How I can offset dot on bezier by set amount?

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#1

Hello guys. I’m making game, where I need to utilize bezier curves. And, at some point, I came to point where I need offset orbs from ship’s back part by 2 studs. How I can do that?

Ship fly formula:

local CurDot = CreateCurve(ShipPoints, "Dot", CurTime / AnimTime)
local ShipCFrame = CFrame.new(CurDot.X, CurDot.Y, CurDot.Z)
if PrevDot then
	ShipCFrame = lookAt2(PrevDot, CurDot) * CFrame.Angles(-math.pi/2, math.pi / 2, 0)
end
Spaceship:PivotTo(ShipCFrame)

Create curve / bezier:

local function CreateCurve(Dots, Mode, Value)
		if Mode == "Length" then
			local BezierCurve = {}
			for i = 0, 100, 1 do
				local Lerps = table.clone(Dots)
				while #Lerps > 1 do
					for a = 1, #Lerps-1, 1 do
						Lerps[a] = Vector3.new(Lerps[a].X * (1 - i/100) + Lerps[a+1].X * i/100, 0, Lerps[a].Z * (1 - i/100) + Lerps[a+1].Z * i/100)
					end
					Lerps[#Lerps] = nil
				end
				table.insert(BezierCurve, Lerps[1])
			end
			local BezierLength = 0
			for i = 1, #BezierCurve - 1, 1 do
				BezierLength += (BezierCurve[i + 1] - BezierCurve[i]).Magnitude
			end
			return BezierLength
		elseif Mode == "Dot" then
			local BezierCurve = {}
			local Lerps = table.clone(Dots)
			while #Lerps > 1 do
				for a = 1, #Lerps-1, 1 do
					Lerps[a] = Vector3.new(Lerps[a].X * (1 - Value) + Lerps[a+1].X * Value, 0, Lerps[a].Z * (1 - Value) + Lerps[a+1].Z * Value)
				end
				Lerps[#Lerps] = nil
			end
			return Lerps[1]
		end
	end

So, ship is flying on bezier, counting each position independently on others.

#2

Help still wanted.