᐲ୯ߩಳಲߣࠛ࠶ࠫߦࠃࠆ↹ ߩベㇳߩਔᣇߩ․ᓽࠍ߃ߚ↹ࠍᚑߔࠆߎߣ߇ߢ߈ ࠆ㧚↹ࠍวᚑߔࠆ㓙ߪวᚑߩᲧ₸ࠍᄌ߃ࠆߎߣߢ ᣇߩ ↹ߩ․ᓽࠍᒝߊߒߚวᚑ↹߽ᚑߢ߈ࠆ㧚࿑ 8 ߪ㧘 ࠣࠬࠤ࡞↹ߣࠛ࠶ࠫ↹ߩᲧ₸ࠍ7㧦3 ߢวᚑߒߚ ⚿ᨐߢ㧘ㅢᏱߩࠣࠬࠤ࡞↹ߦࠛ࠶ࠫ㕙߇ടࠊߞߚ ↹ߣߥࠆ߇㧘ߎࠇߦࠃߞߡ㜬߿㗻ߩႺ⇇߇⏕ߦߥࠆ㧚 㗻↹ߣ㗻㜞ߐ࠺࠲ߩวᚑ ᧄࡈࠪࠬ࠹ࡓߢߪ ▵ߢ␜ߒߚวᚑ↹ߩ ノᐲ୯ࠍ㧘ၮᧄ⊛ߥߩടᎿ㜞ߐ࠺࠲ߣߒߡߞߡࠆ㧚 ࿑ ベㇳ↹ߣỚ᷆↹ߩวᚑ C㗻㜞ߐ࠺࠲ Dวᚑ⚿ᨐ ࿑ 㗻㜞ߐ࠺࠲ߣ↹ߩวᚑ C6:6 ࠺࠲D5QNKF9QTMU ߢߩ␜ ࿑ ↹࠺࠲ࠃࠅᚑߒߚὐ⟲࠺࠲ ߚߛ㧘วᚑ↹ߛߌࠍߞߡࡈࠍߒߚ႐ว㧘⡼ ߿㜬ㇱಽߥߤߩㇱಽߩỚᐲᏅ߇ዊߐߊ㧘ᚑߐࠇࠆ ࡈߪᐔမߢ㧘৻⥸⊛ߥ㗻ߩಳಲߣ⇣ߥࠆᒻ⁁ߩࡈߦ ߥߞߡߒ߹߁㧚ߘߎߢᧄ⎇ⓥߢߪ㧘੍ੱߩ߅㕙ࠍ3D ࠬࠠ ࡖ࠽ߢ⺒ߺㄟߺ㧘㗻㜞ߐ࠺࠲ߣߒߡ↪ߔࠆߎߣߦߒߚ㧚 ࿑9 a) ߇ᚑߒߚ㗻㜞ߐ࠺࠲ߩ↹ߢࠆ㧚ߎࠇߦ㧘㗻 ↹ࠍวᚑߔࠆߎߣߢ㧘ࠃࠅੱߩ㗻ࠄߒࡈ߇ ߢ߈ࠆߣ⠨߃ߚ㧚࿑9 b) ߪ㗻㜞ߐ࠺࠲ߣวᚑ↹ࠍ 4㧦6 ߩഀวߢวᚑߒߚ⚿ᨐߢ㧘৻⥸⊛ߥ㗻ᒻ⁁ߦߦ㧘ੱߩ 㗻߇ᛩᓇߐࠇߚ⚿ᨐߣߥߞߡࠆ㧚Ყ₸ߦߟߡߪ㧘↹ ᚲߩශ⽎߆ࠄߡࠆ㧚ߥ߅㧘㗻↹ߣ㗻㜞ߐ࠺࠲ߪ ਅᏀฝ߇৻⥌ߔࠆࠃ߁ߦᄢ߈ߐࠍᄌᦝߒߡวᚑߒߚ㧚 ↹࠺࠲߆ࠄ %#& ࠺࠲߳ߩᄌ឵ ↹ಣℂࡊࡠࠣࡓߦࠃߞߡಣℂࠍᣉߒߚ↹࠺࠲ࠍ SolidWorks ߦ⺒ߺㄟߺน⢻ߥ TXT ᒻᑼߩὐ⟲࠺࠲㧔XYZ㧕 ߦᄌ឵ࠍⴕ߁㧚↹࠺࠲ߩฦ↹⚛f(x,y)ߩᐳᮡࠍਃᰴరࡕ ࠺࡞ߩX ᐳᮡY ᐳᮡߦ⟎߈឵߃㧘↹⚛ߩỚᐲ୯ࠍ ࡈߩ㜞ߐߣߥࠆZ ᐳᮡߦ⟎߈឵߃ߡਃᰴరࡕ࠺࡞ߩ XYZ ᐳ ᮡߣߥࠆὐ⟲࠺࠲ࠍᚑߒߚ㧚ߎߩ㓙㧘XY ߣ Z ߩࠬࠤ ࡞Ყࠍ200㧦1 ߣߒ㧘ࠃࠅᐔ㕙ߦㄭᒻߦߥࠆࠃ߁ߦߒߚ㧚 ࿑10 ߦ TXT ࡈࠔࠗ࡞ᒻᑼߩὐ⟲࠺࠲ߣ SolidWorks ߦ ࠃߞߡขࠅㄟࠎߢ␜ߒߚࠍ␜ߔ㧚 㧡㧚&%#& ࠪࠬ࠹ࡓߢߩടᎿ࠺࠲ߩᚑ 3D-CAD SolidWorks ߢࡈടᎿߩၮ␆ߣߥࠆਃᰴ ర࠺࠲ߩᚑࠍⴕ߁㧚ߎߎߢߪߘߩᚻ㗅ࠍ␜ߔ12)㧚 ࡔ࠶ࠪࡘൻ ࡔ࠶ࠪࡘൻߪขࠅㄟࠎߛὐ⟲࠺࠲ࠍ߽ߣߦ㧘┙ⓨ㑆 ߦዊߐߥ㕙ࠍ᭴ᚑߔࠆᬺߢࠆ㧚࿁ߪਃⷺᒻߩ㕙ߢ ᭴ᚑߔࠆᠲࠍⴕߞߚ㧚Scan to 3D ߢߪ㧘ၮὐ߆ࠄᦨ߽ㄭ 2 ὐߣ㧘ၮὐߩ 3 ὐࠍ⚿ࠎߢਃⷺᒻࠍࠆ㧚ߘߩߚ㧘 XY ߣZ ࠬࠤ࡞Ყࠍ⺞ᢛߔࠆߎߣߢ㧘XY ᐔ㕙ߦ߅ߡ㓞ࠅว ߁ὐࠍ⏕ታߦࡔ࠶ࠪࡘߢߟߥߋߎߣ߇น⢻ߣߥࠅ㧘࠺࠲ ߩ⍴⛊ߥߤ߽ߥߊ㧘రߩ↹ߦㄭᒻߩࡔ࠶ࠪࡘࠍ↢ᚑߔ ࠆߎߣ߇ߢ߈ߚ㧚
ࠨࡈࠚࠬൻ Scan to 3D ߩᯏ⢻ߢߪ㧘ࠨࡈࠚࠬߩ⾍ࠅઃߌᣇᴺߣߒ ߡ㧘⥄േᚑߣ⺃ዉᚑߩ 2 ߟ߇ࠆ㧚⺃ዉᚑߢߪ㧘ಽ ഀ㕙ߩᜰቯ߿⾍ࠅઃߌࠆࠨࡈࠚࠬߩᕈ⾰ߩᜰቯߥߤࠍᠲ ⠪߇ᜰቯߔࠆߎߣ߇ߢ߈ࠆ㧚න⚐ߥᒻ⁁ߩ‛ߥߤߢߪ㧘 ߎߜࠄࠍ↪ߔࠆߎߣ߇ᄙ߇࿁ߪ㧘↹ࠍరߦ ࡈࠍᚑߔࠆߎߣ߆ࠄ㧘⾍ࠅઃߌࠆࠨࡈࠚࠬߩᢙ߇⤘ᄢ ߦߥࠅ㧘⺃ዉᚑߢߩᬺߪ࿎㔍ߢࠆ㧚ߒߚ߇ߞߡ⥄േ ᚑߦࠃߞߡࠨࡈࠚࠬࠍᚑߔࠆߎߣߦߒߚ㧚 ⥄േᚑߪࡔ࠶ࠪࡘߩᒻ⁁ߦᔕߓߡᔅⷐߥᕈ⾰ߩࠨࡈ ࠚࠬࠍ⥄േ⊛ߦ⾍ࠅઃߌࠆᯏ⢻ߢࠆ㧚ࠨࡈࠚࠬߩ♖ᐲ ߩㆬᛯ߇ߢ߈㧘♖ᐲࠍ㜞ߊߔࠆߣࠃࠅᱜ⏕ߥߢ߈ࠆ㧚 ߒ߆ߒ㧘ࠨࡈࠚࠬᚑᓟߩࠛ߿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ࠨࡈࠚࠬᢙ߇ 2000 ᨎ೨ᓟ⒟ᐲߦߥࠆࠃ߁ߦ♖ᐲࠍᜰቯߒߚ㧚ߎ߁ߒߡᚑߒ ߚࠨࡈࠚࠬߦ߽ࠛ߇߹ࠇߡࠆߩߢ㧘ࠛࠨ ࡈࠚࠬߩ㒰㧘ࡈࠖ࡞ߥߤߦࠃࠆⓣၒᬺ߇ᔅⷐߣߥࠆ㧘 ߎࠇߪᚻേߢⴕߞߚ㧚 ࠰࠶࠼ൻ ࠨࡈࠚࠬൻߢߢ߈߇ߞߚࠨࡈࠚࠬߪ↹࠺࠲ノ ᐲ୯ߦࠃࠆಳಲߢࠅ㧘ࡈߦ߅ߡߪᓂࠅㄟߺ㕙ߩ ߺߢࠆ㧚ࠃߞߡ㕙㧘ᐩ㕙╬ࠍട߃ࠆᔅⷐ߇ࠆ㧚ߘߒ ߡߎࠇࠄߩ✬ߺวࠊߖߩḰߣߒߡ㧘ਇⷐㇱಽߩ࠻ࡓಣ ℂࠍⴕ߁㧚ᦨᓟߦⓣၒߥߤࠍ㧘ోߡߩࡄ࠷ࠍ✬ߺ วࠊߖߡ࠰࠶࠼ࠍᚑߔࠆ㧚ߎࠇࠄߩ࠰࠶࠼ൻࠍߔࠆ 㓙ߦ㧘↢ᚑߒߚࠨࡈࠚࠬߩ┵ㇱߦࠛ߇ᄙߊ⊒↢ߒ㧘 ߎߩࠛߩୃᱜߦᄙߊߩᤨ㑆ࠍᔅⷐߣߔࠆߎߣ߇ಽ߆ߞ ߚߚ㧘↹ಣℂࡊࡠࠣࡓߩᓟಣℂߦ㧘৻⒳ߩ⓹㑐ᢙߩ ࠃ߁ߦ┵ㇱߩ࠺࠲ࠍ৻ቯ୯ߦ᧤ߐߖࠆᯏ⢻ࠍㅊടߒ ߚ㧚ߎߩᯏ⢻ߦࠃߞߡ↢ᚑࠨࡈࠚࠬ┵ㇱߦ߅ߌࠆ࠰࠶ ࠼ൻߩ㓙ߩࠛࠍᷫዋߐߖࠆߎߣ߇ߢ߈ߚ㧚 ടᎿ࠺࠲߳ߩᄌ឵ SolidWorks ߦࠃߞߡᚑߒߚ CAD ࠺࠲㧔࠰࠶࠼ࡕ࠺ ࡞㧕ࠍ߽ߣߦࡑࠪ࠾ࡦࠣࡦ࠲߿3D ࡊࡦ࠲ߢടᎿࠍⴕ߁ ߚߦߪ㧘ߐࠄߦടᎿᯏߦߞߚ࠺࠲ߩᄌ឵ࠍⴕ߁ᔅⷐ ߇ࠆ㧚 ࿁↪ߒߚਃᰴరㅧᒻᯏ㧔3D ࡊࡦ࠲㧕ߪ STL ࡈࠔࠗ ࡞ࠍ⺒ߺㄟߺ㧘ടᎿࠍⴕ߁㧚STL ߪ facet ߣ߫ࠇࠆਃߟߩ 㗂ὐߩᐳᮡߣᴺ✢ࡌࠢ࠻࡞ߦࠃࠆන⚐ߥਃⷺᒻࡐࠧࡦߩ 㓸วߦࠃߞߡ᭽ޘߥᒻ⁁ࠍߔࠆ㧚facet ᢙ߇ᄙߊߥࠆ߶ ߤṖࠄ߆ߥᦛ✢ࠍߔࠆߎߣ߇น⢻ߛ߇㧘ߘߩಽࡈࠔࠗ Cࡔ࠶ࠪࡘൻDࠨࡈࠚࠬൻ E࠰࠶࠼ൻ ࿑ &%#& ࠪࠬ࠹ࡓߢߩ࠺࠲ᚑ ࡞ࠨ߽ࠗ࠭ᄢ߈ߊߥࠅ㧘ᠲᕈߦᓇ㗀߇↢ߓࠆ㧚 ৻ᣇ㧘ࡑࠪ࠾ࡦࠣࡦ࠲ߢߩടᎿߦߪIGES ࡈࠔࠗ࡞ࠍ ↪ߔࠆ㧚IGES ߪ⇣ߥࠆ CAD ࠪࠬ࠹ࡓ㑆ߢߩ࠺࠲ߩ߿ࠅ ขࠅࠍน⢻ߣߔࠆߚߦቯߐࠇߚᮡḰࠗࡦ࠲ࡈࠚࠬ ߢ㧘ఝࠇߚ឵ᕈࠍᜬߜ㧘CAD ࠺࠲឵ߦ߅ߌࠆታ⾰⊛ ߥ⇇ၮḰߢࠆ㧚ߒ߆ߒ㧘ߔߴߡߩCAD ࠪࠬ࠹ࡓߩ᭽ ߦኻᔕߒߡߪ߅ࠄߕ㧘࠺࠲឵ߩ㓙ߦߪ৻⇟឵ᕈ߇㜞 ᒻᑼߦ⠡⸶ߔࠆᔅⷐ߇ࠆ㧚ߎߩߚ㧘ቢోߥSolidWorks ߩ࠺࠲ࠍฃߌᷰߔߎߣߪߢ߈ߥ߇㧘࿁ߩࡈߩ ⹜Ბ㓏ߢߪᄢ߈ߥ㗴ߣߪߥࠄߥ߆ߞߚ㧚 㧢㧚ടᎿᯏߦࠃࠆࡈߩ⥄േ &%#& ࠪࠬ࠹ࡓߢᚑߒߚ ᰴరടᎿ࠺࠲ࠍ߽ߣߦ㧘 ࡈߩ⥄േടᎿࠍⴕߞߚ㧚 & ࡊࡦ࠲ߦࠃࠆടᎿ ᧄ⎇ⓥߢ↪ߒߚ3D ࡊࡦ࠲ߢߩടᎿߢߪ㧘߹ߕㅧᒻᯏ ߩઃዻ࠰ࡈ࠻࠙ࠚࠕߢࠆCatalystEX 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৻ቯߩᒝᐲߪߜߟ 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
