| Part II - Problems with Current Gait 
						Analysis WorkProblems with Current Gait Analysis Work: 
							Carry-line has not been recognizedFoot offset has not been recognizedStride specifics are not understoodInaccurate measurement of the step 
							lengthLine of progression is not an 
							appropriate reference line for angular measurementsNo standard reference positionConflicting and inaccurate 
							definitionsMeasurements are taken at the 
							heel-edgeAberrations aren't measured as a 
							distinct entity   1. Carry-line has not been recognized.
 Stride = carry + step (vectors).
 
 When a 
						person takes a step with the left foot, as they walk the 
						right foot has to be brought up to and then pass the 
						left foot while in the air, in order to take its own 
						step. This action is called the "carry".
 
 Many 
						discussions question how a person can walk with 
						radically different step lines and still show no 
						problems in gait. Disregarding the carry is the critical 
						error which leads to the confusion. Carry is the 
						distance equalization mechanism for the total distance 
						traveled by each foot.
 
 Thus, when the left foot 
						takes a 15" step, the right foot is "carried" for 15". 
						Then, the right foot moves forward with a step of 20", 
						followed by the 20" carry of the left foot. For one full 
						stride, the left foot moves forward by a step of 15" 
						PLUS a carry of 20", for total of 35", and the right 
						moves forward with a carry of 15" PLUS a step of 20", 
						for a total of 35". (Note: These numbers come out even 
						because I assume there are no turns over the step. If 
						there are, as is probably the usual case, opposing step 
						and carries are not equal, and accounts for left/right 
						foot distance variations when turning.)
 
 Step-line 
						can be easily controlled, but carry-line changes as a 
						consequence of the other foot's previous step-line, foot 
						offset and foot angle, as well as the current step’s 
						push-off angle, aberrations, pelvic stretch (and 
						straddle-line). So, distance and direction variations in 
						one foot are reflected by changes in the corresponding 
						carry-line for the other foot.
 
 The carry-line 
						must be included as a distinct distance unit.
   2. Foot offset has not been recognized.
 Foot offset describes how far a person puts their 
						foot to the side of the straight line for that foot, 
						entails a rotation of the step-out line, and shows the 
						contribution from pelvic joint rotations to direction 
						control. Rotation at either pelvic joint results in foot 
						offset.
 
 It's a direction parameter with a 
						side-step part, resulting in a lateral mass shift, as 
						well as a direction change via rotation of the foot-line 
						along with the step-out line. This foot-line rotation, 
						however, is not a foot angle change, since foot angle 
						uses the step-out line as its 0 reference.
 
 This 
						may be why foot offset hasn't been defined until now. It 
						took a logical analysis, not a measurement, to discover 
						it. Measures using the "line of progression" read all 
						foot-line rotations as from foot angle, with no way to 
						distinguish the contribution from foot offset.
 
 Foot offset and foot angle are separate direction 
						parameters which have different characteristics and 
						controls. Foot offset is changed by real or apparent 
						lateral rotation at either pelvic joint, as well as 
						lateral movement at the knee and ankle joints. Foot 
						angle is changed by real or apparent foot-line rotation 
						around the 3D step-out-line axis.
 
 Foot offset 
						must be included as a separate direction entity.
   3. Stride specifics are not understood.
 Comparison of right and left heel to heel stride 
						measurements is not valid as the sole determinant of 
						direction change. The right stride is related to 
						different parts of two consecutive left strides (The 
						step of the first plus the carry of the second.), and 
						vice versa. Several consecutive measurements would 
						minimize this error.
 
 And, measured equality of 
						stride lines doesn't guarantee the person is walking 
						straight.
 
 a) The paths of 2 people both "walking 
						straight" may diverge if they're not walking straight in 
						the same way.
 
 b) A person walking a straight 
						stride may be turning with every step ( I think this is 
						how everyone normally walks. Walking is a controlled 
						stagger. A person is virtually always engaged in 
						turning, according to the lower frame, even if walking 
						“straight”.)
 
 Stride-line (and walking base) is a 
						product of 9 distance and 5 direction elements, and is 
						also the vector sum of the step and carry lines. It is 
						not equivalent to 2 steps. Stride = carry + step 
						(vectors).
   4. Inaccurate measurement of the step length.
 First, it has to be clarified what's being described 
						with the step length (line). To this method, it's an 
						accurate measurement of the distance traveled by the 
						foot over the step, measured from heel-points.
 
