Plane surface parameters understanding

[Norfo]

Good day! Thanks a lot for your work. I would like to understand the parameters of flat surfaces. I'm interested in how I can get the equation of a plane or its other parameters in 3D space relative to the camera. Do I understand correctly that each plane is defined by parameters mean[3] and normal[3]. I have these parameters defined from -1 to 1. As I understand these parameters are normalized. But I still have no idea how to restore the position and orientation of the plane in three-dimensional space from them. Could you help me with this?

[BaptisteHudyma]

Hello, the planes are represented in Hessian form, so the normal is the orientation of the plane in camera space (with norm 1), and d is the distance to the origin. center is the centroid of the plane patch, and it's coordinates could be anything really.
The hessian form defines that normal * d = center` but it's not the case here...