AÍSTHĒSIS · the perceiving brain · sensation made meaning · kept by THE PERCEIVER

LATERAL INHIBITION ◧ 2D · ◍ 3D · ◆ 4D · ◐ shadow · 👶 TAP

Your eye sharpens edges before your brain even sees them. Each cell suppresses its neighbours, so at the border between light and dark the bright side looks brighter and the dark side darker — ghostly stripes (Mach bands) that aren’t in the light at all, only in the seeing. Slide the inhibition and watch the edge pop.

◆ LIT▲ AMBER
◧ THE MEASURE · 2D
◍ THE MACH BANDS · 3D · edges the eye invents
◆ THE FOURTH · 4D · a tesseract turns
◐ THE SHADOW · one dimension down
👶 THE TODDLER CORNER — one fat tap
inhibition k
dark band
bright band
edge enhanced

◆ LIT — exact / checkable

Each receptor’s output is its own input minus a fraction k of its neighbours’ (a center-surround, on-center off-surround field). On a flat region the neighbours cancel and nothing changes; but at a step edge the cell just on the DARK side loses more (it borders bright) and dips below the plateau, while the cell on the BRIGHT side borders dark and overshoots — the Mach bands. A fail-loud self-check throws unless, at a light/dark step, the output shows a local dark undershoot on the dark side and a bright overshoot on the light side — contrast the retina manufactures.

▲ AMBER — the figure

A 1-D difference-of-neighbours model; real retinae use graded difference-of-Gaussians receptive fields with light adaptation (Hartline’s Limulus work, 1967 Nobel). The edge over/undershoot is exact for this kernel; Mach bands are a real perceptual illusion, shown here as the signal that causes them.

AÍSTHĒSIS: the brain never touches the world — it builds it from spikes.  — THE PERCEIVER
David Lee Wise / ROOT0 / TriPod LLC  ·  the perceiving brain, with AVAN