Reflection of Lines in OpenCV and Python

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I am trying to calculate the reflection of a line on a surface in OpenCV.

I work with a projectile im tracking which is drawing line 2 and a border.

I "just" want to draw a line of the bounce angle as you can see in my drawing.

Skizze 1

I got a code that calculate the angle of three given points but in my example line 2 is not static. It will move because its drawn by a moving projectile. So to calculate this i need the intersection point of the border and Line 2. Im kinda struggeling to get that..

Is there an easy way to solve this ?

Thank you.

math opencv geometry python
1 Answers

From your comment:

Projectile coordinates (P0)

(center_x, center_y)

Impact point (P1)

(predicted2[0], predicted2[1])

Border extremes (A, B)

(Ax, Ay), (Bx, By)

I assume that P1 belongs to the segment AB.

You should project P0 in the straight line passing by A, B. Call this point PP. You should then compute

arctan(distance(PP,P1)/distance(P0,PP))

This is equal to alpha, that you can use to compute the reflection segment, depending on how long it is.

I suggest to use the shapely library:

https://shapely.readthedocs.io/en/stable/manual.html

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