2026-10-02

photography

fundamental model

light source

  • pose

    • position
    • orientation
  • support geometry

    • size
    • shape
  • magnitude: total source strength
  • spatial profile: emission distribution across the source surface
  • angular profile: emission distribution by direction
  • spectrum: wavelength distribution; approximately temperature + tint when sufficient

lighting system

  • source count: number of independently controlled sources
  • layering: superposition and spatial arrangement of source contributions

scene

  • geometry: surfaces, orientation, distances, occlusion, visibility
  • material transport

    • diffuse reflection

    • specular reflection

    • transmission

    • subsurface transport

camera

  • viewpoint and projection
  • focus / depth response
  • exposure integration
  • spectral response
  • spatial transfer

    • diffraction
    • diffusion
    • bloom
    • halation
    • flare
  • recording / tone response

conditional

  • temporal profile: flash duration, flicker, synchronization
  • polarization: when source, material, or camera is polarization-sensitive

derived lighting properties

  • apparent extent: angular size and shape of the emitting field as seen from the subject
  • incidence angle: source direction relative to a surface
  • softness: shadow-transition character produced mainly by apparent extent and geometry
  • coverage: illuminated region produced by pose, angular profile, and scene geometry
  • feathering: placement of the target within a nonuniform angular profile
  • spatial falloff: change in illumination across space
  • exposure contribution: result of source magnitude, geometry, distribution, spectrum, and receiving surface
  • rim / outline: source-scene-camera configuration producing visible edge illumination
  • glow: appearance produced by transmission, scattering, broad highlights, diffusion, bloom, halation, flare, or local contrast

principal relations

  • source distance changes apparent extent, exposure, and spatial exposure gradients
  • source orientation changes illumination without changing source position
  • physical source size != apparent source extent
  • source magnitude != received exposure
  • same exposure != same lighting
  • support geometry != spatial profile
  • apparent extent != angular profile
  • softness is derived, not a source property
  • layering is a relation among sources, not a light property
  • scene material can radically change the photographed result without changing the source
  • camera spatial transfer can create glow-like structure absent from the scene illumination

inverse-square behavior

  • irradiance approaches 1 / distance² for a sufficiently small source in free space
  • extended nearby sources require geometric treatment rather than simple point-source approximation

optics and capture

focal length

  • controls projection scale and angle of view for a given sensor format
  • does not by itself determine perspective; viewpoint does
  • longer focal length + greater camera distance can produce narrower framing with compressed apparent depth relations

focus

  • correct focus maps a scene depth sharply onto the image plane
  • defocus produces blur circles whose size depends on aperture, focus distance, subject distance, focal length, and sensor geometry

aperture

  • controls admitted light and contributes to depth of field, diffraction, and blur geometry

viewpoint

  • determines perspective and relative geometric projection
  • lens choice determines how much of that projected field is recorded

lighting practice

natural light

  • sunlight: very distant, small apparent angular source, strongly directional unless modified by atmosphere or environment
  • window light: extended source whose apparent extent depends strongly on subject distance and window geometry
  • environment can add reflected and transmitted contributions while one source remains dominant
  • spectrum varies with time, weather, surroundings, and transmitted/reflected surfaces

studio light

  • begin with one motivated dominant source
  • control independently:

    • pose
    • apparent extent
    • magnitude
    • angular profile
    • spectrum
  • add sources only when an additional independently controlled contribution is required
  • avoid accidental conflicts in direction, spectrum, shadow structure, or visual motivation

background

  • control independently from the subject when necessary
  • gradients arise from source pose, distribution, distance, and background geometry
  • black backgrounds emphasize separation, edge structure, and local contrast
  • white backgrounds require sufficient illumination and spill control to remain clean
  • seamless surfaces and regular edges reduce unintended geometric structure

reference practice

  • study photography, film stills, paintings, and CGI by reconstructing:

    • source count
    • source pose
    • apparent extent
    • angular profile
    • relative magnitude
    • spectrum
    • material response
    • camera response