at 
  
103 
——- moderate --- serious —— moderate ---- serious 
   
  
  
  
  
sec 
Fig. 13 Knee Angular Displacement (Plegic-Side) Fig. 14 Knee Angular Velocity (Plegic-Side) 
3.2.3 Kinetic Energy kgnised 
06 
  
Fig. 15 shows that the sum of kinetic energy dur- es | 
ing sit-to-standing movement. In case of the moder- 04 [ 
ate plegic patient, it is smaller. The serious patients 
  
  
  
  
  
0.3 | 
have difficulties for standing or sitting movement. It 
d A : iu 0.2 + 
indicates to need more exercises of rehabilitation. 2 
0.1 | 
0 
  
  
  
moderate serious 
Fig. 15 Sum of Kinetic Energy 
4. DISCUSSION 
In medical data, the average, maximum or minimum value in one moment are usually discussed. The results from 
sequential data can provide biomechanical analysis, especially dynamics. The fluctuation of COG is not even, instable in 
hemiplegic patient. The inclining of COG is in normal-side of the body. The moment of inertia, angular velocity and kinetic 
energy show the measure of resistance of an object at rest to rotation or to change the state of rotation of a rotating object. 
In serious plegic patient, each fluctuation is larger. The problematic side in the body gives burdens to normal-side in the 
body. To know the reciprocal relationships of each and the total influence is important. Regular checking for quantitative 
understanding with biomechanical analysis makes it possible to evaluate and know the details of such situations. 
In further studies, the control system of movement parameters in feedback and feedforward in the body will be dis- 
cussed, whereas, the present results show that 3-D videogrammetric, biomechanical algorithms and analyses provide 
powerful information for medical rehabilitation science. 
REFERENCES 
Murai, S., Okuda, T. and Nakamura, H., 1981. A Study on Analytical Photogrammetry with use of Non-metric Camera. J. 
Tokyo Univ. SEISAN KENKYU, 29(6), pp. 1-15. 
Tsuruoka, M., Shibasaki S., Box, O. E., Murai, S., Mori E., Wada T., etal. 1994. Biomechanical and Mathematical Analysis 
of Human Movement in Medical Rehabilitation Science using Time-Series Data from two Video Camera and a Force Plate 
Sensor. Proceedings ISPRS Commission Ill Symposium, Spatial Information from Digital Photogrammetry and Computer 
Vision, Munich, Germany, Society Photo-Optical Instrumentation Engineers. Bellingham (Washington), pp. 872-877. 
IAPRS, Vol. 30, Part 5W1, ISPRS Intercommission Workshop "From Pixels to Sequences", Zurich, March 22-24 1995