What's the difference between a half-space test and a half-plane test? I'm a little confused on how this process works.
meranara
I am also confused about the half-plane and half-space stuff. Could this be re-explained?
Max
The half-space test is just an extension of the half-plane test to 3D.
In 2D ax+by=c defines a line, so taking ax+by<=c gives us half the 2D plane. Similarly, in 3D ax+by+cz=d defines a plane, so taking ax+by+cz<=d gives us half of 3D space.
What's the difference between a half-space test and a half-plane test? I'm a little confused on how this process works.
I am also confused about the half-plane and half-space stuff. Could this be re-explained?
The half-space test is just an extension of the half-plane test to 3D.
In 2D ax+by=c defines a line, so taking ax+by<=c gives us half the 2D plane. Similarly, in 3D ax+by+cz=d defines a plane, so taking ax+by+cz<=d gives us half of 3D space.