ᚑくᄢቇℂᎿቇ⎇ⓥႎ๔
J. Fac. Sci. Tech., Seikei Univ.
Vol.47 No.1 (2010) pp.83-90៤Ꮺ㔚⹤ࠞࡔ࡜․ᕈࠍ⠨ᘦߒߚᦨㆡ↹௝ࡑ࠶࠴ࡦࠣർῪ ➂ሶ㧖㧘࿃ 㓶੫㧖㧘ዊ㜞 ૓᮸㧖㧘ᐔ㊁ ⎇ੱ㧖㧘ᮘญ ᡽๺㧖㧘Ꮉፒ ⑲ੑ㧖㧘᧛਄ ੳᏆ㧖

Optimal Image Matching Considering Mobile Phone Camera Property
Mayuko KITAZUME㧖 Yusuke IN㧖 Yuki Odaka㧖 Kento HIRANO㧖Masakazu HIGUCHI㧖 Syuji KAWASAKI㧖 Hitomi MURAKAMI㧖ABSTRACT : In recent years, location information of people have been attracting a lot of attentions as

an element for construct of ubiquitous environment. Especially, high precision of that location

information is very important in case of emergency. In order to realize the precision, technical challenges

will be evaluation of the precision of GPS information and how to improve it. So far, these issues haverarely been studied, however. In this paper, we use GPS on mobile phone as device of obtaining location

information. We consider a method to improve the precision with camera of mobile phone, and show

experiment results by the method. In order to investigate the robustness of the proposed method formobile phone camera property, we take a photograph by various types of mobile phones inexperimentation.

Keywords : GPS, Mobile Phone, Camera, Pattern matching, Fitting
㧔Received March 25, 2010㧕ᚒ‫੹ߪޘ‬ᓟ㧘ੱ‫ߩޘ‬૏⟎ᖱႎࠍᓧࠆߚ߼ߩ࠷࡯࡞ߣߒ㧝㧚ᐨ ⺰ߡ㧘៤Ꮺ㔚⹤߇㊀ⷐߢ޽ࠆߣ⠨߃ࠆ‫⃻ޕ‬࿷㧘៤Ꮺ㔚⹤ߪᣣᧄߩᏒ႐ߢ 1 ంบએ਄᥉෸ߒߡ޿ࠆᖱႎ┵ᧃᯏེߢ޽

ㄭᐕ㧘↢ᵴߩ቟ᔃ࡮቟ోߥߤߩⷰὐ߆ࠄ㧘ੱ‫ߩޘ‬૏⟎
ᖱႎ߇㊀ⷐⷞߐࠇߡ޿ࠆ‫ޕ‬ᄖ಴ਛߩሶߤ߽ߩⴕേ⏕⹺߿㧘ࠆ‫ߚ߹ޕ‬㧘2007 ᐕ 4 ᦬એ㒠ߦ⊒ᄁߐࠇࠆ៤Ꮺ㔚⹤ߦߪGPS ᯏ⢻៞タ߇✚ോ⋭ߦࠃࠅ⟵ോઃߌࠄࠇߡ߅ࠅ㧘੹ᄙ㔌ࠇߡ᥵ࠄߔ㜞㦂⠪ߩ቟ో⏕⹺ߥߤࠍᆎ߼㧘⍮ࠄߥ޿࿯ߊߩੱ߇ GPS ࠍ៞タߒߚ៤Ꮺ㔚⹤ࠍᚲ᦭ߒߡ޿ࠆ 1)‫ޕ‬࿾ߢߩ⥄ಽߩ૏⟎ᛠី߿⋡⊛࿾߹ߢߩᱠⴕ᩺ౝ㧘㓚ኂ⠪ߎߩ៤Ꮺ㔚⹤ GPS ߩᄢඨߪ㧘៤Ꮺ㔚⹤ၮ࿾ዪߦࠃࠆ⺋ߩᱠⴕᡰេߥߤ㧘ߘߩᔕ↪ᣇᴺߪ᭽‫ᦨޕࠆ޽ߢޘ‬ㄭߢߪ㧘Ꮕ⵬ᱜ߇ⴕࠊࠇߡ޿ࠆ‫ ߥ⊛⥸৻ޕ‬GPS ኾ↪ᯏߦ߅޿ߡ㧘૏⟎ᖱႎߪࠗࡦ࠲࡯ࡀ࠶࠻ߩᦨㆡ࡞࡯࠴ࡦࠣ㧘ㆇォᚻߩ៤Ꮺ㔚⹤ߩ૶↪೙㒢ߦ߽ᵴ↪ߐࠇߟߟ޽ࠆ‫ߦ․ޕ‬ⅣႺ໧ࠝ࡯ࡊࡦࠬࠞࠗߥⅣႺߢߩ⺋Ꮕߪ 1[m]⒟ᐲߢ޽ࠅ㧘㕖Ᏹ㗴߇⊒↢ߒߚ႐ᚲ߿㧘ੱ߇ୟࠇߡ޿ࠆ႐ᚲࠍ✕ᕆߢ⍮ࠄߦ♖ᐲࠃߊ૏⟎ࠍ․ቯߔࠆߎߣ߇಴᧪ࠆ‫ߒ߆ߒޕ‬๟࿐ߦߖߚ޿ᤨߦߪ㧘ࠃࠅᱜ⏕ߥ૏⟎ᖱႎ߇ᔅⷐߣߥࠆ‫⚦⹦ޕ‬ᑪ‛ߥߤ߇޽ࠆⅣႺߢߪ㧘૏⟎ᖱႎߩขᓧ߇࿎㔍ߣߥࠆߥ૏⟎ߩ․ቯߪ㧘࡙ࡆࠠ࠲ࠬⅣႺߩ᭴▽ߩߚ߼ߦ߽⃻࿷2)-5)

ߩ㊀ⷐߥ⺖㗴ߢ޽ࠆ‫ޕ‬ႎ߇ᓧࠄࠇߥ޿႐ᚲߢ߽㧘ၮ࿾ዪߦࠃࠆ⺋Ꮕ⵬ᱜ߇ⴕࠊ‫ߩߘޕ‬ὐߦ߅޿ߡ㧘៤Ꮺ㔚⹤ GPS ߪኾ↪ᯏߢ૏⟎ᖱࠇ㧘૏⟎ᖱႎࠍขᓧߔࠆߎߣ߇ߢ߈ࠆ‫߼ߚߩߘޕ‬㧘GPSኾ↪ᯏࠃࠅ߽៤Ꮺ㔚⹤ GPS ߩᣇ߇‫ޟ‬૏⟎ᖱႎ߇ᓧࠄࠇࠆ

㧖㧦ℂᎿቇ⎇ⓥ⑼ℂᎿቇኾ᡹ୃ჻ቇ↢㧖㧦ᖱႎ⑼ቇ⑼ቇㇱቇ↢⢻ജ‫ߪޠ‬㜞޿ߣ⸒߃ࠆ‫ޕ‬
㧖4ߎࠇࠄߩߎߣ߆ࠄ㧘៤Ꮺ㔚⹤ GPS ߪੱ‫ߩޘ‬૏⟎ᖱႎߩ㧖ขᓧߦㆡߒߡ޿ࠆߣᕁࠊࠇࠆ‫ߒ߆ߒޕ‬㧘႐ᚲߦࠃߞߡߪ

㧖㧦Ꮏቇ⎇ⓥ⑼㔚᳇㔚ሶኾ᡹ୃੌ↢㧦ᖱႎ⑼ቇ⑼ඳ჻⎇ⓥຬ
㧦ᖱႎ⑼ቇ⑼࡙ࡆࠠ࠲ࠬᎿቇ⎇ⓥቶቴຬ⎇ⓥຬᄢ߈ߥ⺋Ꮕ߇↢ߓࠆߎߣ߇ታ㛎ߦࠃࠅࠊ߆ߞߡ޿ࠆ 3)-5)‫ޕ‬㧦ᖱႎ⑼ቇ⑼ᢎ᝼ (hi-murakami@st.seikei.ac.jp)㧖6㧙㧙ߛߌߢߥߊ㧘ߐࠄߦ⹦⚦ߥ̌᠟ᓇ▸࿐̍ࠍ․ቯߔࠆߎߣ

