[mzcyknhj] Very high bit depth images

Consider an image with pixels of very high bit width, not merely 24 bpp but hundreds or thousands or more bits per pixel.  Steganography is the obvious application, but can we do something more interesting, more elegant?  Something that treats each pixel as a high precision scalar value, not just bits. Something that actually represents an image.

In one dimension, perhaps something involving Chebyshev polynomials or the Fourier transform.

Perhaps something involving fractals like the Mandelbrot set in which the high bit depth captures something otherwise invisible.