Series

Diminution — the series

3 essays on one idea, from the one that introduces it to the one that assumes the rest.
  1. 0100200204060distance of the object, metresits drawn height, pxa pinholean oblique systemdrawn height of a fixed object against its distance20.0× against 1.000

    A picture with no size–distance signal

    In a system with no diminution the drawn size of an object falls at exactly zero pixels per metre, so nothing in the picture says how far away anything is. Depth has to be carried by something else, and what carries it is height on the page — linearly, and without a horizon.

    part 1 · conventions
  2. correct from 15 cm, at 160 mm widefive figures · 100% rank

    Size that means rank

    In a great many pictures the drawn height records importance rather than distance. That is a decision rather than a mistake, and it can be caught with a straightedge by carrying one figure's height across the room by the taught construction and see where it lands. A tenth of rank in the picture already misses the drawn head by 21 px, the miss is exactly linear in how much rank is there, and the whole test needs two references and no arithmetic.

    part 2 · conventions
  3. horizoncorrect from 16 cm, at 160 mm wideeye at 1.20 m · 57% in the last tenth

    Higher on the page, and where that stops being true

    A pinhole's image height above the horizon falls monotonically with depth over the whole 2–400 m range sampled here, and 57% of that whole range lands in the ground's last drawn tenth — the accumulation the oldest depth convention is quietly built from. Above eye level the ordering inverts, and at eye level exactly, five different depths draw one height, a spread of 0.0e+0 px.

    part 3 · conventions

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