The illustration were “painted” automatically using the Hamiltonian flow x’ = J nabla H(x), where H is a red green or blue function interpreted as an energy. The paths follow the level curves. The “pens” started at points with the corresponding color had large curvature or gradient. Absolutely no after processing has been done. The flow paints the relevant lines automatically.
Original picture:

Source: omnivis: omni-directional vision, Harvard Mathematics Department

The illustration were “painted” automatically using the Hamiltonian flow x’ = J nabla H(x), where H is a red green or blue function interpreted as an energy. The paths follow the level curves. The “pens” started at points with the corresponding color had large curvature or gradient. Absolutely no after processing has been done. The flow paints the relevant lines automatically.

Original picture:

Source: omnivis: omni-directional visionHarvard Mathematics Department