Question Question on Jitter at High Speeds With Damping

Hey all, so I've had trouble with the camera jittering when following objects at high speeds for a while and I had decided to spend some time digging into how damping works. Now I consider myself an amateur at all this, but is it possible that the damping equations just aren't accounting for the velocity of the target position? I've written my own extension that substitutes the default framing transposer with my own that has a damping solution which accounts for the target velocity (by just storing its position from the previous frame), and... it works. Much smoother damping no matter how fast I'm going.
I found a forum thread discussing damping somewhere (wish I had it bookmarked) and got this method from it, which is what I used:

Code (CSharp):

1. Vector3 DynamicLerp(Vector3 a, Vector3 b0, Vector3 b1, float damp)
2.     {
3.         float dt = damp / Time.deltaTime;
4.         Vector3 f = a - b0 + (b1 - b0) * dt;
5.         return b1 - (b1 - b0) * dt + f * Mathf.Exp(-1/dt);
6.     }

I think it's definitely true that a damping solution that treats the target position as not moving will result in jittering when the target is moving at high speeds. And if I'm wrong and accounting for target velocity is how it's implemented, then I guess this thread is news that it works when written as an extension?

 

Yes I can. In it the ball is flying to the right at speeds typical for my game. I've got two virtual cameras, one with the regular framing composer and another that has my extension doing it- you should see a big difference in their jittering. I also have an enum on the extension that lets you switch between the static and relative damping.
The ball also teleports back to 0,0 when it goes over 5000 units to avoid jitter from floating point stuff.

 

It might be because the extension defaults to the static damping option, whoops on my part... if you set this it should be smooth.

 

Here is a demonstration video as well