㧞㧚૏⟎․ቯߩ⠨߃ᣇ߇ߢ߈ࠆ‫ߪࠣࡦ࠴࠶ࡑߩߎޕ‬㧘GPS ᖱႎߩ⺋Ꮕ▸࿐ౝߦ਄⸥ߩℂ↱߆ࠄ㧘៤Ꮺ㔚⹤ GPS ߦࠃߞߡᓧࠄࠇࠆ૏⟎޽ࠆ࠺࡯࠲ࡌ࡯ࠬേ↹ߩߺߦⴕ߁‫ߚ߹ޕ‬㧘ฦࡈ࡟࡯ࡓߣᖱႎࠍၮߦ㧘GPS ⺋Ꮕ▸࿐ౝ߆ࠄࠃࠅᱜ⏕ߥ૏⟎․ቯࠍ៤Ꮺ㔚⹤ࠞࡔ࡜↹௝ߩ㘃ૃᐲߦߪ㧘ᣣశߩᓇ㗀߿⴫⃻นⴕ߁ᚻᴺ߇ឭ᩺ߐࠇߡ޿ࠆ6)-11)‫ޕ‬GPS ᖱႎߣ࠮ࡦࠨࠍ૬↪ߔࠆᚻᴺ⢻ߥ⦡ၞߥߤߩℂ↱߆ࠄ⦡ᖱႎߢߪߥߊ㧘ฦ↹௝ߩࠛ࠶6),7)

ߢߪ㧘GPS ૏⟎ࠫ↹௝ߩ⋧㑐ଥᢙࠍ೑↪ߒߡ޿ࠆ‫ޕ‬ᖱႎࠍ࠮ࡦࠨߢ⵬ᱜߔࠆߎߣߢ⹦⚦ߥ૏⟎ࠍ․ቯߒߡ޿ᧄ⺰ᢥߢߪ㧘਄⸥ߩឭ᩺ᚻᴺߩ㧘ᄙ᭽ߥ៤Ꮺ㔚⹤ࠞࡔࠆ‫ߒ߆ߒޕ‬㧘࠮ࡦࠨࠍࠗࡦࡈ࡜ߣߒߡ⸳⟎ߒߥߌࠇ߫ߥ

࡜․ᕈߦኻߒߡߩࡠࡃࠬ࠻ࡀࠬࠍี๧ߔࠆߚ߼㧘ⶄᢙߩࠄߥ޿㔍ὐ߇޽ࠆ‫ޕ‬៤Ꮺ㔚⹤ࠍ↪޿ߡ౉ജ↹௝ࠍ᠟ᓇߒߡ޿ࠆ‫ߚ߹ޕ‬㧘࠺࡯ᄙߊߩ៤Ꮺ㔚⹤ߦ៞タߐࠇߡ޿ࠆࠞࡔ࡜ࠍ↪޿ߡ㧘᠟ᓇߒߚ↹௝߆ࠄ૏⟎․ቯࠍⴕ߁ᚻᴺ߽޽ࠆ‫ޕ‬ᢥ₂10)࠲ࡌ࡯ࠬࠍⶄᢙߩ᠟ᓇᯏ᧚ߢ᠟ᓇߒ㧘࠺࡯࠲ࡌ࡯ࠬߩ᠟

ߢߪᓇᯏ᧚ߦࠃࠆ⚿ᨐ߳ߩᓇ㗀ߦߟ޿ߡᲧセ㧘ᬌ⸛ࠍⴕ߁‫ޕ‬៤Ꮺ㔚⹤ࠞࡔ࡜ߢઃㄭߩ㆏〝ᮡ⼂ࠍ᠟ᓇߒ㧘ߘߩ↹௝ߩࠛ࠶ࠫߣ⦡ᖱႎ߆ࠄᮡ⼂ࠍ⼂೎ߒߡ޿ࠆ‫ߒߣ࡜ࡈࡦࠗޕ‬㧟㧚ឭ᩺ᚻᴺߡ㆏〝ᮡ⼂ࠍ↪޿ߡ޿ࠆߚ߼㧘࠮ࡦࠨߩࠃ߁ߦ⸳⟎ߔࠆߎࠇ߹ߢߩታ㛎⚿ᨐ߆ࠄ 2)-4)㧘៤Ꮺ㔚⹤ GPS ߩ⺋Ꮕߪᚻ㑆ߪ⋭ߌࠆ‫ߒ߆ߒޕ‬㧘ࡑ࠶࠴ࡦࠣߦ↪޿ߡ޿ࠆ⦡ᖱႎ

90%ߩ⏕₸ߢ 100[m]એౝߢ޽ࠆߎߣ߇ࠊ߆ߞߡ޿ࠆ‫ߘޕ‬ߦߪ㧘ᤨ㑆Ꮺ߿ᄤ᳇ߦࠃࠆᣣశߩᓇ㗀߇޽ࠆ‫ߦࠄߐޕ‬៤ߎߢ㧘៤Ꮺ㔚⹤ GPS ߆ࠄᓧࠄࠇߚ૏⟎ࠍਛᔃߦ㧘ඨᓘᏪ㔚⹤ࠞࡔ࡜ߢ᠟ᓇߐࠇߚ↹௝ߣઁߩࠞࡔ࡜ߢ᠟ᓇߐࠇߚ↹௝ߣߢߪ㧘ᯏེߩᕈ⢻ߦࠃࠅ⴫⃻น⢻ߥ▸࿐߇ᄙዋ

100[m]ߩ౞ౝߦ޽ࠆ࠺࡯࠲ࡌ࡯ࠬേ↹ߦ⛉ࠅㄟࠎߢ៤Ꮺ⇣ߥࠆ‫߼ߚߩߘޕ‬ᮡ⼂ߥߤߩᲧセ⊛⦡ߩ⒳㘃߇ዋߥ޿↹㔚⹤ࠞࡔ࡜ߢ᠟ᓇߒߚ↹௝ߣࡑ࠶࠴ࡦࠣߔࠆ‫ޕ‬એਅߦ࠺௝ߢߪߥ޿႐ว㧘㘃ૃᐲ߇ૐߊߥࠆߎߣ߇⠨߃ࠄࠇࠆ‫ޕ‬࡯࠲ࡌ࡯ࠬേ↹ߩ᠟ᓇᣇᴺߣ౉ജ↹௝ߣߩࡑ࠶࠴ࡦࠣᣇ߹ߚ㧘ᢥ₂11)ߢߪ㧘ᑪ‛ࠍ᠟ᓇߒߚ㕒ᱛ↹ࠍ࠺࡯࠲ࡌᴺࠍ⸥ߔ‫ޕ‬࡯ࠬߣߒߡ㕒ᱛ↹ߣࡑ࠶࠴ࡦࠣࠍⴕ޿㧘᠟ᓇ૏⟎ࠍ․ቯ
ߒߡ޿ࠆ‫ޕ‬៤Ꮺ㔚⹤ GPS ߇๟࿐ߦᑪ‛߇ᄙ޿႐ᚲߢ⺋Ꮕ‫ࠬ࡯ࡌ࠲࡯࠺ޣ‬േ↹‫ޤ‬ᑪ‛߆ࠄ 10[m]㔌ࠇߚ૏⟎ߢ㧘ᑪ߇↢ߓ߿ߔ޿ߎߣࠍ⠨ᘦߔࠆߣ㧘ᑪ‛ࠍ᠟ᓇኻ⽎ߣߔࠆ‛ߦኻߒᐔⴕߦ৻ቯㅦᐲߢ⒖േߒ᠟ᓇࠍⴕ߁‫ޕ‬᠟ᓇߒߚߎߣߪㆡߒߡ޿ࠆߣ⠨߃ࠄࠇࠆ‫ߒ߆ߒޕ‬㧘ߎࠇࠄߪ㕒ᱛേ↹ࠍ࠺࡯࠲ࡌ࡯ࠬߣߔࠆ‫ޕ‬↹ࠍ࠺࡯࠲ࡌ࡯ࠬߣߒߡ㧘᠟ᓇߒߚ̌ᑪ‛̍ࠍ․ቯߒߡ

