calculating distance between a point and a rectangular box (nearest point)

Question

is there a easy formula to calculate this? i\'ve been working on some math but i can only find a way to calculate the distance directed to the center of the box, not direct

Answer 1

For AABBs:

Maybe not the best performing, but certainly the simplest method:

p = your point

c = centre of the cube

s = half size of the cube

r = the point we are looking for

v = p - c;
m = max_abs(v);
r = c + ( v / m * s );