Problems

  • Dark current - without calibration, the zero point of the image isn’t correct
  • Pixels are captured by different photodiodes they don’t have the same properties
  • Vignetting effect
  • Dust particles

Definitions

Input image - A(t, T, g)

  • t - exposure time
  • T - chip temperature
  • g - gain (not relevant for CCD)

Dark Frame - D(t, T, g) Flat-field image - F(t, T, g) Calibrated image -

  • Upper part of the fraction - deletes the |dark current and bias influence
  • Lower part - takes care of Vignetting effect, non-same sensitivity and dust particles
  • k - constant based on image bit resolution
  • f - offset

Calibration by itself causes the noise level to go up. For that reason you use Master Dark Frame and Master Flat-fields. Both are created by combining multiple Dark Frames or Flat-fields. How to create them:

Mean - for one image, for n images it is

Creates impulse noise - bad pixels on random positions, mainly caused by cosmic radiation. The number of bad pixels increases with altitude.