↹ಣℂࠍ↪ߒߚ⥄േࡈࠪࠬ࠹ࡓߩᬌ⸛㧔⮮߶߆㧕 㧚8KUWCN/KNN ߦࠃࠆಾᎿ⒟᧦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࠾ࡦࠣࡦ࠲ߦࠃࠆടᎿ ࿁ߩࡑࠪ࠾ࡦࠣࡦ࠲ߦࠃࠆࡈߢߪ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৻ቯߩὐࠍࠍឬߊࠃ߁ߦಾߒ ߡߊടᎿᴺߢ㧘╬㜞✢ߦᴪߞߚᦛ㕙߇ᄸ㤀ߦടᎿߢ߈ࠆ㧚 ৻ᣇ㧘ᩏ✢ടᎿߪ❑ᮮ 1 ᣇะߦ࠷࡞ࠍᩏߐߖ㧘ࡇ࠶ ࠴ߏߣߦ㜞ߐࠍᄌ߃ߥ߇ࠄടᎿࠍⴕ߁ߩߢ㧘Ყセ⊛ㅦㅦ ᐲߢടᎿߢ߈㧘xy ᣇะߦᴪߞߚṖࠄ߆ߥ㕙ࠍᓧࠆߎߣ߇ߢ ߈ࠆ㧚ߍടᎿߢߪ㧘߹ߕ╬㜞✢ടᎿࠍ↪㧘ᰴߦᩏ ✢ടᎿࠍㅊടߔࠆߎߣߢ㧘ടᎿ㕙ߩะࠍ࿑ߞߚ㧚㧝ߦ㧘 ฦടᎿߦ߅ߌࠆࡃࠗ࠻ᓘ߿ㅍࠅㅦᐲ╬ߩ᧦ઙࠍ␜ߔ㧚 㧣ࡈടᎿ⚿ᨐ ᧄ⎇ⓥߢߪ㧘೨ㅀߩߣ߅ࠅ Lenna ↹ߣ㗻↹ࠍߞߡ ࡈߩࠍⴕߞߚ㧚એਅߦߘࠇߙࠇߩ↹ࠃࠅ ߒߚࡈߩ⚿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↹ࠍߞߚࡈߪ㧘Lenna ↹ߣห ᭽ߦࠣࠬࠤ࡞↹ߣࠛ࠶ࠫ↹ࠍวᚑߒߚ↹ߦ㧘 㜬ㇱಽߦߩߺࠦࡦ࠻ࠬ࠻ᱜࠍᣉߒ㧘㗻㜞ߐ࠺࠲ࠍว ᚑߒߚ↹ࠍࡈ↹ߣߒߡ↪ߒߚ㧚 .GPPC ↹ࠍ↪ߚࡈ Lenna ↹ࠍ↪ߚࡈߪ㧘࿑ 12 a)ࠍࡈ↹ ߣߒߡ㧘3D ࡊࡦ࠲ߣࡑࠪ࠾ࡦࠣࡦ࠲ߩੑ⒳㘃ߩടᎿᯏ ࠍߞߡࡈߩㅧᒻࠍⴕߞߚ㧚࿑12 b) c)ߪߘࠇߙࠇ 3D ࡊࡦ࠲ߣࡑࠪ࠾ࡦࠣࡦ࠲ߢߒߚࡈߢࠆ㧚 ࡈߩᣇ߿శߩᒰߚࠅᣇߦࠃߞߡᄌࠊࠆ߇㧘ਔᣇ ߣ߽రߩࡈ↹ߦㄭࡈࠍౣߢ߈ߚߣ߃ ࠆ㧚ߒ߆ߒᧄ⎇ⓥߢߪ㧘↹ߩỚᐲ୯ߦࠃߞߡࡈߩ ಳಲࠍౣߒߡࠆߚ㧘Ᏺሶߩ㘼ࠅ߿㜬ߥߤታ㓙ߩ߽ߩ ߣߪಳಲߩ㑐ଥ߇ㅒߦߥߞߡࠆㇱಽ߽ࠄࠇࠆ㧚 Cࡈ↹ D& ࡊࡦ࠲ߢEࡑࠪ࠾ࡦࠣࡦ࠲ ࿑ .GPPC ↹ࠍߞߚࡈ⚿ᨐ 3D ࡊࡦ࠲ߦࠃࠆࡈߣࡑࠪ࠾ࡦࠣࡦ࠲ߦࠃࠆ ࡈࠍᲧセߔࠆߣ㧘3D ࡊࡦ࠲ߦࠃࠆࡈߪ㧘㕙 ♖ᐲ߇☻ߊⓍጀဳߦߥߞߡࠆߩߦኻߒ㧘ࡑࠪ࠾ࡦࠣࡦ ࠲ߦࠃࠆࡈߪㅪ⛯⊛ߢṖࠄ߆ߥᦛ✢ࠍߢ߈ߡ߅ ࠅ㧘Ᏺሶ㘼ࠅߥߤ⚦߆ߥㇱಽ߽߈ࠇߦߐࠇߡߚ㧚 ߥ߅㧘ടᎿߦⷐߒߚᤨ㑆ߪ3D ࡊࡦ࠲ࡑࠪ࠾ࡦࠣࡦ࠲ ߣ߽ߦ⚂7 ᤨ㑆⒟ᐲߢߞߚ㧚 㗻↹ࠍ↪ߚࡈ ߹ߕࠣࠬࠤ࡞↹ߣࠛ࠶ࠫ↹ࠍวᚑߒߚ↹ࠍ ߞߡߒߚࡈߩ⚿ᨐࠍㅀߴࠆ㧚࿑13 ߦరߩ ࡈ↹ߣ3D ࡊࡦ࠲ߦࠃࠅߒߚࡈࠍ␜ߔ㧚ߎ ߩࡈ߽రߩࡈ↹ࠍࠆ⒟ᐲౣߒߚ ࡈߣߥߞߚ㧚ࠛ࠶ࠫ↹ߩᚑಽ߇ലߡߡ㧘⢛᥊ߣߩႺ ⇇߽ߒߞ߆ࠅߣࠊࠇߡߚ㧚ߒ߆ߒੱ㑆ߩ㗻߇↹ߩ߶ ߣࠎߤࠍභߡࠆߚ㧘5.1 ▵ߢㅀߴߚࠃ߁ߥታ㓙ߩੱ㑆 ߩ㗻ߣᲧセߒߚߣ߈ߩಳಲߩਇ⥄ὼߐ߇㗼⪺ߦࠄࠇߚ㧚 ߹ߚ㧘㜬⾰߿⡊ߩߒࠊߥߤ⚦߆ಳಲߪ߶ߣࠎߤౣߢ߈ ߡ߅ࠄߕ㧘㜬ㇱಽߦߟߡߪ߶߷ᐔ㕙ߦᓂࠅㄟࠎߛࠃ߁ߥ ᒻߦߥߞߚ㧚 ᰴߦࠦࡦ࠻ࠬ࠻ᱜߣ㗻㜞ߐ࠺࠲วᚑࠍⴕߞߚ↹ ࠍߞߡߒߚࡈߩ⚿ᨐࠍㅀߴࠆ㧚࿑14 ߦరߩ ࡈ↹ߣ3D ࡊࡦ࠲ߢߒߚࡈࠍ␜ߔ㧚ߎߜ ࠄߩࡈߪੱߩ㗻ߩ㜞ߐ࠺࠲ࠍ⋥ធวᚑߒߡࠆߚ 㧘ੱߩ㗻ߣᲧߴߚ㓙ߩಳಲߩਇ⥄ὼߐߪዋߥߊߥߞߚ㧚 ߹ߚ㧘㜬ㇱಽߩࠦࡦ࠻ࠬ࠻ࠍࠆߊߒߚߎߣߢ㧘㜬ㇱಽ ߦ߽┙ᗵ߇ߡ߅ࠅ㧘ోߣߒߡࠃࠅੱߩ㗻ߦㄭ
Cᚑߒߚ↹ Dࡈ⚿ᨐ ࿑ ࠣࠬࠤ࡞↹ࠛ࠶ࠫ↹วᚑ Cᚑߒߚ↹ Dࡈ⚿ᨐ ࿑ ࠦࡦ࠻ࠬ࠻ᱜ㜞ߐ࠺࠲วᚑ ࡈ߇ߢ߈ߚߩߢߪߥ߆ߣ߃ࠆ㧚ߒ߆ߒ㧘⚦߆ಳಲ ߪ߿ߪࠅౣߒ߈ࠇߡ߅ࠄߕ㧘ಳಲߩਇ⥄ὼߐ߇⧯ᐓᱷߞ ߚ㧚 㧤⠨ኤߣᬌ⸛ .GPPC ↹ࡈߣర↹ߣߩᲧセᬌ⸛ Lenna ↹ߣࡈࠍᲧセߒߚߣߎࠈ㧘Ᏺሶ㘼ࠅߥߤ⚦ ߆ߥߦ⺖㗴ߪᱷࠆ߇㧘ࡈߣߒߡ৻ᔕߩߢ߈ ࠆߎߣ߇ࠊ߆ߞߚ㧚⡼ߩ㕙ߥߤỚᐲ୯߇Ṗࠄ߆ߦᄌൻߒ ߡࠆㇱಽߪߒߚࡈߢ߽ਣߺࠍᏪ߮ߡ߇ߞ ߡ߅ࠅ㧘◲නߥᬺߩഀߦߪචಽߥࡈ߇ᓧࠄࠇߚߩ ߢߪߥ߆ߣ⠨߃ߡࠆ㧚 ߐࠄߦ Lenna ↹ߦㄭࡈࠍߔࠆߚߦߪ㧘 ⚦߆ߥಳಲㇱಽߩౣ߇㕖Ᏹߦ㊀ⷐߦߥࠆ㧚ࡈ↹ ࠍߺࠆߣᏲሶ㘼ࠅߩㇱಽߩỚᐲ୯ߪ߶߷หߓߢࠆߚ㧘 Ớᐲ୯ߩ㆑ߦࠃࠆಳಲߩౣߪ߹ࠅㄟߕ㧘ࠛ࠶ࠫ ߦࠃࠆ⾰ᗵߩ߇ᔅⷐߦߥࠆ㧚Ბ㓏ߢߪࠣࠬ ࠤ࡞↹ߦߪ೨ಣℂࠍ߽ᣉߐߕߦࠛ࠶ࠫಣℂࠍⴕ ߞߡࠆߚ㧘Ớᐲ୯ߩᄌൻ߇ዋߥᏲሶ㘼ࠅㇱಽߢߪ߶ ߣࠎߤࠛ࠶ࠫ߇ࠇߥ㧚ߎࠇࠍᡷༀߔࠆߚߦ㧘ࠛ࠶ࠫ ಣℂࠍⴕ߁೨ߦ㧘ࠣࠬࠤ࡞↹ߦవ㍈ൻಣℂߥ ߤߩ೨ಣℂࠍᣉߒ㧘Ớᐲ୯ߩ㆑ࠍߪߞ߈ࠅߣߐߖߚߢ ࠛ࠶ࠫࠍⴕ߃߫Ᏺሶ㘼ࠅㇱಽߢߩࠛ࠶ࠫߩ⭯ߐࠍᡷༀ ߔࠆߎߣ߇ߢ߈㧘⾰ᗵࠍࠃࠅ⦟ߊߢ߈ࠆߩߢߪߥ߆ ߣ⠨߃ࠄࠇࠆ㧚 㗻↹ࡈߣర↹ߣߩᲧセᬌ⸛ ࠣࠬࠤ࡞↹ߣࠛ࠶ࠫ↹ࠍวᚑߒߚࡈ ߪ㧘ర↹ߣᲧセߔࠆߣ↹ߩ․ᓽࠍࠆ⒟ᐲࠊߒߚ ࡈ߇ߢ߈ߚߣ⠨߃ࠄࠇࠆ㧚ߒ߆ߒ㧘㜬ㇱಽ߅ࠃ߮⡼ 㕙ߪỚᐲ୯ߩ୯߇߶߷৻ቯߢࠅ㧘․ߦ㜬ㇱಽߦߟߡߪ Ớᐲ୯߇㕖Ᏹߦዊߐߚ㧘ࡈߩෘߺߪ㕖Ᏹߦ⭯ߊ ߥࠆ㧚ࠃߞߡᐔ㕙ߦᓂࠅㄟࠎߛࠃ߁ߥᒻߣߥࠅ㧘┙ᗵߦ ᰳߌࠆࡈߣߥߞߚߣ⠨߃ࠄࠇࠆ㧚 ৻ᣇ㧘㜬ㇱಽߩࠦࡦ࠻ࠬ࠻ᱜߣੱߩ㗻ߩ㜞ߐ࠺࠲ ࠍวᚑߒߚࡈߢߪ㧘ࠟࡦࡑᱜߦࠃࠅ㜬ㇱಽߩࠦࡦ ࠻ࠬ࠻ࠍࠆߊߔࠆߎߣߢỚᐲ୯߽ᄢ߈ߊߥࠅ㧘 ࡈߩෘߺ߇Ⴧߒߡ㜬ㇱಽߦ߽┙ᗵ߇ࠆࡈߣߥߞ ߚߣ߃ࠆ㧚߹ߚ㗻㜞ߐ࠺࠲ࠍวᚑߔࠆߎߣߢ㧘㥦߿⋡㧘 ⋲ߥߤ㗻ߩฦㇱߩỚᐲ୯ࠍᏅൻߔࠆߎߣ߇ߢ߈㧘ࠃࠅ ੱߩ㗻ߩᒻ⁁ߦㄭࡈ߇ᚑߢ߈ߚߣ⠨߃ࠄࠇࠆ㧚 ߐࠄߦరߩੱߩ㗻ߩᒻ⁁ߦㄭࡈࠍᚑߔࠆߚ ߦߪ㧘㗻㜞ߐ࠺࠲ߩㆡ↪ᣇᴺ߇㊀ⷐߦߥࠆ㧚࿁ߩᬌ⸛ ߢߪ 4.7 ▵ߢ߽ㅀߴߚࠃ߁ߦ㗻↹ߣ㜞ߐ࠺࠲ߩ৻⥌ߦ ߅ߡ㧘ਅᏀฝߩ┵ὐࠍ৻⥌ߐߖࠆࠃ߁ߦࠬࠤ࡞ᄌᦝ ߔࠆᣇᴺࠍណ↪ߒߡࠆ㧚ߎߩᣇᴺߢࠆߣ࿑15 ߩࠃ߁ߦ ┵ὐએᄖߩㇱಽߦ߅ߡ㗻㗔ၞߣ㗻㜞ߐ࠺࠲↹߇ቢో