Art’s hidden topology: A window into human perception
Fig 4
Demonstration of the duality of black-to-white (BW) (first row) and white-to-black filtrations (WB) (second row).
The image from which the cubical complexes are derived is to the left of the rows in the middle. Components (and corresponding connections) that comprise a cubical complex at a particular step of the filtration, f (or ), are coloured in black, whereas the pink components are not included in the filtration. Pink components also belong to the dual cubical complex coming from the reverse filtration at step
, where M + 1 is the total number of filtration steps in [0,M].