Computer Vision MT25, Sampling and reconstruction


Flashcards

@Define sampling.


Recording the values of a function at a discrete set of locations.

@Define reconstruction.


Converting a sampled representation back into a continuous function by “guessing” what happens between the samples.

@Visualise why it’s important that you sample a signal with a sufficiently high frequency.


@Define aliasing.


The distortion of high-frequency content in a signal when it is sampled at an insufficient rate.

@State the Nyquist-Shannon sampling theorem.


When sampling a signal at discrete intervals, the sampling frequency must be at least twice the maximum frequency of the input signal to allow perfect reconstruction of the original signal.

@Describe two ways that you could prevent aliasing.


  • Sample more often
  • Remove all frequencies greater than half the sampling frequency, e.g. using smoothing or a low-pass filter



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