‫ࠣࡦ࠴࠶ࡑޣ‬ᣇᴺ‫ޤ‬એਅߩࡊࡠ࠮ࠬߢ࠺࡯࠲ࡌ࡯ࠬേ↹޿ࠆ‫ޕ‬᠟ᓇ↹௝ߦᤋࠆᑪ‛߇࠺࡯࠲ࡌ࡯ࠬߩ㕒ᱛ↹ߣ㘃ߩฦࡈ࡟࡯ࡓߣ౉ജ↹௝ߩࡑ࠶࠴ࡦࠣࠍⴕ޿㧘ߘࠇߙࠇૃߒߡ޿ࠆ߆ߤ߁߆ߢ৻⥌࡮ਇ৻⥌ࠍ್ᢿߒߡ߅ࠅ㧘઒⋧㑐୯ࠍ᳞߼ࠆ‫ޕ‬ߦ৻⥌ߒߚᑪ‛ࠍ․ቯߢ߈ߚߣߒߡ߽㧘೑↪⠪ߪߘߩᑪԘ࠺࡯࠲ࡌ࡯ࠬേ↹ߩฦࡈ࡟࡯ࡓߣ౉ജ↹௝ࠍ⊕㤥↹௝ߦᄌ឵ߔࠆ‫ޕ‬‛ࠍ᠟ᓇߔࠆߎߣ߇น⢻ߥᑪ‛ߩ๟ㄝߦ޿ࠆߎߣ߹ߢߒ߆ࠊ߆ࠄߥ޿‫✕ޕ‬ᕆᤨߦߪ㧘ࠃࠅ⹦⚦ߥ૏⟎ᖱႎ߇ᔅⷐԙฦ‫↹ߩޘ‬௝ߢࠛ࠶ࠫᬌ಴ࠍⴕ߁‫ޕ‬ߢ޽ࠆ‫ޕ‬Ԛᑼ(1)ࠃࠅ㧘⋧㑐ଥᢙࠍ⸘▚ߔࠆ‫ޕ‬∑∑ ( f (m, n) − f )(g (m, n) − g )Nߘߎߢᚒ‫ߪޘ‬㧘࠺࡯࠲ࡌ࡯ࠬߣߒߡᑪ‛ࠍ᠟ᓇߒߚേ
Correlation =↹௝ࠍ↪޿㧘៤Ꮺ㔚⹤ࠞࡔ࡜ߢ᠟ᓇߐࠇߚ㕒ᱛ↹ߣࡑ࠶࠴ࡦࠣࠍⴕߞߡ㧘ߘߩ⋧㑐߆ࠄ᠟ᓇ⠪ߩ૏⟎․ቯࠍⴕ߁
ᚻᴺࠍᬌ⸛ߒߚ 11)-15)‫ߕ߹ޕ‬㧘࠺࡯࠲ࡌ࡯ࠬߣߒߡ޽ࠆᑪ

Mn =1 m =1∑∑ ( f (m, n) − f ) ∑∑ (g (m, n) − g )N

Mn =1 m =1N

2

M

2L(1)n =1 m =1ߎߎߢ㧘‛ࠍേ↹௝ߢ᠟ᓇߒ㧘ߎߩ▸࿐ߢ៤Ꮺ㔚⹤ࠞࡔ࡜ߢ߽ห

N㧦❑ᣇะߩ↹⚛ᢙ(240 ↹⚛)ߓᑪ‛ࠍ᠟ᓇߔࠆ‫ߣࠆߔޕ‬㧘៤Ꮺ㔚⹤ࠞࡔ࡜ߢ᠟ᓇߒߚ

M㧦ᮮᣇะߩ↹⚛ᢙ(240 ↹⚛)↹௝㗔ၞߪ㧘࠺࡯࠲ࡌ࡯ࠬേ↹௝ౝߩ޽ࠆㅪ⛯ߒߚᢙࡈf (m,n)㧦៤Ꮺ㔚⹤ࠞࡔ࡜↹௝ߩ↹⚛୯(㕒ᱛ↹)࡟࡯ࡓߦᤋߞߡ޿ࠆ‫ߩߎޕ‬ㅪ⛯ࡈ࡟࡯ࡓߣ៤Ꮺ㔚⹤ࠞࡔg(m,n)㧦࠺࡯࠲ࡌ࡯ࠬߢ޽ࠆേ↹௝ߩฦࡈ࡟࡯ࡓߦ߅࡜↹௝ߣߩ㘃ૃᐲߪ㧘ઁߩࡈ࡟࡯ࡓߣᲧߴ㜞ߊߥࠆߣ⠨ߌࠆ↹⚛୯߃ࠄࠇࠆ‫ࠄ߆ߣߎߩߎޕ‬㧘៤Ꮺ㔚⹤ࠞࡔ࡜↹௝ߣฦࡈ࡟࡯ࡓߩ㘃ૃᐲࠍ᳞߼㧘ㅪ⛯ߒߡ㘃ૃᐲ߇㜞޿▸࿐ࠍᬌ಴f 㧦៤Ꮺ㔚⹤ࠞࡔ࡜↹௝ߩ↹⚛ᐔဋ୯ߔࠆߎߣߢ៤Ꮺ㔚⹤ࠞࡔ࡜ߩ᠟ᓇ▸࿐ࠍ․ቯߢ߈ࠆߣ⠨g 㧦࠺࡯࠲ࡌ࡯ࠬߢ޽ࠆേ↹௝ߩฦࡈ࡟࡯ࡓߦ߅ߌࠆ↹⚛ᐔဋ୯߃ߚ‫ߩߎޕ‬ᚻᴺߦࠃࠅ㧘᠟ᓇߒߚ̌ᑪ‛̍߇․ቯߐࠇࠆ㧙㧙ߣߥࠆ‫⋧ޕ‬㑐ଥᢙߪ㧘߹ߕ៤Ꮺ㔚⹤ߩࠞࡔ࡜↹௝ߣ࠺࠺࡯࠲ࡌ࡯ࠬߩ૏⟎ߣ౉ജ↹௝ߩ᠟ᓇ႐ᚲ߇৻⥌ߒߡ࡯࠲ࡌ࡯ࠬਛߩ↹௝ߣߩᲧセࠍⴕ޿㧘ᮮᣇะߣ㧘ߐࠄ޿ࠆ႐ว㧘ᄙߊߩࠤ࡯ࠬߢࠣ࡜ࡈߦጊߩࠃ߁ߥᒻ߇⷗ࠄߦߎߩᮮᣇะߢᜰቯߐࠇߚฦ႐ᚲߢ㧘ᅏⴕ߈ᣇะߢ޽ࠇ㧘ጊߩ޽ࠆㇱಽ㧔࿑ 1 ᢳ✢ㇱ㧕ߢ᠟ᓇ߇ⴕࠊࠇߡ޿ࠆࠆ❑ᣇะߦಽߌ⸘▚ࠍߔࠆ‫ޕ‬ߎߣ߇ࠊ߆ࠆ‫߼ߚߩߘޕ‬㧘ᢳ✢ㇱߩࡈ࡟࡯ࡓᤨ㑆ߣേ↹ԛ߹ߚ❑ᣇะߦߟ޿ߡ⹦⚦ߦ⸃ᨆߔࠆߚ߼ߦ៤Ꮺ㔚⹤

᠟ᓇߩ⒖േㅦᐲߩⓍߢᓧࠄࠇࠆ〒㔌߇㧘ᮮᣇะߩ▸࿐ߣࠞࡔ࡜↹௝ߩ᜛ᄢಣℂࠍᑼ(2)ࠃࠅⴕ޿㧘ࡄ࠲࡯ࡦࡑ

ߒߡ․ቯߢ߈ࠆ‫ߚ߹ޕ‬㧘❑ᣇะߦ㑐ߒߡ߽ห᭽ߦ৻⥌ߒ࠶࠴ࡦࠣࠍⴕ߁‫ޕ‬ߡ޿ࠆㇱಽߢጊߩᒻ߇⷗ࠄࠇߚ‫߼ߚߩߎޕ‬㧘⋧㑐ଥᢙࠣM −1 N −1)
u ( x, y) = ∑∑ u(i, j )φ ( x − i, y − j ) L (2)࡜ࡈߩጊߩ᏷ߩ᜛ᄢ୚₸ߣ᠟ᓇ࿾ὐ߆ࠄ᠟ᓇኻ⽎߹ߢߩ〒㔌=10[m]ߣߩⓍ߇㧘❑ᣇะߩ․ቯ▸࿐ߦߥࠆ‫ޕ‬i =0 j =0ߎߎߢǾߪ⵬㑆ವᢙߢ޽ࠅ㧘㧠㧚ឭ᩺ᚻᴺߩቯᑼൻ

