Transformation regarding to the mirror reflection to line, Computer Graphics

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The transformation regarding to the mirror reflection to this line L comprises the subsequent basic transformations:

1) Translate the intersection point A(0,c) to the origin, it transfers the line L to L'.

2) Rotate the transferred line L' by -θ degrees hence the line L' aligns along with the x-axis.

3) Mirror reflection regarding to the x-axis.

4) Rotate the x-axis back via θ degrees

5) Translate the origin back or reverse to the intercept point (0,c).

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