How would I get the center coordinate of the computer monitor running the swing application?
You can get the center coordinate with java.awt.Toolkit
:
Dimension screenSize = Toolkit.getDefaultToolkit().getScreenSize();
int centerX = screenSize.width/2;
int centerY = screenSize.height/2;
However, you don't need it.
Just use:
yourFrame.setLocationRelativeTo(null);
And it will be automatically centered