The derivative of Perlin Noise is possible to derive analytically, although doing it for any-dimensional noise could be very hard. If you can only realistically solve it for 2D and 3D, and let the rest fall back to finite differences, that will be acceptable.
We should complete #14 before this.
The derivative of Perlin Noise is possible to derive analytically, although doing it for any-dimensional noise could be very hard. If you can only realistically solve it for 2D and 3D, and let the rest fall back to finite differences, that will be acceptable.