Hi Eigen users.

Do someone knows if there is a simple way to compute reflections of a point with respect to an hyperplane?

Suppose for example I have a 2-dimensional plane lying in a 3-dimensional space given by the equation x=0 and I want to compute the reflected point of (1,0,0).

The result should be (-1,0,0) for example.

Clearly this method could be useful for higher dimensional hyperplanes too.

How can I do with Eigen 3.0 beta3?
I believe that Householder reflections could do a nice work in this case if paired with Hyperplane class..isn't it?


Thanks again!

I'm not sure that Householder reflectors are very well suited because they can only handle planes passing through the origin. With our Hyperplane class you can already do:

p = p - 2*plane.signedDistance(p)*plane.normal();

Thanks again ggael!