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ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

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Table-2 : Uncertainty in joint angle estimation during palmer grasp.<br />

(degree w.r.t vertical)<br />

Joint<br />

Angles/<br />

Range<br />

Case-1<br />

θ ± 3σ<br />

Case-2<br />

θ ± 3σ<br />

Z<br />

Z<br />

* ( θ -90 ) w.r.t horizontal for θ PIP and ** ( θ -180 ) for θ DIP which is with in the range.<br />

Table-3 : Uncertainty in Joint offset estimation during palmer grasp. (mm)<br />

li l i1 l i2 l i3 l T1 l T2 l T3<br />

Case-1<br />

Case-2<br />

X<br />

θ MCP<br />

(BF)<br />

[-15 0 ,15 0 ]<br />

2.164<br />

±3.57<br />

-7.5<br />

±1.2<br />

l ± 3σ<br />

41.92 ±1.45 21.19 ±2.19 20.127 ±2.04 62.47 ±0.98 30.05±1.58 22.81 ±1.77<br />

i<br />

l ± 3σ<br />

44.0 ±4.0 21.0 ±4.0 20.0 ±4.0 68.0 ±4.0 32.0 ±4.0 23.0 ±4.0<br />

m<br />

l 3σ<br />

8. CONCLUSION<br />

i<br />

± 39.07 ±1.07 21.59 ±0.73 22.87 ±3.63 60.70 ±1.19 21.88 ±0.91 23.93 ±0.85<br />

l ± 3σ<br />

42.0 ±4.0 22.0 ±4.0 23.0 ±4.0 69.0 ±4.0 23.0 ±4.0 21.0 ±4.0<br />

m<br />

In our approach projective geometry has been extensively used to extract the joint<br />

angles and phalange lengths from a scene along with associated uncertainties. We are<br />

mainly concerned with three canonical types of measurement: (i) distances of points<br />

from planes and (ii) lengths of segments on planar surfaces (iii) angle between segments<br />

in a planer surface. The list of extracted joint parameters is not exhaustive and any two<br />

coplanar points of interest can be selected, whose distance and angle is required. The manual<br />

approach of selecting the points though appears cumbersome at the first instance, but it<br />

excludes the outliers straight away and also gives the user the freedom of selecting the<br />

parameters which he wants. With user-friendly interface, the entire procedure is easy<br />

and fast, even for a novice user.<br />

9. REFERENCE<br />

Z<br />

θ MCP<br />

(OP)<br />

[0 0 ,90 0 ]<br />

47.3<br />

±1.11<br />

63.2<br />

±1.8<br />

Z<br />

θ PIP<br />

(PQ)<br />

[0 0 ,110 0 ]<br />

152.2*<br />

±3.4<br />

126.2*<br />

±2.1<br />

Z<br />

θ DIP<br />

(QR)<br />

[0 0 ,90 0 ]<br />

210.7**<br />

±4.4<br />

212.8**<br />

±5.1<br />

X<br />

θ CMC<br />

(AJ)<br />

[-15 0 ,80 0 Z<br />

θ CMC<br />

(NO)<br />

] [-30 0 ,130 0 X<br />

θ MP<br />

(JK)<br />

] [0 0 ,80 0 ]<br />

-29.7<br />

±1.3<br />

-36.3<br />

±0.8<br />

37.2<br />

±1.0<br />

38.5<br />

±1.1<br />

9.2<br />

±2.6<br />

-17.6<br />

±1.7<br />

Z<br />

θ MP<br />

(ST)<br />

[0 0 ,80 0 ]<br />

9.0<br />

±1.6<br />

24.9<br />

±1.1<br />

Z<br />

θ IP<br />

(TU)<br />

[0 0 ,110 0 ]<br />

56.5<br />

±4.5<br />

32.0<br />

±2.2<br />

1. A.Criminisi, I. Reid and A. Zisserman, Single view metrology, IJCV, 2000, 40(2),<br />

123-148.<br />

2. R. Hartley and A. Zisserman, Multiple View Geometry in Computer Vision,<br />

Cambridge Univ. Press, 2000.<br />

3. Laura Dipietro, Angelo M. Sabatini, and Paolo Dario, A Survey of Glove-Based<br />

Systems and Their Applications, IEEE Transactions on Systems, Man, and<br />

Cybernetics—Part C, 2008, Vol. 38(4), 461-482.<br />

4. http://www.metamotion.com/motion-capture/optical-motion-capture-1.htm<br />

5. John Lin, Ying Wu and Huang, Modeling the Constraints of Human Hand Motion,<br />

Proceedings of Workshop on Human Motion, 2000, 121-126.<br />

6. F. Devernay and O. Faugeras, Automatic calibration and removal of distortion from<br />

scenes of structured environments, In SPIE San Diego, CA, 1995, Vol 2567.<br />

7. R. T. Collins and R. S. Weiss, Vanishing point calculation as a statistical inference<br />

on the unit sphere, In Proc. ICCV, Dec1990, 400–403.

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