Angle determination between pinned curved line.

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GA optimization
GA optimization le 6 Jan 2014
How to find out the angle ϕ shown in above figure? line is pinned at different points.
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Walter Roberson
Walter Roberson le 6 Jan 2014
Is the curved line a cubic spline ?

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Roger Stafford
Roger Stafford le 6 Jan 2014
Modifié(e) : Roger Stafford le 6 Jan 2014
If s1 is the derivative of the curve on the left at the middle point and s2 the derivative of the curve on the right side at the middle point, the upper angle between the two tangent lines to the curves at that point is given in radians by:
a = mod(atan2(s2-s1,-1-s1*s2),2*pi);
To convert the angle to degrees, multiply this by 180/pi.

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