Interpolation, but with a constant speed for non-linear transitions

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#1

Hi,

This is something I want clarification on before the question:

Lets say an Object is travelling at 3 studs per second, and the destination is 6 studs away, I can just do the simple calulation of time to get the amount of seconds needed which is:
time = distance/speed
or in this case:
time = 6/3
I can then tell the code to Interpolate this number by adding deltaTime and then dividing deltaTime with time, however when adding, I want to apply a limit to the amount of time that can be added:
current = math.min(current + deltaTime, time)
transition = current/time
object.Position = p0:Lerp(p1, transition)

This should then give the result I wanted for a Linear Interpolation at a constant speed.

But how will I do this with more than 2 points, where instead of a linear path, its a path that curves a specific way, and if instead of having to calulate the transition to 2 points, I would have to do multiple.

Note: I’m trying to apply these Changes with AlignPosition and AlignOrientation which may be an issue.

I might be overthinking this a bit, so sorry if im just wasting your time.

#2

You want to traverse a curve at a constant speed?
What is the equation of your curve?

There is a Roblox article on traversing a bézier curve at constant speed. That might help.

#3

I’m trying to have it work no matter how many points there are, but for simplistic reasons, just a quadratic.

I would prefer if you provided that.