Modeling Camera Tilt with an equation

[Rostrum]

Upon player landing, I’m trying to achieve a camera “bounce” effect by tilting the camera modeled by the following equation:

The system functions, but not exactly as intended. At the end of the bounce, my intent is to have the camera axis pointed exactly in the direction it began in because the f(t) = 0 at t=0.65 (end of the function). However, in testing, you will notice the final vertical angle of the camera lands at ~ -4.3.

My suspicion is that this line needs to be changed

cam.CFrame *= CFrame.Angles(tiltAngle, 0, 0)

I imagine multiplying by the camera’s current CFrame each Renderstep is causing an unwanted multiplicative effect that distorts the function. I have tried storing the original CFrame, but to no avail, as my changes resulted in absolute camera positioning that was not independent of user mouse movement like it currently is. Any help reworking the CFrame manipulation would be appreciated.

Code:

local Players = game:GetService("Players")
local RunService = game:GetService("RunService")

local cam = workspace.CurrentCamera or workspace:WaitForChild("Camera")
local player = Players.LocalPlayer
local character = player.Character or player.CharacterAdded:Wait()
local humanoid = character.Humanoid or character:WaitForChild("Humanoid")

local duration = 0.65
local bounces = 3
local amplitude = 1.5
local compression = bounces / duration
local E = math.exp(1)

local function f(t) -- the function shown in desmos
	if t >= duration then return 0 end
	if t <= 0 then return 0 end
	
	local exponent = compression * t + 0.5
	return amplitude * math.pow(E, -exponent) * math.cos(math.pi * (compression * t + 0.5))
end

local isLanded = false
local t = 0

local function onHumanoidStateChanged(_oldState, newState)
	if newState == Enum.HumanoidStateType.Landed then
		isLanded = true
		t = 0
	end
end

RunService.RenderStepped:Connect(function(dt)
	if isLanded then
		t += dt
		if t <= duration then
			local tiltAngle = math.rad(f(t))
			cam.CFrame *= CFrame.Angles(tiltAngle, 0, 0)
		else
			isLanded = false
		end
	end
end)

humanoid.StateChanged:Connect(onHumanoidStateChanged)

[dthecoolest]

@Rostrum

My suspicion is that this line needs to be changed

Yep perhaps its this. Try using this offset trick and using the offset variable provided.

How would I offset the camera with rotation?

Alright so here is a quick prototype that works local oldOffset = CFrame.new() -- Don't edit this! local offset = CFrame.new() -- (Optional): Will accumulate the time in seconds since the script started local t = 0 game:GetService("RunService").RenderStepped:Connect(function(delta) -- (Optional): Accumulate the time in seconds t += delta -- Cancel out the offset we applied in the previous frame cam.CFrame *= oldOffset:Inverse() -- Apply the new offset cam.CFrame *= offset -- Store the …

[Rostrum]

This worked perfectly! Thank you.