φ ( x, y ) = ϕ ( x)ϕ ( y )   Ǿ:1 ᰴర⵬㑆㑐ᢙ3 ┨ߢឭ᩺ߒߚᚻᴺࠍቯᑼൻߔࠆߚ߼㧘߹ߕ࠺࡯࠲ࡌߣߔࠆ‫ޕ‬Ԝታ㛎ߢᓧࠄࠇߚ⋧㑐ଥᢙߦࠃࠅ૏⟎ࠍ․ቯߔࠆ‫ޕ‬

࡯ࠬ 3 ⒳㘃(࠺ࠫ࠲࡞ࡆ࠺ࠝࠞࡔ࡜㧘࠙ࠚࡉࠞࡔ࡜㧘៤Ꮺ㔚⹤ࠍ↪޿ߡ᠟ᓇߒߚ߽ߩ)ߣ㧘៤Ꮺ㔚⹤ࠞࡔ࡜↹௝ߣߩࡑ࠶࠴ࡦࠣߩၮ␆ታ㛎ࠍ 3 ࡩᚲߢⴕߞߚ‫ޕ‬࿑ 3 ߦ⚿ᨐߩ࿑ 1㧘࿑ 2 ߪ㧘࠺࡯࠲ࡌ࡯ࠬ↹௝ߩ᠟ᓇ႐ᚲߣ౉ജ↹৻ㇱࠍ␜ߔ‫ޕ‬௝ߩ᠟ᓇ႐ᚲ߇৻⥌ߒߡ޿ࠆ႐วߩ⋧㑐ଥᢙߩࠣ࡜ࡈߢ޽ࠆ‫ޕ‬࿑ 1 ߪ㧘❑ゲ߇⋧㑐ଥᢙߩ୯㧘ᮮゲ߇േ↹௝ߩࡈ࡟࡯ࡓࠍ⴫ߒߡ߅ࠅ㧘ฦࡈ࡟࡯ࡓߣ౉ജ↹௝ߩᮮᣇะߩ⋧㑐ଥᢙࠍࡊࡠ࠶࠻ߒߚ߽ߩߢ޽ࠆ‫ޕ‬࿑ 2 ߪ㧘࿑ 1 ߩࠣ࡜ࡈߢࡇ࡯ࠢ୯ࠍߣߞߚࡈ࡟࡯ࡓߢߩ㧘౉ജ↹௝ߩ᜛ᄢ୚₸ࠍᄌൻߐߖߚᤨߩ❑ᣇะߩ⋧㑐ଥᢙࠍࡊࡠ࠶࠻ߒߚ߽ߩߢ޽ࠆ‫❑ޕ‬ゲ߇᜛ᄢ୚₸㧘ᮮゲ߇⋧㑐ଥᢙࠍ⴫ߔ‫ޕ‬࿑  ၮ␆ታ㛎⚿ᨐ ⋧㑐ଥᢙߩᦨᄢ୯ߣᐔဋ୯ࠍ↪
޿ߚ႐ว 
࿑ 3 ߪታ㛎⚿ᨐߩ⋧㑐ଥᢙᦨᄢ୯ߣᐔဋ୯ߩ㑐ଥࠍ⴫ߒߚ߽ߩߢ޽ࠆ‫ޕ‬᠟ᓇ႐ᚲ߇৻⥌ߒߡ޿ࠆ႐วߩታ㛎⚿࿑  ⋧㑐ଥᢙߩࠣ࡜ࡈߩ৻଀㧔ᮮᣇะ㧕ᨐߪ㧘႐ᚲ߇ਇ৻⥌ߩ႐วߦᲧߴߡ㧘ᦨᄢ୯ߣᐔဋ୯߇౒ߦ㜞޿௑ะ߇޽ࠆ‫ߢߎߘޕ‬᠟ᓇ႐ᚲߩ৻⥌࡮ਇ৻⥌ࠍ್೎ߔࠆߚ߼ߦએਅߦ␜ߔᑼ(3)ࠍ↪޿ߡ್೎ᑼࠍ᳞߼ߚ‫ޕ‬Z = ax + by + c L (3)ၮ␆ታ㛎ߩ୯߆ࠄ a, b, c ࠍ᳞߼㧘್೎୯ Z ߩᱜ⽶ߦࠃࠅ್೎ࠍⴕ߁‫ޕ‬࿑ 3 ߩ࠺࡯࠲ߦߎߩ್೎ᑼࠍ↪޿ߡ್೎ࠍⴕߞߚ⚿ᨐࠍ⴫ 1 ߦ␜ߔ‫ޕ‬⴫ ್೎ᑼࠍ↪޿ߚ㓙ߩᱜ್೎₸ߣᬌ಴♖ᐲ࿑  ⋧㑐ଥᢙߩࠣ࡜ࡈߩ৻଀㧔❑ᣇะ㧕㧙㧙⴫ 1 ߪ㧘᠟ᓇ႐ᚲ߇৻⥌ߒߡ޿ࠆ႐วߣ৻⥌ߒߡ޿ߥσ =޿႐ว㧘ߘࠇߙࠇߦߟ޿ߡᱜߒߊ್೎ߢ߈ߚ♖ᐲࠍ␜ߒdL ( 4)2ߡ޿ࠆ‫ޕ‬ᱜ್೎₸ߣߪ㧘᠟ᓇ႐ᚲߩ৻⥌࡮ਇ৻⥌ࠍ್೎ߎߩᮡḰ஍Ꮕσ ߣጊߩਛᔃࠍ␜ߔ c ߩ୯ࠍ↪޿ߡᑼߢᱜߒߊ್೎ߔࠆߎߣ߇ߢ߈ߚᲧ₸ߢ޽ࠅ㧘ᬌ಴♖ᐲ

c ± 2σ ࠍ⸘▚ߒ㧘ጊߩ᏷ߣߔࠆ‫ޕ‬ᮮᣇะߩ႐ว㧘᳞߼ߚߣߪ㧘ߘࠇߙࠇ್೎ߒߚ࠺࡯࠲ߩਛߢᱜߒߊ್೎ߐࠇߚ

ጊߩ᏷㧔㧩ࡈ࡟࡯ࡓᢙ㧕ߣࡈ࡟࡯ࡓ࡟࡯࠻߆ࠄᬌ಴ࡈ࡟࠺࡯࠲߇฽߹ࠇࠆᲧ₸ߢ޽ࠆ‫ޕ‬࡯ࡓᤨ㑆ࠍ⸘▚ߒ㧘ࡈ࡟࡯ࡓᤨ㑆ߣ࠺࡯࠲ࡌ࡯ࠬ᠟ᓇᤨ
ߎߩ⴫ 1 ߆ࠄࠊ߆ࠆࠃ߁ߦ㧘80㧑ߩ⏕₸ߢ್೎ᑼߦࠃ

ߩ⒖േㅦᐲߩⓍߢᓧࠄࠇࠆ〒㔌ࠍ㧘ᮮᣇะߩ․ቯ▸࿐ߣߔࠆ‫ޕ‬ࠅ᠟ᓇ႐ᚲ߇৻⥌ߒߡ޿ࠆ߆ߤ߁߆ࠍ್೎ߢ߈ࠆ‫ߎߘޕ‬ߢ㧘⋧㑐ଥᢙߩᦨᄢ୯ߣᐔဋ୯ߦ್೎ᑼࠍ↪޿ߡ㧘᠟ᓇᮮᣇะߩ▸࿐[m] = ᬌ಴ࡈ࡟࡯ࡓᤨ㑆[s]⒖േㅦᐲ[m/s]႐ᚲߩ৻⥌࡮ਇ৻⥌ߩ್೎ࠍⴕ߁‫ޕ‬ߘߒߡ㧘ߎࠇࠄ್೎ᑼߦࠃࠅ৻⥌ߒߡ޿ࠆߣ್೎ߐࠇ
ߚ࠺࡯࠲ߦኻߒ㧘࿑ 1, 2 ߦ␜ߐࠇࠆࠃ߁ߥጊߩᬌ಴ࠍⴕ❑ᣇะߩ႐ว㧘ጊߩ޽ࠆ႐ᚲߢߩᦨዊ୚₸ࠍ c − 2σ 㧘޿㧘᠟ᓇ▸࿐ࠍ․ቯߔࠆ‫ޕ‬એਅߦጊߩᬌ಴ᚻᴺࠍቯᑼൻᦨᄢ୚₸ࠍ c + 2σ ߣߒ㧘ߘࠇࠄߣ᠟ᓇ࿾ὐ߆ࠄ᠟ᓇኻ⽎ߒ㧘ߘߩጊߩ᏷߆ࠄ౉ജ↹௝ߩ૏⟎․ቯࠍⴕ߁‫ޕ‬