ߦ৻⥌ߒߡ߅ࠄߕ㧘Ớᐲ୯߇ਇ⥄ὼߦࠆߊߥߞߡࠆㇱ ಽ߇ࠄࠇࠆ㧚ߎࠇࠄ߇ࡈൻߒߚ㓙ߦࠄࠇࠆਇ⥄ ὼߥಳಲߩේ࿃ߣ⠨߃ࠄࠇࠆ㧚ኻ╷ߣߒߡ㧘㗻౮⌀ߩ㗻㗔 ၞߩベㇳ✢ߩ↪߇ߍࠄࠇࠆ㧚㗻ߩベㇳ✢ߦ৻⥌ߔࠆࠃ ߁ߦ㗻㜞ߐ࠺࠲ߩࠬࠤ࡞ࠍᄌᦝߒ㧘วᚑࠍⴕ߁ߎߣߢ㧘 ਇ⥄ὼߥỚᐲ୯ߩᄌൻߪ↢ߓߥߩߢߪߥ߆ߣ⠨߃ࠄࠇ ࠆ㧚߹ߚ㗻⸽ᛛⴚࠍ↪ߒߡ㥦㧘⋡㧘⋲ߥߤߩ㗻ߩฦㇱ ࠍขࠅߒ㧘ฦޘߩㇱߦวߞߚ↹ಣℂ㧘㜞ߐ࠺࠲ วᚑࠍⴕ߁ߎߣߢ㧘ੱߩ㗻ߩ․ᓽࠍࠃࠅ㓙┙ߚߖߚቢᚑᐲ ߩ㜞㗻౮⌀ࡈ߇ߢ߈ࠆߩߢߪߥ߆ߣ⠨߃ߡ ࠆ㧚 ࿑ ⓭ߩේ࿃
↹ಣℂࠍ↪ߒߚ⥄േࡈࠪࠬ࠹ࡓߩᬌ⸛㧔⮮߶߆㧕 ടᎿᣇᴺߩᲧセ ࿁ߩࡈߢߪ 3D ࡊࡦ࠲ߣࡑࠪ࠾ࡦࠣࡦ ࠲ߩੑ⒳㘃ߩടᎿᯏߦࠃࠆࡈߩㅧᒻࠍⴕߞߚ߇㧘3D ࡊࡦ࠲ߩㅧᒻࡇ࠶࠴߇0.254mm ߥߩߦኻߒ㧘ࡑࠪ࠾ࡦࠣ ࡦ࠲ߩߍടᎿߩࡇ࠶࠴ߪ 0.05mm ߣ㕖Ᏹߦዊߐߩ ߢ㧘ߘࠇߙࠇߩࡈߩ㕙ᕈ⁁߿⚦߆ㇱಽߩౣᐲ ߦߎࠇ߶ߤߩ㆑߇ߚߣ⠨߃ࠄࠇࠆ㧚ࡈ㕙ߩṖ ࠄ߆ߐ㧘⚦߆ㇱಽߩᐲߣ߽ߦടᎿࡇ࠶࠴ߩዊߐࡑ ࠪ࠾ࡦࠣࡦ࠲ߦࠃߞߡടᎿߒߚࡈߩ߶߁߇⦟⚿ ᨐ߇ᓧࠄࠇߚ㧚 ߒ߆ߒ㧘ടᎿ↪ߩCAD ࠺࠲ߩ࠺࠲ࠨࠗ࠭߇ᄢ߈ߣ CAM ࠰ࡈ࠻ߦࠃࠆടᎿ࠺࠲ߩᚑ߇ߢ߈ߕ㧘ࡈߩ ᚑဳ߇ⴕ߃ߥߥߤߩ㗴߽↢ߓߚ㧚ߎࠇߪ࠺࠲ࠨࠗ࠭ ߇ᄢ߈ߔ߉ߚߚ㧘ࡄ࠰ࠦࡦߦࠃࠆಣℂ߇ㅊߟ߆ߥ߆ߞ ߚߎߣ߇ේ࿃ߣߒߡ⠨߃ࠄࠇࠆ㧚߹ߚࡃࠗ࠻ߩవ┵㐳ߐ߇ ࡈߩᦨᄢᓂࠅㄟߺࠃࠅ߽ዊߐߣࡑࠪ࠾ࡦࠣࡦ࠲ ߦࠃࠆടᎿ߇ⴕ߃ߥߚ㧘ടᎿ࠺࠲ࠍᚑߔࠆ㓙ߦࠛ ߇␜ߐࠇߚߩߢߪߥ߆ߣ߽⠨߃ࠄࠇࠆ㧚৻ᣇ㧘3D ࡊࡦ࠲ߦࠃࠆࡈߪCAD ࠺࠲ߩࠨࠗ࠭߇㕖Ᏹߦᄢ ߈ߊߥߞߡ߽ࡈߩᚑဳࠍⴕ߁ߎߣ߇ߢ߈ߚ㧚߹ߚࡑ ࠪ࠾ࡦࠣࡦ࠲ߣ㆑㧘ࡃࠗ࠻ߪ↪ߕᣇ߆ࠄࡕ࠺࡞᧚ ࠍⓍጀߔࠆߎߣߢࡕ࠺࡞ߩᚑဳࠍⴕ߁ߚ㧘ࡈߩᦨ ᄢᓂࠅㄟߺߦ㑐ଥߥߊᚑဳ߇น⢻ߢࠆߣ߁ߎߣ߽߃ ࠆ㧚 㧥߹ߣ ࿁㧘↹࠺࠲߆ࠄࡈ㕙ߩಳಲߩᖱႎࠍขࠅ ߒ㧘ࡑࠪ࠾ࡦࠣࡦ࠲ߢടᎿߔࠆ৻ㅪߩၮᧄ⊛Ꮏ⒟ߩ⏕ ߪߢ߈ߚߣ⠨߃ࠆ㧚㗻↹ࠍߞߚࡈߦߟߡ߽ ၮᧄ⊛ߥ↹ಣℂߦട߃㧘㗻㜞ߐ࠺࠲ࠍ↪ࠆߎߣߢࠃ ࠅੱߩ㗻ࠄߒࡈࠍᚑߢ߈ߚߣ߃ࠆ㧚ߒ߆ߒ⚦ ߆ㇱಽߦ㗴ὐߪᱷࠅ㧘ࠃࠅቢᚑᐲߩ㜞ࡈ ߩὑߦߪߐࠄߥࠆᡷༀ߇ᔅⷐߛߣᗵߓߚ㧚ⷐὐࠍ߹ߣࠆ ߣએਅߩࠃ߁ߦߥࠆ㧚 㧔㆐ᚑ㧕 ᮡḰ↹ࠍ↪ߒߚࡈ↹ᚑߩၮᧄ⊛ᚻᴺ 㗻౮⌀↹ࡈ߅ߡ㜞ߐ࠺࠲ߩၮᧄ⊛ߥㆡᔕ ᣇᴺ ↹࠺࠲߆ࠄ3D-CAD ߦ⺒ߺㄟߺน⢻ߥὐ⟲࠺࠲ߩ ᚑ ടᎿᯏߢടᎿน⢻ߥCAD ࠺࠲ߩᚑ 3D ࡊࡦ࠲㧘ࡑࠪ࠾ࡦࠣࡦ࠲ߢߩࡈടᎿ 㧔⺖㗴㧕 㗻⸽ᛛⴚࠍ↪ߒߚ↹ಣℂᣇᴺߩᮨ⚝߹ߚߘࠇߦ ᔕߓߚ㗻౮⌀↹ࡈߩᚑᣇᴺߩᡷༀ ࠺࠲ࠨࠗ࠭㧘ᤨ㑆ߩല₸ൻ એߩ⺖㗴ࠍ〯߹߃㧘ᓟߪ㗻౮⌀߆ࠄࡈࠍᚑ ߔࠆᚻᴺߦὶὐࠍ⛉ࠅ㧘ࠃࠅੱߩ㗻ߦㄭ߽ߩࠍࠆߚ ߦߪߤ߁ߔࠇ߫ࠃ߆ߩᬌ⸽ࠍട߃㧘ࡈߩᡷ⦟ࠍⴕ ߞߡߊ੍ቯߢࠆ㧚 㧔ᐔᚑ24 ᐕ 9 25 ᣣฃઃ㧕 㧔ᐔᚑ24 ᐕ 10 25 ᣣฃℂ㧕 ෳ⠨ᢥ₂ 1) ↰ผ߶߆㧘ޟ3D-CAD ࠪࠬ࠹ࡓࠍ↪ߒߚ⥄േ ࡈߩᬌ⸛ޠ㧘ᾢᧄ㜞ኾ⎇ⓥ♿ⷐ╙㧟ภ (2011)㧘 pp.15-22㧚 2) ޟࡈߣߪޠ́ᾖ↪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 ࡊࡦ࠲Dimensionޠ㧘ਣ⚃ᖱႎࠪࠬ࠹ࡓ࠭㧚 ෳ⠨URL: http://www.marubeni-sys.com/de/dimension/768.html 5) ♖ᯏᚲޟຠᖱႎ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 ߦߟߡߪਅ⸥ࠍෳ⠨ߦߒߚ㧚 ෳ⠨URL: http://help.solidworks.com/2010/japanese/SolidWorks/sldw orks/LegacyHelp/Sldworks/Overview/StartPage.htm