Example 1:
0.0 0.0 0.0 0.7 -0.7 0.0
2.0 0.0 0.0 0.7 0.7 0.0
2.0 2.0 0.0 -0.7 0.7 0.0
0.0 2.0 0.0 -0.7 -0.7 0.0
Tangent becomes longer
0.0 0.0 0.0 1.0 -1.0 0.0
2.0 0.0 0.0 1.0 1.0 0.0
2.0 2.0 0.0 -1.0 1.0 0.0
0.0 2.0 0.0 -1.0 -1.0 0.0
and longer
0.0 0.0 0.0 5.0 -5.0 0.0
2.0 0.0 0.0 5.0 5.0 0.0
2.0 2.0 0.0 -5.0 5.0 0.0
0.0 2.0 0.0 -5.0 -5.0 0.0
and longer
0.0 0.0 0.0 10.0 -10.0 0.0
2.0 0.0 0.0 10.0 10.0 0.0
2.0 2.0 0.0 -10.0 10.0 0.0
0.0 2.0 0.0 -10.0 -10.0 0.0
and quite small
0.0 0.0 0.0 0.01 -0.01 0.0
2.0 0.0 0.0 0.01 0.01 0.0
2.0 2.0 0.0 -0.01 0.01 0.0
0.0 2.0 0.0 -0.01 -0.01 0.0
The parameter values for the individual points/tangents of the B-spline are assumed to be equidistant between 0.0 and 1.0.
Example 2:
-2.0 4.0 0.0 1.0 -4.0 0.0
-1.0 1.0 0.0 1.0 -2.0 0.0
0.0 0.0 0.0 1.0 0.0 0.0
1.0 1.0 0.0 1.0 2.0 0.0
2.0 4.0 0.0 1.0 4.0 0.0
Parabola arc in x-y plane tangent "correct"
-2.0 4.0 0.0 0.24 -0.97 0.0
-1.0 1.0 0.0 0.2 -0.4 0.0
0.0 0.0 0.0 1.0 0.0 0.0
1.0 1.0 0.0 0.2 0.4 0.0
2.0 4.0 0.0 0.24 0.97 0.0
Parabola arc in x-y plane tangent amount 1
-2.0 4.0 0.0 2.4 -9.7 0.0
-1.0 1.0 0.0 2.0 -4.0 0.0
0.0 0.0 0.0 10.0 0.0 0.0
1.0 1.0 0.0 2.0 4.0 0.0
2.0 4.0 0.0 2.4 9.7 0.0
Parabola arc in x-y plane tangent longer
-2.0 4.0 0.0 10.0 -40.0 0.0
-1.0 1.0 0.0 10.0 -20.0 0.0
0.0 0.0 0.0 10.0 0.0 0.0
1.0 1.0 0.0 10.0 20.0 0.0
2.0 4.0 0.0 10.0 40.0 0.0
Parabola arc in x-y plane tangent superlong
-2.0 4.0 0.0 0.01 -0.04 0.0
-1.0 1.0 0.0 0.01 -0.02 0.0
0.0 0.0 0.0 0.01 0.0 0.0
1.0 1.0 0.0 0.01 0.02 0.0
2.0 4.0 0.0 0.01 0.04 0.0
Parabola arc in x-y plane tangent minute
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