Waves are moving too fast compared to character walkspeed

[Textible (Text)]

Hello,
I made a wave system, but when I try to move around, the waves are offset too fast compared to my position. I tried dividing the players position but I want it to be as accurate as possible, so I can’t just divide it by some random number.

Video:

Code:

if not game.Players.LocalPlayer.Character then
	game.Players.LocalPlayer.CharacterAdded:Wait()
end

local AssetService = game:GetService("AssetService")
local RunService = game:GetService("RunService")
local TweenService = game:GetService("TweenService")

local Object = script.Parent
local EditableMesh = Instance.new("EditableMesh")
EditableMesh.Parent = Object

local Player = game.Players.LocalPlayer

local Character = Player.Character
local CharacterPos = Character.HumanoidRootPart
Player.CharacterAdded:Connect(function(New)
	Character = New
	CharacterPos = Character.HumanoidRootPart
end)

local tweenInfo = TweenInfo.new(0.1, Enum.EasingStyle.Linear, Enum.EasingDirection.Out)

local Width = 100
local Height = 100

local Offset = 10
local WaveSize = .025
local WaveHeight = 10

local Vertices = {}

for y = 1, Height do
	local raw = {}
	for x = 1, Width do
		local vertexPosition = Vector3.new(x - 1, 0, y - 1) * Offset
		local vertexId = EditableMesh:AddVertex(vertexPosition)
		
		raw[x] = {vertexId, vertexPosition}
	end
	Vertices[y] = raw
end

for y = 1, Height-1 do
	for x = 1, Width-1 do
		local vertex1 = Vertices[y][x][1] :: number
		local vertex2 = Vertices[y+1][x][1] :: number
		local vertex3 = Vertices[y][x+1][1] :: number
		local vertex4 = Vertices[y+1][x+1][1] :: number
		
		local triangle1 = EditableMesh:AddTriangle(vertex1, vertex2, vertex3)
		local triangle2  = EditableMesh:AddTriangle(vertex2, vertex4, vertex3)
	end
end

while true do
	local currentTime = os.clock() / 10
	for y = 1, Height do
		for x = 1, Width do
			local vertexId = Vertices[y][x][1] :: number
			local vertexPosition = Vertices[y][x][2] :: Vector3
			
			local newPosition = vertexPosition + Vector3.new(0,WaveHeight,0) * math.noise(
				vertexPosition.X * WaveSize + currentTime + CharacterPos.Position.X, 
				vertexPosition.Y * WaveSize + currentTime, 
				vertexPosition.Z * WaveSize + currentTime + CharacterPos.Position.Z
			)
			
			EditableMesh:SetPosition(vertexId, newPosition)
		end
	end
	Object.Position = Vector3.new(CharacterPos.Position.X - (Offset * Width / 2), Object.Position.Y, CharacterPos.Position.Z - (Offset * Height / 2))
	task.wait()
end

Any help or suggestions will be thanked!

[Locard]

What happens when you remove the character’s position values from within the noise generation? Shouldn’t your time value and vertex position be sufficient enough?

[Textible (Text)]

The vertices on a meshpart use local positions, I found it would work if I used global positions by converting them instead of trying to use character position

Code:

            local vertexGlobalPos = Object.CFrame:PointToWorldSpace(vertexPosition * Object.Size / Object.MeshSize)
			local newPosition = vertexPosition + Vector3.new(0,WaveHeight,0) * math.noise(
				vertexGlobalPos.X * WaveSize + currentTime, 
				vertexGlobalPos.Y * WaveSize + currentTime, 
				vertexGlobalPos.Z * WaveSize + currentTime
			)