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A lumbar spine specimen from L1 to L3 is tested under a flexion moment with L3 fixed and L1 and L2 free to move. Three IREDs are attached to each vertebra and the 3-D location of each marker is known in two positions. Using the values given below calculate rotation about and translation along a helical axis for L1 and L2. All coordinates are given in the fixed reference frame.
Position 1
Position 2
reference LEDs
x
y
z
1
242.2
183.4
56
242.3
183.7
55.7
2
39.3
186.5
58
186.8
58.1
3
138.4
82
57.6
138.5
82.2
L1 LEDs
261
212.7
111.5
260.3
222.4
127.4
43.1
196.3
116.4
42.2
205.8
129.5
130.5
96.7
104
129.6
106.6
136.8
L2 LEDs
214.5
164.8
240.1
240.5
184.5
31.6
204.1
144.7
30.1
224.6
163.1
149.7
119.1
152.8
148
145.2
197.4
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