Image Quality Assessment

Work in progress. This note is still being written and incomplete.

Image processing aims to reproduce a real-world scene at the same perceptual level as the original, not to judge artistic quality. Quality assessment measures how much an image has changed from its source state.

Sources of Change

Artefacts

Unwanted details from side-effects of capture, quantization and processing. Known ahead of time in most instances. Easy to estimate and quantify.

Noise

Unwanted details from internal or external sources, mostly from analog stages. Random in most instances, though it may follow a known probability model. Difficult to quantize and estimate.

Objective Assessment

Based on mathematical formulae comparing an image to a reference source. Independent of human judgment. May not align with artistic or perceptual judgment

mean squared error=1MNx=1My=1N(p(x,y)r(x,y))2\text{mean squared error} = \frac{1}{MN}\sum_{x=1}^{M}\sum_{y=1}^{N}(p(x,y) - r(x,y))^2

Here:

  • M,NM, N: image dimensions
  • p(x,y)p(x,y): pixel value in the processed image
  • r(x,y)r(x,y): pixel value in the source image

A higher MSE means more change between the images, but this isn’t necessarily aligned with subjective quality. A restoration process, for instance, deliberately changes pixel values to improve perceived quality.

Subjective Assessment

Based on human perception, expressed as a textual description of image quality.

  • Different observers may disagree. The same observer may disagree with themselves at different times.
  • Requires multiple assessments, from multiple subjects and images, to avoid bias
  • Needs a normalized rating scale

Goodness scale:

ValueDescription
5Excellent
4Good
3Fair
2Poor
1Unsatisfactory

Impairment scale:

ValueDescription
5Extremely objectionable
4Definitely objectionable
3Impairment, but not objectionable
2Just noticeable
1Not noticeable
Written by September 13, 2026 2 min read
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