artween.com

Middle Grey — what a rendered image is actually doing

Entry 01 · Light Transport

Noise is a budget

A render is noisy because it is estimating an integral with a finite number of rays. Every halving of the noise costs four times the samples, which is why the last few per cent of cleanliness costs more than the whole image before it.

Error falls with
√N
Halve the noise
4× the rays
Entries
24
Sections
5
Plate 011600 × 1000
A chrome ball and a grey ball on a stand with a colour checker
The balls sit where the object will be, not where the camera is.

The register

Twenty-four entries. Each one starts from something you could put on a table.

  • №EntrySectionWhat it settles
  • 06The square root problemSamplingError falls with the square root of the sample count
  • 11The two ballsReference ObjectsChrome records the sources; grey records what they do
  • 20Taking a frame apartPassesWhat each pass holds, and what recombining lets you change
  • 16The neutral patchColourWhite balance comes off the greys, not the colours
  • 03Why interiors are expensiveLight TransportOne window, and the paths that never find it
  • 09DenoisingSamplingAuxiliary buffers stand in for samples not rendered
  • 24CryptomattePassesSelecting an object after the render rather than before it
  • 15HDRIReference ObjectsBracketing so the bright parts are still numbers
    • 01Noise is a budgetLight TransportA render is noisy because it is estimating an integral with a finite number of rays. Every halving of the noise costs four times the samples, which is why the last few per cent of cleanliness costs more than the whole image before it.
    • 02One bounce, two bouncesLight TransportWhat each additional bounce adds, and where the returns stop.
    • 04CausticsLight TransportThe hardest paths to find, and why they are usually faked.
    • 05ImportanceLight TransportSending rays where the light actually is rather than uniformly. The single biggest win available.
    • 07FireflySamplingOne absurdly bright sample in a dark region, and the clamp that hides it.
    • 08StratificationSamplingSpreading samples evenly instead of randomly, and the noise pattern it produces.
    • 10Adaptive samplingSamplingSpending the budget where the variance is.
    • 12The chrome ballReference ObjectsA 360-degree record of the stage in one photograph, distortion and all.
    • 13The grey ballReference ObjectsDirection, softness and colour of the key, read off a single object.
    • 14Shooting the referenceReference ObjectsSame position, same exposure, before the set changes.
    • 17What a chart cannot tell youColourMetamerism, and two surfaces that match under one light and not another.
    • 18Linear and displayColourWhere the maths happens versus where you look at it.
    • 19White balance is a choiceColourNeutral is a decision about which light source you are calling white.
    • 21Beauty is the sumPassesThe assembled frame, and the check that the parts add back to it.
    • 22The alpha problemPassesPremultiplied or not, and the halo that tells you which.
    • 23Depth and motionPassesTwo passes that are data rather than picture.

The full register lists all twenty-four by section.

On the reference table

Five objects, and what each one records before anything on the set moves.

SpecimenObjectWhat it recordsRead from it
A chrome sphere filling the frame, the stage legible in the reflection

Chrome sphere

The whole stage returned as one reflection, including sources outside the shot

Source position, size, colour, height

A neutral grey card held against a plain background

Grey sphere, 18%

How the same light falls across a plain diffuse surface with nothing of its own

Key-to-fill ratio, direction, falloff

A colour checker chart propped on a grey surface

Colour checker

Patches of known reflectance photographed under light you do not yet know

White balance, exposure, transform check

A clapper board face down beside a steel tape measure

Tape and slate

The distance from the mark to the film plane, written down while it is still true

Scale, camera height, roll and take

A studio light head with a black flag cutting the beam

Head and flag

What is lighting the mark and what has been cut off it

Source shape, spill, the edge of the beam

Five sections

Every entry starts from something physical you could put on a table — a chrome ball, a grey card, a colour checker — and works outward to what the renderer does with it.

01 Light Transport

Where the light goes, and how many bounces you pay for.

03 Reference Objects

The spheres and charts that tie a render to a set.

05 Passes

The frame taken apart and put back together.

Full Register

Every entry in one list, by section, with what each one settles.

A contact sheet of one set-up lit several ways, laid on the floor
PassesSeparated, each pass looks like a mistake. Added back in the right order they are indistinguishable from the frame the renderer would have handed over anyway. Read the passes section

What another four times the rays buys

Error falls with the square root of the sample count. The exponent is not a setting.

16 sppnoise 1.00
64 sppnoise 0.50
256 sppnoise 0.25
1024 sppnoise 0.125

Sixty-four times the rays for an eight-fold improvement — the arithmetic behind the square root problem and noise is a budget.