RazorArt

The register

Everything on this site, in one table

Every entry is one problem the grid created and somebody solved. 21 entries across 5 sections, with the problem each one answered.

Raster

The grid, and living with it.

EntryWhat it coversLength
The framebufferA block of memory where every pixel has an address is what made painting on a screen possible at all.Long read
Bresenham's lineA straight line rarely agrees with the grid, so an algorithm has to decide which pixels it lands on using only integers.Long read
Anti-aliasingA hard edge on a grid produces a stair, and softening the boundary trades one artefact for a less objectionable one.Medium
SuperPaintRichard Shoup's system at Xerox PARC was the first that let a person paint into a framebuffer and see it immediately.Long read
SamplingEverything on a grid is a measurement taken at intervals, and what falls between the intervals is gone.Short

Drawing

Making marks interactively.

EntryWhat it coversLength
SketchpadIvan Sutherland's 1963 system let someone draw on a screen with a light pen, and the drawing was made of objects rather than marks.Long read
ConstraintsTelling the drawing that two lines must stay perpendicular is a different idea from drawing them perpendicular, and it is the older ancestor of modern tools.Medium
The light penIt does not draw; it detects when the screen's beam passes under it, which is why it only worked on the displays of its day.Medium
Vector displaysSome screens drew lines directly rather than filling a grid, and they were sharp in a way rasters took years to match.Short

Curves

Smooth shapes from a handful of numbers.

EntryWhat it coversLength
BézierPierre Bézier published the curve for car bodywork, and it survives because four points describe a smooth path that is easy to compute and easy to drag.Long read
de CasteljauThe algorithm that evaluates the curve by repeated straight-line subdivision, worked out at a rival firm and unpublished for years.Medium
The control polygonThe handles are not on the curve; they pull it, which is why the interface feels the way it does.Medium
SplinesThe name comes from the flexible strip a draughtsman bent through fixed points, and the mathematics describes the same behaviour.Short

Colour

Measuring something the eye does.

EntryWhat it coversLength
RGB and CMYKOne adds light and the other subtracts it, and neither can describe the whole of what the other can.Long read
GamutThe set of colours a device can actually produce is a shape, and converting between devices means deciding what to do with everything outside it.Medium
CIE 1931A model of what the eye responds to, built from experiments on a small number of observers, that still underpins every colour system in use.Long read
Test chartsA known reference in the frame is the only way to find out what a device is actually doing to colour.Short

Instruments

What the hand actually holds.

EntryWhat it coversLength
The RAND TabletAn early digitising tablet that let a stylus position be read directly, years before anything like it was affordable.Long read
Stylus pressureReading how hard the pen is pressed turns a position into a gesture, and it is what made digital drawing feel like drawing.Medium
The mouseA relative pointing device is bad at drawing and good at everything else, which is why both survived.Medium
ScreensThe display is a measuring instrument you are also looking at, and it drifts.Short