If I have a 3x3 grid and scale it to 9x9 how should I calculate the new coordinates of given points going from the 3x3 to 9x9.

See image for more info

e.g.

1. Point A coordinates: (2,1) in 3x3 grid. After scaling to 9x9 the coordinate should be (5,1).
2. Point B coordinates: (2,2) in 3x3 grid. After scaling to 9x9 the coordinate should be (5,5).

CodePudding user response：

As long as we know the maximum and minimum values, max and min respectively, of our current space then this is quite nice to do.

Say we have a point with x as its x-axial value and want to scale the coordinate to be between a new range of new_max and new_min, we can use

f(x)=(new_max-new_min)*((x-min)/(max-min)) new_min

which will return the point's x coordinate value scaled to your desired range.

Do this for all points, for both the x and y-axis and you're golden