Using the Xbox Kinect Sensor for Positional Data Acquisition

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Transcript Using the Xbox Kinect Sensor for Positional Data Acquisition

The Phone Book Myth Revisited
and a Question
Jorge Ballester
Emporia State University
YouTube Videos
β€’ Discovery Mythbusters-The Phone Book Myth
β€’ Mythbusters-Phone Book Friction
β€’ Video Conclusion: The phone books can be
ripped apart but cannot be slid apart.
Post-it® Note Analog
Improved design by Travis Finney
Field Testing
Model: Charlie Mahoney
Chinese Finger Trap Model
http://couragetostutter.net
a=page thickness
π‘Ž
1
β‰ˆ
β‰ͺ1
𝑏 200
N pages on each side
1
β‰ͺ1
𝑁
mth page
Pm+1
m
fm+1
fm
Tm
Pm
βˆ’π‘ƒπ‘š+1 + π‘ƒπ‘š βˆ’ π‘‡π‘š π‘ π‘–π‘›πœƒπ‘š = 0
π‘Ž
𝑏
β€’ βˆ†π‘ƒπ‘š β‰ˆ βˆ’π‘‡π‘š βˆ™ βˆ™ π‘š
Assume uniform tension
β€’ π‘ƒπ‘š β‰ˆ 𝑇 βˆ™
π‘Ž
2𝑏
βˆ™ 𝑁 2 βˆ’ π‘š2
β€’ 𝑓𝑠,π‘šπ‘Žπ‘₯ β‰ˆ 𝐹 βˆ™
πœ‡π‘  π‘Ž
3𝑏
βˆ™ 𝑁 2 (F=applied force)
Critical Number of Pages
π‘π‘π‘Ÿπ‘–π‘‘π‘–π‘π‘Žπ‘™ β‰ˆ
3𝑏
β‰ˆ 30 π‘π‘Žπ‘”π‘’π‘ 
πœ‡π‘  π‘Ž
Good
β€’ Reasonable physical basis
β€’ Relatively simple formula
β€’ Prediction of critical number of pages
Bad
β€’ Uniform tension assumption
β€’ Testing all parameters is elusive.
Ugly
β€’ Interleaving the pages is inherently imprecise.
Questions:
β€’ Why do we do this?
𝐹𝑦 = 𝑁 βˆ’ π‘šπ‘”π‘π‘œπ‘ πœƒ = π‘šπ‘Žπ‘¦ = 0
β€’ Why don’t we do this?
𝐹𝑦 = π‘šπ‘Žπ‘¦
𝑁 βˆ’ π‘šπ‘”π‘π‘œπ‘ πœƒ = 0