Sign in to follow this  

plane

This topic is 3790 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.

If you intended to correct an error in the post then please contact us.

Recommended Posts

Quote:
Original post by ogl5
I was just wondering what the best way to represent an infinite plane is in
C++.
The two most common representations used are probably a vector (the plane normal) and a scalar (the [pseudo]distance to the plane from the origin along that normal), and the hyperplane equation ax+by+cz+d = 0. In the hyperplane equation, a, b, and c correspond to the components of the plane normal, and 'd' is the negative of the distance in the normal-distance representation.

The question of how best to represent a plane is more or less language-independent, by the way (that is, none of the above is specific to C++ or any other language).

Share this post


Link to post
Share on other sites
The implicit formula for a plane:

Ax+By+Cz+D = 0

All mathematical definitions of planes are infinite.

So all you need to store is the normal of the plane: <A, B, C> and the constant D.
You can solve for D by choosing a point that lies in the plane <x,y,z> and subbing it into the equation.

No matter what the language you only need 4 floats to represent an infinite plane.

Share this post


Link to post
Share on other sites

This topic is 3790 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.

If you intended to correct an error in the post then please contact us.

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now

Sign in to follow this