Four common decision rules for supervised classification?

likely classification

The four ways the computer assigns a pixel to a class, ranked by sophistication:

  • 📦 Parallelepiped
    • How: box-shaped regions defined by each class’s min/max in every band
    • Pro: simple, fast first pass
    • Con: leaves gaps + has corner overlap problems
  • 📏 Minimum Distance
    • How: assign to whichever class mean is closest (Euclidean)
    • Pro: no unclassified pixels, very fast
    • Con: ignores class shape, force-fits outliers
  • 📐 Mahalanobis Distance
    • How: Min Distance scaled by each class’s covariance
    • Pro: accounts for class shape (ellipsoidal)
    • Con: still assumes equal priors
  • 🎯 Maximum Likelihood
    • How: pick the most probable class, assuming Gaussian distributions
    • Pro: most accurate when classes are well-sampled
    • Con: needs lots of training data, fails on non-Gaussian classes