Visual Plane
every picture states the point it is correct from
Series

Tiling — the series

2 essays on one idea, from the one that introduces it to the one that assumes the rest.
  1. worst 1e-13 px outcorrect from 17 cm, at 160 mm wide3 × 3 tiles

    A tile is an off-centre frustum

    Rendering a picture in tiles is exact, and the way to do it is one line of arithmetic: a tile's sides are the whole frustum's sides read at the tile's own pixel bounds. Aiming the camera at each tile instead is defensible at every step and is a different picture, out by about a tenth of a tile whatever the tile size.

    part 3 · pipeline
  2. the seat3 chords against the arccurved monitor, 3 flat pieces6.80 mm of sag · 5.50 px at the seat

    A curved screen is eight flat ones

    A projection matrix is a plane and nothing else, so a curved display cannot be rendered — it has to be driven as several planes and assembled. The gap between chord and arc is the whole error, it goes as the square of the angle each piece spans, and the piece count therefore goes as the inverse root of the tolerance — three for eight pixels, eight for one, fifteen for a quarter.

    part 4 · pipeline

All series