߹ߢߩ〒㔌=10[m]ߣߩⓍߢᓧࠄࠇࠆ〒㔌ࠍ㧘❑ᣇะߩ․ቯ▸࿐ߣߔࠆ‫ޕ‬‫ޣ‬ጊߩᬌ಴‫ޤ‬❑ᣇะߩ▸࿐[m] =᠟ᓇ▸࿐ࠍ␜ߔጊߩᬌ಴ࠍⴕ߁ߚ߼㧘⋧㑐ଥᢙߩࠣ࡜ 㧔ጊߩᦨᄢ୚₸㧙ጊߩᦨዊ୚₸㧕᠟ᓇ〒㔌[m]ࡈߦࠟ࠙ࠬࡈࠖ࠶࠹ࠖࡦࠣࠍⴕ߁‫ߪߦࠣࡦࠖ࠹࠶ࠖࡈޕ‬ᑼ(4)ࠍ↪޿ࠆ‫ޕ‬ − ( x − c)2  L ( 4)y = a + b × exp d2࠺࡯࠲ࡌ࡯ࠬߣ౉ജ↹௝ߩ႐ᚲ߇หߓߢ޽ࠆࠤ࡯ࠬߣ
ߒߡ㧘࿑ 1㧘2 ߩࠣ࡜ࡈߦߟ޿ߡ⠨߃ࠆ‫ޕ‬࿑ 1㧔ᮮᣇะ㧕ߩࡈࠖ࠶࠹ࠖࡦࠣ⚿ᨐߪ a = -0.0693, b = 0.271, c = 134.2,

࿑ 1 ߩࠃ߁ߥᮮᣇะߩ⋧㑐ଥᢙߩࠣ࡜ࡈߦࡈࠖ࠶࠹ࠖ

d = 83.33㧘࿑ 2㧔❑ᣇะ㧕ߩࡈࠖ࠶࠹ࠖࡦࠣ⚿ᨐߪ a =ࡦࠣߔࠆ႐ว㧘x ߪࡈ࡟࡯ࡓᢙࠍ⴫ߔ‫ߚ߹ޕ‬㧘࿑ 2 ߩࠃ

0.0995, b = 0.0955, c = 1.17, d = 0.0198 ߢ޽ࠅ㧘ߘࠇߙࠇ਄

⸥ߩࡄ࡜ࡔ࡯࠲ߢጊ߇ᬌ಴ߐࠇࠆ‫ޕ‬d ߩ୯߆ࠄ࿑ 1 ߩσ߁ߥ❑ᣇะߩ⋧㑐ଥᢙߩࠣ࡜ࡈߦࡈࠖ࠶࠹ࠖࡦࠣߔࠆ႐

ߪ 58.92 ߣ᳞߼ࠄࠇ㧘ࡈ࡟࡯ࡓ࡟࡯࠻ࠍ 30fps㧘⒖േㅦᐲว㧘x ߪ୚₸ࠍ⴫ߔ‫ᦨߪࠣࡦࠖ࠹࠶ࠖࡈޕ‬ዊੑਸ਼ᴺߦࠃ
ࠅⴕ޿㧘a, b, c, d ࠍ᳞߼ࠆ‫ޕ‬࿑ 4 ߪ࿑ 1 ߦኻߒ㧘ࡈࠖ࠶

ࠍ 1.5[m/s]ߣߔࠆߣ㧘ᮮᣇะߩ▸࿐ߪ㧘࠹ࠖࡦࠣࠍⴕߞߚ⚿ᨐߢ޽ࠆ‫ޕ‬ᮮᣇะߩ▸࿐ = 4ǻ[frame]1/30[s/frame] 1.5[m/s]  =11.78[m]ߣ㧘▚಴ߔࠆߎߣ߇ߢ߈ࠆ‫ޕ‬࿑ 2 ߦኻߒߡ߽ห᭽ߦ㧘ǻ

=0.101 ߣ᳞߼ࠄࠇ㧘ᦨዊ୚₸ߪ 0.972㧘ᦨᄢ୚₸ߪ 1.375
ߣߥࠆߚ߼㧘❑ᣇะߩ▸࿐ߪ㧘❑ᣇะߩ▸࿐ = (1.375 – 0.972 ) 10[m]

࿑  ࿑  ߩࡈࠖ࠶࠹ࠖࡦࠣ⚿ᨐ(a= -0.693, b= 0.271, c= 134.2, d= 83.33)= 4.04[m]‫ޣ‬૏⟎․ቯ‫ޤ‬ߣ㧘▚಴ߔࠆߎߣ߇ߢ߈ࠆ‫ޕ‬ጊ߇ᬌ಴ߐࠇߚ႐ว㧘ᄌᢙ c ߣ d ߩ୯߆ࠄጊߩ᏷ࠍ᳞ߎߩ⚿ᨐ 㧘❑ ᣇะߣᮮ ᣇะ ߩ▸࿐ߩ Ⓧ㧘 ߔߥࠊߜ47.58[m2]ߦ▸࿐ࠍ․ቯߢ߈ߚߎߣߦߥࠅ㧘ඨᓘ 100[m]߼㧘૏⟎․ቯߩ▸࿐ࠍ▚಴ߔࠆ‫ޕ‬ጊߩ᏷ߣߪ㧘ᮮᣇะߩࠣ࡜ࡈߩ႐วߪࡈ࡟࡯ࡓᢙ㧘❑ᣇะߩࠣ࡜ࡈߩ႐วߪ᜛ߩ౞߆ࠄ⠨߃ࠇ߫⚂ 1/650 ߦ⛉ࠅㄟ߻ߎߣ߇ߢ߈ߚߣ޿ᄢ୚₸ߩ▸࿐ࠍ␜ߔ‫⚿ࠣࡦࠖ࠹࠶ࠖࡈޕ‬ᨐߢ޽ࠆᦛ✢ߩ߃ࠆ‫ޕ‬ᮡḰ஍Ꮕσ ߪᄌᢙ d ߆ࠄᑼ(4)ߢ᳞߼ࠆߎߣ߇ߢ߈ࠆ‫ޕ‬㧙㧙㧡㧚ታ 㛎ឭ᩺ᚻᴺߦኻߒ㧘ᄙߊߩ↹௝ߦኻߔࠆ↹௝ࡑ࠶࠴ࡦࠣ․ᕈߣ㧘៤Ꮺ㔚⹤ࠞࡔ࡜߅ࠃ߮࠺࡯࠲ࡌ࡯ࠬ᠟ᓇᯏ᧚ߩᓇ㗀ࠍ⏕⹺ߔࠆߚ߼㧘એਅߩታ㛎ࠍⴕߞߚ‫ޕ‬࠺࡯࠲ࡌ࡯ࠬ↹௝ࠍᚑくᄢቇ᭴ౝ㧘ᚑくᄢቇ๟ㄝߩ౏
㆏㧘૑ቛⴝ 20 ࠞᚲߢขᓧߒߚ‫↹ޕ‬௝ࠨࠗ࠭ߪ 320×240[pixel]ߢ޽ࠅ㧘ࡈ࡟࡯ࡓ࡟࡯࠻ߪ 30fps ߢ޽ࠆ‫౉ߚ߹ޕ‬ജ(e)(f)(g)(h)↹௝ߪ࠺࡯࠲ࡌ࡯ࠬ᠟ᓇ࿾ὐฦ႐ᚲߢ㧘ⶄᢙᨎขᓧߒߚ‫ޕ‬౉ജ↹௝ࠨ߽ࠗ࠭࠺࡯࠲ࡌ࡯ࠬߣหߓ 320×240 [pixel]ߢ

޽ࠆ‫ޕ‬࿑ 5 ߪ᠟ᓇ႐ᚲ㧘࿑ 6 ߪ౉ജ↹௝ߩ৻଀ߢ޽ࠆ‫ޕ‬࿑  ᠟ᓇߒߚ࠺࡯࠲ࡌ࡯ࠬߩ৻଀
 ↹௝ࡑ࠶࠴ࡦࠣ․ᕈߣ៤Ꮺ㔚⹤ᯏ⒳ߩᓇ㗀 ⶄᢙߩ៤Ꮺ㔚⹤ߢหߓ૏⟎߆ࠄ᠟ᓇߒߚ౉ജ↹௝ࠍ↪޿ߡ㧘ታ㛎ࠍⴕߞߚ‫ޕ‬એਅߦታ㛎⚿ᨐࠍ៤Ꮺ㔚⹤ᯏ⒳ߏߣߦ␜ߔ‫ޕ‬࿑  ࠺࡯࠲ࡌ࡯ࠬ߅ࠃ߮౉ജ↹௝᠟ᓇ႐ᚲ㧔ᚑくᄢቇ᭴ౝ  ࡩᚲ㧕࿑  ⋧㑐ଥᢙ㧔ᯏ⒳ #㧕(a)(b)࿑  ⋧㑐ଥᢙ㧔ᯏ⒳ $㧕(c)(d)

㧙㧙᠟ᓇ૏⟎߇หߓߢ޽ߞߡ߽↹௝ߦᤋࠆᑪ‛ߩ▸࿐߿ᄢ߈ߐ㧘ᱡߺߥߤ߇⧯ᐓߢߪ޽ࠆ߇⇣ߥߞߡ޿ࠆ‫ߩࠄࠇߎޕ‬ⷐ⚛߇⋧㑐ଥᢙߦᓇ㗀ࠍ෸߷ߒߡ޿ࠆߩߢߪߥ޿߆ߣ⠨߃ࠄࠇࠆ‫ޕ‬ ࠺࡯࠲ࡌ࡯ࠬ᠟ᓇᯏ᧚ߩᓇ㗀᠟ᓇᯏ᧚ 3 ⒳(࠺ࠫ࠲࡞ࡆ࠺ࠝࠞࡔ࡜㧘࠙ࠚࡉࠞࡔ࡜㧘៤Ꮺ㔚⹤)ࠍ↪޿ߡ᠟ᓇߒߚ࠺࡯࠲ࡌ࡯ࠬߣ㧘౉ജ↹௝ߩ࿑  ⋧㑐ଥᢙ㧔ᯏ⒳ %㧕ࡑ࠶࠴ࡦࠣࠍⴕߞߚ‫ޕ‬એਅߦታ㛎⚿ᨐࠍ࠺࡯࠲ࡌ࡯ࠬߏߣߦ␜ߔ‫ޕ‬࿑  ⋧㑐ଥᢙ㧔ᯏ⒳ &㧕࿑  ࠺࡯࠲ࡌ࡯ࠬ߇៤Ꮺ㔚⹤ࠞࡔ࡜ߩ႐ว
࿑ 7㨪10 ߪ㧘࠺࡯࠲ࡌ࡯ࠬേ↹ߣหߓᑪ‛ࠍ㧘หߓ૏

್೎ᑼ㧦Z = 42.77x + y – 9.56

⟎߆ࠄ 4 ᯏ⒳ߩ៤Ꮺ㔚⹤ࠞࡔ࡜ߢ᠟ᓇߒߚ႐วߩ⋧㑐ଥᢙߩࠣ࡜ࡈߩ৻଀ߢ޽ࠆ‫ޕ‬ฦᯏ⒳ߢ⋧㑐୯ߦᄙዋߩ㆑޿

߇޽ࠆ߽ߩߩ㧘߶߷หߓࡈࠖ࠶࠹ࠖࡦࠣ⚿ᨐ߇ᓧࠄࠇߚ‫ޕ‬
࿑ 7㨪10 ߩ႐ว㧘౉ജ↹௝߇᠟ᓇߐࠇߚ૏⟎ߪ㧘࠺࡯࠲ࡌ࡯ࠬേ↹ߩࡈ࡟࡯ࡓߣᲧセߔࠆߣ 380[frame]೨ᓟߩ૏

⟎ߢ޽ࠅ㧘ߤߩᯏ⒳ߩ౉ജ↹௝ߢ߽᠟ᓇ▸࿐ࠍᱜߒߊ․ቯߢ߈ࠆߎߣ߇ࠊ߆ࠆ‫ޕ‬
⴫ 2 ߪߎࠇࠄߩ࠺࡯࠲߆ࠄ್೎ᑼࠍ᳞߼㧘್೎ࠍⴕߞ
ߚ⚿ᨐߢ޽ࠆ‫ޕ‬ᱜ್೎₸ߣߪ㧘᠟ᓇ႐ᚲߩ৻⥌࡮ਇ৻⥌ࠍ್೎ᑼߢᱜߒߊ್೎ߔࠆߎߣ߇ߢ߈ߚᲧ₸‫ޕ‬ᬌ಴♖ᐲ࿑  ࠺࡯࠲ࡌ࡯ࠬ߇࠙ࠚࡉࠞࡔ࡜ߩ႐วߣߪ㧘᠟ᓇ႐ᚲ߇৻⥌ߒߡ޿ࠆߣ್೎ߐࠇߚ࠺࡯࠲ߩౝ㧘್೎ᑼ㧦Z = 21.74x + y – 3.99