 Current literature shows 2 main ways to measure "step 
						length":
 
 1) Left heel-edge to right heel-edge, 
						and vice versa. (This measurement does not accurately 
						describe the total distance traveled by the foot over 
						the step. It includes a part from the pelvis, and shows 
						a different variation with respect to foot offset than 
						the accurate measurement. I call this L/R-line (but, 
						taken from heel-points) see Fig.6)
 
 2) Step = 
						Stride/2. This is a measure that splits stride length in 
						two. And, that's all it is.
 
 Measurements for 
						step-(carry-) line are wrt the appropriate heel-point in 
						the standard start position. This accurately defines the 
						distance traveled by the foot over the step (carry).
 
 Also, even in the clinical literature there's the 
						occasional reference to step length with respect to 
						direction change, saying that different right vs left 
						step lengths will cause a person to change direction. 
						This does not happen. Differences in step length for the 
						left and right feet can not change direction, only 
						distance.
 
 However, since L/R-line is changed by 
						foot offset (as is the step-line), and L/R-line is what 
						many currently define as "step length", direction 
						changes associated with foot offset may appear to result 
						from the change in the L/R-line. But, change in the 
						L/R-line is a consequence of the foot offset, not the 
						cause.
   5. "Line of progression" is not an 
						appropriate reference line for angular measurements.
 The "line of progression" is a decision about 
						direction based on the motion of a mass unit or the 
						position of footfalls. It's a very inaccurate reference 
						line for the measurement of direction parameters like 
						foot angle.
 
 If based on a mass unit, it's motion 
						is what it shows, and if based on footfalls, it varies 
						with foot offset and aberrations.
 
 It also 
						inhibits the recognition of foot offset, since foot-line 
						rotations due to foot angle vs foot offset appear as all 
						from foot angle.
 
 There are 5 consecutive 
						"straight lines forward" which are used as references 
						over the course of a step. These allow the tracking of 
						direction change over the entire step, as contributions 
						from each of the 4 parameters relevant for direction.
   6. No standard reference position.
 There are two separate distance units involved when 
						the foot is in swing phase, the carry and step lines. 
						Since the foot is in the air, and it could have any 
						number of different paths while in the air, how can the 
						two be separated?
 
 This requires the application 
						of an arbitrary, theoretical reference position. The 
						most logical choice for this is the "standard start 
						position”, which is based on the pelvic joint positions 
						and start heel-point at heel-contact.
 
 The 
						"reference-heel-point", where the step-foot is in the 
						air in the standard start position, is the stop/start 
						point for carry/step lines, resp.
 
 But, the foot 
						never has to pass over the standard position, and the 
						person never has to take up the orientation of the 
						standard grid except at the snapshot. Those details are 
						matters for observation, not definition.
 
 This 
						reference position is valid because of the vector nature 
						of all the measured distances.
   7. Conflicting and inaccurate definitions.
 While I’d like to conform to definitions that are in 
						current use, it's not possible. The same terms are used 
						to describe different things, and vice versa, depending 
						who you talk to. Unfortunately, literal terms like step 
						length and stride length have been used to describe 
						inaccurate measurements.
 
 In order to have any 
						kind of discussion, terminology has to be standardized, 
						even for just this paper. All the definitions I've 
						created are unique, and many are accurate versions of 
						currently used terms. So, there was a bit of a dilemma.
 
 Question: How can the new terms be distinguished 
						from current, inaccurate versions of the same ones?
 
 Answer: I use the designation "line" when referring 
						to an accurate quantity.
 
 Any measured distance 
						can be connected with a straight line. Every line has a 
						length. So, reference to the step "line" is a reference, 
						ipso facto, to the step "length", and vice versa. This 
						avoids the vast majority of conflicts, and highlights 
						the vector nature of all the measured distances.
   8. Measurements are taken at the heel-edge.
 Heel-edge measurements are not accurate.
 
 They're easier, but always introduce a variation in both 
						distance and direction with respect to the accurate 
						heel-point measurement. Heel-edge measures do not 
						accurately describe the distance the foot travels over a 
						step or stride, though some may be very close in number.
 
 Accurate measures must be to and from heel-points, 
						even though the time of the snapshot is the instant of 
						heel-contact.
   9. Aberrations aren't measured as a distinct 
						entity.
 Aberrations are anything that 
						changes the heel-point position and/or rotates the 
						foot-line after heel-contact of the current foot, but 
						before the next heel-contact of the other foot.
 
 These are slides, jumps, foot (toe) extensions and 
						rotations on the planted foot, etc. A spin turn is an 
						aberration, but a step turn isn't.
 
 This is a 
						complex and variable set of movements which is separated 
						from the other 7 parameters by the choice of the time 
						snapshots as the time of heel-contact, rather than 
						heel-point contact.
 
 Aberrations is a fundamental 
						parameter which accounts for all relevant changes in the 
						position of the planted foot.
 
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