| Applications and Acknowledgements  B3. Application to Real Data
 There has to be a 
	way to identify the four points (and foot-line, if possible); 
	start-heel-point, rear-pelvic joint, step-pelvic joint and step-heel-point, 
	at the instant of heel contact.
 
 An overhead picture may be enough to 
	get quick measurements. The required points should be identifiable by 
	inspection. It has to be the projection onto the floor anyway. This might 
	not be very accurate, but should be good enough to use at the beginning, to 
	get used to the measurement system, and help judge what kind of accuracy is 
	needed to get meaningful results.
 
 To create the Step Model, draw a 
	line from the start-heel-point to rear-pelvic joint, then extend this past 
	where the straddle-line from the step-pelvic joint connects with it.
 
 Draw a line from the step-heel-point to the step-pelvic joint. This is the 
	step-out-line, and the angle from the straight line is the leg angle. 
	Connect the pelvic joints, and fill in the rest of the figure as shown.
 
	 Note: In Fig. 15, the foot offset is caused by rotation at the 
	rear-pelvic joint alone, ie. there is no rotation at the step-pelvic joint. 
	Also, it appears the reference line for the leg angle is "outside the step". 
	The reference is actually the rear-leg-line, but any line parallel to it can 
	also be used.
 If data was available for a person walking over several 
	strides, a Step Model could be made for each step, and the path recreated 
	with the models.
 
 This method can also be applied under any 
	conditions.
 
 One study could be how a person's step characteristics 
	change when, for eg., they're carrying something heavy. Others might show 
	important aspects of balance control vs direction, descriptions of standard 
	"control" characteristics, etc. Many intriguing experiments could study the 
	effects of physical activity or injury on step patterns. One person could be 
	studied over a period of time, with new tests whenever they report a change 
	in their physical, or even mental, condition. The list could go on and on 
	and on...
 
 Another compelling advantage is that sequential Step Models 
	can be made for both feet over the whole path, then compared side by side. 
	And, Step Models from different times, even months or years apart, are 
	easily comparable, as well as from other individuals (perhaps to compare the 
	effects of the same affliction).
 
 Fig. 16 shows a sample analysis set 
	for a patient with a gait abnormality. This shows the level of detail 
	inherent in the system, but the linear parameters are held constant for 
	clarity, and there's no pelvic-stretch or aberrations.
 
 In practice, 
	each step could (and almost certainly does) have unique values for every 
	parameter. With an overhead view, all of them could be determined for every 
	step.
 
 The main line description is L21{0}[21]R21{0}[21]str14, both 
	feet 21cm step-out line, 0 pelvic-stretch, 21cm rear-leg-line and 14cm 
	straddle-line.
 
 The line description for R1(below) of R(5)L-20L-<20>R 
	reads as right foot (5 deg leg angle)offset left-20deg foot angle left- 
	20deg push-off angle right. This results in a net angular shift of 5 deg L 
	over the step, as well as a small extra component left due to the side-step 
	character of the foot offset.
 
	 Following are the Step Model line descriptions for 4 steps of each foot, 
	from Fig. 16.  
	 Step, stride, etc. measures can be taken wrt every heel-point. There's a 
	great deal of information in Fig 16.
 If there was a difference in 
	straddle-line (and pelvic-stretch) for adjacent steps, two models would be 
	aligned at the heel-point, and each step would use the model with its 
	straddle-line as the reference for that step. The reference heel-points for 
	each model can then be related wrt distance and direction, similar to an 
	aberration.
 
 Again, this is only an example to show how easy it is to 
	compare steps. For a real case, each step would also include the main line 
	description of step-out-line, pelvic-stretch, rear-leg and straddle lines.
 
 The original footfall plot can be manipulated in many ways. How these 
	relate to other gait factors, like different joint rotations, velocity, 
	forces, etc., are matters to be discovered.
 
	 B4. Correction mechanisms
 Correction mechanisms 
	refer to how people cope with errant distance and/or direction changes, such 
	as introduced by injury, fatigue or terrain.
 
 For eg., in the clinical 
	example, Fig 16 and 17, the subject has consistent deviations in the right 
	foot of (5)L and 20L, due to a physical abnormality. This leads to a 
	constant 25 deg deviation with each right step. Attempts to correct for the 
	straight path result in erratic foot offset in the left foot, and also 
	push-off angle, as well as push-off angle in the right foot.
 
 It may 
	turn out that direction in walking is mainly determined by correction 
	mechanisms, and that most steps could be considered an attempt to correct 
	previous direction deviations, to maintain a straight path to the objective.
 
 This could be a very large and interesting area of study.
   
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