ታ㓙ߦ႐ᚲ߇৻⥌ߒߡ޿ࠆᲧ₸ߢ޽ࠆ‫ޕ‬⴫  ៤Ꮺ㔚⹤ᯏ⒳೎ ᱜ್೎₸ߣᬌ಴♖ᐲ
⴫ 2 ߆ࠄࠊ߆ࠆࠃ߁ߦ㧘ߤߩᯏ⒳ߢ޽ߞߡ߽ 80%એ਄ߩ♖ᐲߢᬌ಴ߔࠆߎߣࠍ⏕⹺ߢ߈ߚ‫ޕ‬
ᯏ⒳ߏߣߩᬌ಴♖ᐲߩ㆑޿ߪ㧘ฦ៤Ꮺ㔚⹤ࠞࡔ࡜ߢ↪
޿ࠄࠇߡ޿ࠆ࡟ࡦ࠭߇⇣ߥࠅ㧘⋧㑐ଥᢙߦ⧯ᐓߩ㆑޿߇࿑  ࠺࡯࠲ࡌ࡯ࠬ߇ࡆ࠺ࠝࠞࡔ࡜ߩ႐ว಴ࠆߚ߼ߢ޽ࠆߣ⠨߃ࠆ‫ޕ‬᠟ᓇߒߚ↹௝ࠍᲧセߔࠆߣ㧘್೎ᑼ㧦Z = 18.55x + y -3.25㧙㧙⴫  ࠺࡯࠲ࡌ࡯ࠬࠞࡔ࡜೎ ᱜ್೎₸ߣᬌ಴♖ᐲ․ቯ▸࿐ᐔဋ 170[m2]⴫ 3 ࠃࠅ៤Ꮺ㔚⹤ࠞࡔ࡜߇࠺࡯࠲ࡌ࡯ࠬߩ႐วߪ⺋ᬌ಴߇ዋߥ߆ߞߚߎߣ߇ࠊ߆ࠆ‫࡯࠺߇࡜ࡔࠞࡉࠚ࠙ߚ߹ޕ‬࠲ࡌ࡯ࠬߩ႐ว㧘ᬌ಴♖ᐲ߇ 78㧑ߣઁߩ࠺࡯࠲ࡌ࡯ࠬߦ
Ყߴ㧘⧯ᐓ♖ᐲ߇ૐਅߒߡ޿ࠆ‫ޕ‬៤Ꮺ㔚⹤ࠞࡔ࡜ߩ࠺࡯
࠲ࡌ࡯ࠬ߇৻⇟♖ᐲ⦟߆ߞߚߩߪ౉ജ↹௝߽៤Ꮺ㔚⹤ࠞࡔ࡜ࠍ૶↪ߒߡ޿ߡ㧘ࠞࡔ࡜ࡕࠫࡘ࡯࡞߇หߓߛߞߚߚ
߼ߣ⠨߃ࠄࠇࠆ‫ޕ‬࿑  ឭ᩺ᚻᴺߦࠃࠆᐔဋ․ቯ㕙Ⓧ ․ቯ㕙Ⓧ
⴫ 2㧘3 ࠃࠅᱜߒߊ್೎ߐࠇߚ࠺࡯࠲ߦ㑐ߒߡ㧘៤Ꮺ㔚⹤ࠞࡔ࡜↹௝ࠍ᠟ᓇߒߚ૏⟎▸࿐ࠍ․ቯߒߚ‫ ⴫ޕ‬4 ߦ៤㧢㧚੹ᓟߩ⺖㗴Ꮺ㔚⹤ᯏ⒳೎ߩ․ቯ㕙Ⓧ㧘⴫ 5 ߦ࠺࡯࠲ࡌ࡯ࠬ᠟ᓇࠞࡔ
࡜೎ߩ․ቯ㕙Ⓧࠍ␜ߔ‫ޕ‬៤Ꮺ㔚⹤ࠞࡔ࡜ߩ․ᕈߦߟ޿ߡߪ㧘࠺࡯࠲ࡌ࡯ࠬേ↹ߩ᠟ᓇᯏ᧚ߣߣ߽ߦ੹ᓟߐࠄߥࠆታ㛎߇ᔅⷐߢ޽ࠆ‫ޕ‬ᯏ⴫  ៤Ꮺ㔚⹤ᯏ⒳೎ ․ቯ㕙Ⓧ⒳ߏߣߩ․ᓽ߿ઁᯏ⒳ߣߩ㘃ૃᕈࠍᬌ⸽ߒ㧘৻⥌ߒߡ޿ࠆ႐วߦߪࠃࠅ㜞޿⋧㑐ଥᢙߣߥࠆࠃ߁㧘↹௝ࠍಽഀߒߡߩࡑ࠶࠴ࡦࠣ߿❑ᣇะ࡮ᮮᣇะߩߺߩ᜛ᄢ❗ዊಣℂߥߤⴕߞߡ޿߈ߚ޿‫ߩߘޕ‬਄ߢ㧘ࠃࠅ᳢↪ᕈߩ޽ࠆ್೎ᑼࠍ▚಴ߒ㧘ᬌ಴♖ᐲߩะ਄ࠍ⋡ᜰߔ‫ޕ‬߹ߚ⃻࿷㧘౉ജ↹௝ߪᑪ‛ࠍᱜ㕙߆ࠄ᠟ᓇߒߚ↹௝ߩߺߦ㒢ቯߒߡ߅ࠅ㧘ߘߩߚ߼ᑪ‛ࠍᢳ߼߆ࠄ᠟ᓇߒߚ႐⴫  ࠺࡯࠲ࡌ࡯ࠬࠞࡔ࡜೎ ․ቯ㕙Ⓧว㧘⋧㑐ଥᢙ߇ૐਅߒ૏⟎․ቯ߇ߢ߈ߥߊߥࠆߎߣ߇੍ᗐߐࠇࠆ‫ޕ‬ᑪ‛ࠍᱜ㕙߆ࠄ᠟ᓇߔࠆߎߣࠍ᧦ઙߣߒߚߣ
ߒߡ߽㧘᠟ᓇᤨߦᄙዋ௑޿ߡߒ߹߁ߎߣߪචಽߦᗐቯߐࠇࠆߎߣߛߣᕁࠊࠇ㧘౉ജ↹௝ߩ኿ᓇᄌ឵ߥߤߩಣℂ߇ᔅⷐߢ޽ࠆߣ⠨߃ࠄࠇࠆ‫౉ޕ‬ജ↹௝ౝߦੱ߿ゞ㧘᠟ᓇ⠪ߩᜰߥߤ߇ᤋࠅߎࠎߛ႐วߥߤߦߟ޿ߡ߽㧘࠺࡯࠲߳ߩ

⴫ 4㧘5 ߆ࠄࠊ߆ࠆࠃ߁ߦ㧘್೎ᑼߢᱜߒ޿ߣ್೎ߐࠇ

ᓇ㗀ߩ⺞ᩏ߿ᚻᴺߩᬌ⸛ࠍⴕߞߡ޿߈ߚ޿‫ޕ‬ߚ࠺࡯࠲ߩ․ቯ㕙Ⓧߦߪ㧘៤Ꮺ㔚⹤ᯏ⒳޽ࠆ޿ߪ࠺࡯࠲

ߐࠄߦ㧘⃻Ბ㓏ߢߪ 1 ߟߩ⚿ᨐࠍ಴ജߔࠆ߹ߢߦ 1㨪2ࡌ࡯ࠬ᠟ᓇᯏ᧚ߏߣߦᄙዋᄌേ߇⷗ࠄࠇࠆ‫ߒ߆ߒޕ‬ᐔဋ

ಽߩಣℂᤨ㑆ࠍᔅⷐߣߒߡ޿ࠆ‫ߪࡓ࠹ࠬࠪߩߎޕ‬៤Ꮺ㔚․ቯ㕙Ⓧࠍߺࠆߣ㧘៤Ꮺ㔚⹤ᯏ⒳೎ߢߪᦨᄢ 24.9[m ]ߩ⹤ࠍ↪޿ࠆߎߣࠍᗐቯߒߡ߅ࠅ㧘․ߦ✕ᕆᤨߩ೑↪߇⋡

2Ꮕ⇣㧘࠺࡯࠲ࡌ࡯ࠬ᠟ᓇᯏ᧚೎ߢߪᦨᄢ 19.3[m ]ߩᏅ⇣⊛ߦ޽ࠆߎߣࠍ⠨߃ࠆߣ㧘ߎߩಣℂᤨ㑆ߢߪ߹ߛਇචಽ

ߢ޽ࠅ㧘៤Ꮺ㔚⹤ᯏ⒳߿࠺࡯࠲ࡌ࡯ࠬ᠟ᓇᯏ᧚ߩ㆑޿ߦ

ߣᕁࠊࠇࠆ‫ࠬ࡯ࡌ࠲࡯࠺ޕ‬േ↹ߩࡈ࡟࡯ࡓ࡟࡯࠻߿ࡑ࠶

2ࠃࠆᓇ㗀ߪዋߥ޿ߎߣ߇ࠊ߆ࠆ‫ޕ‬࠴ࡦࠣᚻᴺߥߤ⠨ᘦߒ㧘↹௝᠟ᓇ࡮GPS ᖱႎขᓧ߆ࠄ૏߹ߚ㧘ߎߩࠃ߁ߥᄌേߦኻߒߡ߽㧘៤Ꮺ㔚⹤ GPS ߩߺ⟎․ቯ߹ߢߩᤨ㑆ߣߒߡ 10 ⑽೨ᓟࠍ⋡ᜰߒߚ޿‫ޕ‬ߩ૏⟎․ቯ▸࿐ߢ޽ࠆඨᓘ 100[m]ߩ౞ߣᲧセߔࠆߣ㧘ᐔဋߒߡ⚂ 1/185 ߦ⛉ࠅㄟ߻ߎߣ߇น⢻ߢ޽ࠅ㧘․ቯ▸࿐㧣㧚߻ߔ߮ߦᡷༀ߇⏕⹺ߐࠇߚ‫ޕ‬࿑ 14 ߪ㧘GPS ߩ⺋Ꮕ▸࿐ߢ޽ࠆ៤Ꮺ㔚⹤ GPS ߩ⺋Ꮕ▸࿐ࠍ↪޿ߡ᠟ᓇ૏⟎ࠍផቯߒ㧘ඨᓘ 100[m]ߩ౞ߣ㧘ᧄታ㛎ߢ․ቯߔࠆߎߣ߇ߢ߈ߚ㗔ၞ࠺࡯࠲ࡌ࡯ࠬߩേ↹௝ߣ៤Ꮺ㔚⹤ࠞࡔ࡜ߦࠃࠆ㕒ᱛ↹ߩߩᐔဋ㕙Ⓧࠍ␜ߒߡ޿ࠆ‫ޕ‬㧙㧙ࡑ࠶࠴ࡦࠣߦࠃࠅ㧘ߤߩ⒟ᐲ૏⟎♖ᐲࠍะ਄ߢ߈ࠆ߆․10)ᕈ⹏ଔࠍⴕߞߚ‫ߚ߹ޕ‬㧘ឭ᩺ᚻᴺߦኻߔࠆ౉ജ↹௝ࠍ᠟

