Question

I have a pretty simple grid in variables in my program.

The actual grid goes from 0 to 1 on each axis.

What I’d like is to essentially translate the origin to where -1,-1 is in my current setup. How can I change these axes mathematically to get rid of all negative numbers, have my origin at the bottom left, and have x and y range from 0 to 1?

Answer 1

For each axis, add one and multiply by two. So,

x' = (x + 1)/2
y' = (y + 1)/2

• (0, 0) becomes (0.5, 0.5)
• (1, 1) stays (1, 1)
• (-1, -1) becomes (0, 0)