All colour tools are written with mathematical code. (Lossy) LUTs are not involved in any of the tools.
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ACES IDT for DJI DLog-M D-Gamut for DJI Mavic 2 Pro. For LogC based workflows check out DJItransformHDR
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ACES IDT for DJI DCinelike for DJI Mavic Pro (1), Mavic Air (1+2) and some Phantoms. For LogC based workflows check out DJItransformHDR