Reflection about a Line - 2-D and 3-D Transformations

Reflection is a transformation that produces the mirror image of an object. Since we discussed that the mirror reflection assists in achieving 8-way symmetry for the circle to make simpler the scan conversion process. For reflection we require to know the reference axis or reference plane depending upon where the object is2/3-D.

Suppose the line L be shown by y=mx+c, here 'm' is the slope along w.r.t. the x axis, and 'c' is the intercept on y-axis, as demonstrated in Figure. Assume that P'(x',y') be the mirror reflection regarding the line L of point P(x,y).