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Colour Perception

Colour Perception

https://en.wikipedia.org/wiki/Color_vision

Physiology

  • Light sensitivity
  • Rod and Cone Cells
    • Cone Cells
      • Are three types - Short (S), Medium (M), Long (L)
      • Gives colour vision
      • Most are sensitive to 555 nm (Green)
    • Rod Cells
      • Gives low-light vision at 500 nm

Mathematics

  • Physical color is a combination of pure spectral colours (in the visible range)
  • Hilbert Space \(H_{colour}\) (Infinite Dimensional Vector Space) holds all colours
  • Euclidian Spaces
  • Each element \(C\) of \(H_{colour}\) is a function that gives an interval of all the colours \([W_{min}, W_{max}]\) to real numbers \(w\)
  • So human percievable colours can be modelled by 3 numbers, to the extend to which each cone cell - S,M,L is stimulated by a wavelength \(w\) as \(s(w)\), \(m(w)\) and \(l(w)\).
  • This can be thought of as points in a 3-dimensional Euclidian Space, and we call this the \({R^3}_{colour}\)
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