Bezier Curve Projectile Travel Speed

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#1

So i basically am using bezier curves for my projectile, and i want it to travel at the same speed, Currently if i aim it close by it travels slow and if i aim it far it goes fast, how would i make it travel at the same speed no matter what the distance is between StartPosition and EndPosition.

function Quadratic(p1,p2,p3,i)
  p1,p2,p3 = p1,p2,p3
 return Lerp(Lerp(p1,p2,i),Lerp(p2,p3,i),i)
end

for i = 0, 1, 0.025 do
  local TargetPosition = Quadratic(Clone.Position,Clone.Position + Vector3.new(0,15,0),MouseCF.Position + Vector3.new(0,0,8),i)
  Projectile.Position = TargetPosition
  RunService.Stepped:Wait()
end
Set speed for bezier curve?
#2

You can divide the speed by the magnitude of the two positions

#3

You can also approximate the length of the bezier and divide the speed by that, instead.

Note that the speed along a bezier isn’t constant in general. You’d need to approximate that as well. Google “bezier curve constant movement speed”, there are a few posts online about options if that’s what you need.

Edit: actually just read this article

1 Like
#4

This doesn’t work?

function Quadratic(p1,p2,p3,i)
p1,p2,p3 = p1,p2,p3
return Lerp(Lerp(p1,p2,i),Lerp(p2,p3,i),i)
end

local Distance = (MouseCF.Position - Projectile.Position).Magnitude

for i = 0, 1, 0.025 do
local Time = i/Distance
local TargetPosition = Quadratic(Projectile.Position,Projectile.Position + Vector3.new(0,15,0),MouseCF.Position,Time)
Projectile.Position = TargetPosition
RunService.Stepped:Wait()
end

#5

I’ve read about it and i don’t seem to understand " Arc-length parameterization", Could you maybe explain it in a more simple way?

or show me how i could add that to what i’ve got right now.

#6

That article has many good code snippets so I won’t write more, but arc-length paramaterization is just “guessing the length of the curve”. But it’s a good guess.

#7

Actually this kinda works but now it’s so when i aim close by it goes fast and when i aim far away it goes super slow