pp.127~132ఽፉ㧘ᚭᎹ㧘ᩉỈ㧘ᄢ㒝㧦̌ᱠⴕ⠪࠽ࡆࠥ࡯࡚ࠪࡦ

ᓇߔࠆ៤Ꮺ㔚⹤ࠞࡔ࡜ߩ․ᕈ㧘߅ࠃ߮࠺࡯࠲ࡌ࡯ࠬߩ᠟ߦ߅ߌࠆ㆏〝ᮡ⼂ࠍ↪޿ߚ૏⟎․ቯࠪࠬ࠹ࡓߩߚ

ᓇᯏ᧚ߦࠃࠆᓇ㗀ߦߟ޿ߡᲧセ㧘ᬌ⸛߽ⴕߞߚ‫ޕ‬߼ߩ᠟ᓇ⁁ᴫߦଐሽߒߚ⹺⼂ᐲ⺞ᩏ”㧘ାቇᛛႎ㧘ᧄ⺰ᢥߢឭ᩺ߒߚ⋧㑐ଥᢙߣߘߩࠟ࠙ࠪࠕࡦࡈࠖ࠶࠹11)ࠖࡦࠣߦࠃࠆᚻᴺߪ㧘ฦ⒳ࠞࡔ࡜ߦࠃࠆ࠺࡯࠲ࡌ࡯ࠬ߅
ࠃ߮៤Ꮺ㔚⹤ࠞࡔ࡜↹௝ߦኻߒ㧘ᦨૐߢ߽ 78%ߩᬌ಴♖2࠺࡯࠲ࡌ࡯ࠬ᠟ᓇᯏ᧚೎ߢߪᦨᄢ 19.3[m ]ߩᏅ⇣ࠍ↢ߓ212)ࠆߩߺߢ޽ࠆ‫ߦ߁ࠃߩߎޕ‬ឭ᩺ᚻᴺߪ㧘ᄙ᭽ߥⅣႺߦࡠࡃࠬ࠻ߥᣇᑼߣ޿߃ࠆ‫ޕ‬13)ᧄ⎇ⓥߩ৻ㇱߪ㧘ᢥ⑼⋭ᚢ⇛⊛⎇ⓥၮ⋚ᒻᚑᡰេ੐ᬺ
ߦࠃߞߡⴕࠊࠇߚ‫ߡߒ⸥ޕ‬㧘ᗵ⻢ߔࠆ‫ޕ‬14)ෳ⠨ᢥ₂1)

2)
3)
4)

5)

15)

ᐔᚑ 21 ᐕ ᖱႎㅢା⊕ᦠ

http://www.johotsusintokei.soumu.go.jp/whitepaper/ja/h21/index.html

16)

B.ࡎࡈࡑࡦ-࠙ࠚ࡟ࡦࡎࡈ, H.࡝ࡅ࠹ࡀࠟ࡯/J.ࠦ࡝ࡦ
࠭.㧦“GPSℂ⺰ߣᔕ↪” Spriger Japan 2005

ᐔ㊁, et al.㧦“GPS ᖱႎߩ⺋Ꮕ❗ዊ”ᤋ௝ᖱႎࡔ࠺ࠖ
ࠕቇળ 2008 ᐕᤋ௝ᖱႎࡔ࠺ࠖࠕቇળ౻ቄᄢળ 7-3

Ⴆ↰, et al.:̌៤Ꮺ㔚⹤ GPS ․ᕈߩ⹦⚦᷹ቯߣߘߩᬌ⸛”, ITE Technical Report Vol33, No.11, pp.29~32,
Feb 2009

ᵻᎹ, et al.㧦“ἴኂᤨߦ߅ߌࠆ቟ో቟ᔃᖱႎߩ෼㓸࡮⹤ߩᔕ↪㧙”, ITE Technical Report Vol33, No.11,pp.123~126, Feb 2009೎ᚲ㧘ዊᨋ㧘⿧Ⴆ㧘ဈ᧛㧦“࡙ࡆࠠ࠲ࠬࠦࡦࡇࡘ࡯࠹ࠖࡦࠣߣደౝⅣႺߩ૏⟎⹺⼂”㧘㔚ሶᖱႎㅢାቇ7)

ળ⹹ Vol.92㧘No.4㧘2009ዊ⷏㧘ᩊፒ㧦̌૏⟎ᖱႎขᓧߩߚ߼ߩ⛔วࡊ࡜࠶࠻ࡈࠜ࡯ࡓߦ㑐ߔࠆၮ␆⊛⎇ⓥ̍㧘Vol.2004㧘No.4㧘8)

pp.77~84㧘2004⷏Ꮉ㧘㑆ਅ㧘ᷡᎹ㧘┻᧛㧦“GPS ߣടㅦᐲ࠮ࡦࠨࠍ↪޿ߚ࠙ࠚࠕ࡜ࡉ࡞ቇ⠌ࠪࠬ࠹ࡓߩߚ߼ߩ⒖േࠬ
ࠤࠫࡘ࡯࡞੍᷹”㧘ାቇᛛႎ MVE 08(379), pp.11~16,9)

pp.13~18

࿃, et al.㧦“GPS ߣࠞࡔ࡜↹௝ߦࠃࠆ૏⟎․ቯᴺߩᬌ⸛”, ITE Technical Report Vol33㧘No.11㧘pp.25~28㧘

Feb 2009

Hirano, et al..㧦“Location Identification by GPSand Images of Mobile Phones”, ITE TechnicalReport Vol.32㧘No.39㧘pp.1~4㧘Sep 2008ർῪ㧘et al.㧦“៤Ꮺ㔚⹤ࠞࡔ࡜↹௝ࠍ↪޿ߚ૏⟎․ቯᚻᴺߩᬌ⸛”㧘ାቇᛛႎ Vol. 109㧘No. 204㧘

MoMuC2009-29㧘 pp. 15-20㧘2009ᐕ9᦬.

Kitazume, et al.㧦“GPS Precision Improvement

System by Mobile Phone Camera Images”㧘
ICMU2010㧘April 2010ർῪ㧘et.al.㧦“៤Ꮺ㔚⹤ࠞࡔ࡜↹௝ࠍ↪޿ߚ૏⟎․ቯᚻᴺߩᬌ⸛(2)”㧘ITE Technical Report Vol.34㧘

No.10㧘pp.117~120㧘2010ᐕ2᦬⴫␜ࠪࠬ࠹ࡓߦߟ޿ߡ㧙GPS ᯏ⢻ࠍ↪޿ߚ៤Ꮺ㔚6)㎨ේ㧘ᦥ↰㧘ਅ᪯㧦̌૏⟎ᐳᮡઃ߈↹௝࠺࡯࠲ࡌ࡯ࠬߦࠃࠆ㘃ૃᐲߣ GPS ᐳᮡࠍ↪޿ߚ᠟ᓇኻ⽎ᑪ‛․ቯᚻᴺ”㧘ାቇᛛႎ㧘Vol.106㧘No.98㧘DE2006-13㧘

ᐲࠍᓧࠆߎߣ߇ߢ߈ߚ‫ߚ߹ޕ‬㧘⴫ 4㧘5 ߇␜ߔࠃ߁ߦ㧘ᐔ

ဋ․ቯ㕙Ⓧߪ㧘៤Ꮺ㔚⹤ᯏ⒳೎ߢߪᦨᄢ 24.9[m ]ߩᏅ⇣㧘

Vol.108㧘No.171㧘ITS2008-14㧘pp.37~42

2009, 0108

਄㊁㧘ᯅᧄ㧘☨ጊ㧘Ꮉ↰㧦̌SIFT ࠍ↪޿ߚㇺᏒⅣႺߩᑪ‛↹௝ᬌ⚝ߦࠃࠆ࡙࡯ࠩ૏⟎࡮ᣇะផቯᚻᴺߦ
㑐ߔࠆ৻ᬌ⸛”㧘ାቇᛛႎ㧘Vol.109㧘No.306㧘

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