How to prevent corner slipping with a shortest axis collision solver

Question

Currently I use AABB's to represent objects in my game engine, I resolve collisions between them by finding the shallowest axis, but this leads to a problem if an object is approaching another in a way that their corners would collide at a fast velocity, they will slip past each other and resolve on the wrong axis because one penetrated too deeply, for example:

We can see that the red square is approaching the green rectangle. They intersect and the solver sees that the smallest intersection is on the Y axis

Thus they sepparate on the Y axis, and the red square flies by the green rectangle, when it should have stopped on the left edge

I'm currently at a loss on how to solve this, any sugestions or fixes would be greatly appreciated!

Answer 1

I think you want to take the velocity direction into account when considering how to move the red box back. I'm thinking you want to move back along the velocity vector when you detect an intersection.

It seems you have the the x and y intersection depths, so just work out the magnitude of the 2D vector formed by those values and move the red box position by negative magnitude. Something like

inters_vec = (xintersect,yintersect)
velocity_dir = norm(velocity)
new_pos = red_pos - vel_dir*mag(inter_vec)