Equi-affine differential invariants for invariant feature point detection

Stanley L. Tuznik, Peter J. Olver, A. L.L.E.N. Tannenbaum

Research output: Contribution to journalArticlepeer-review


Image feature points are detected as pixels which locally maximise a detector function, two commonly used examples of which are the (Euclidean) image gradient and the Harris-Stephens corner detector. A major limitation of these feature detectors is that they are only Euclidean-invariant. In this work, we demonstrate the application of a 2D equi-affine-invariant image feature point detector based on differential invariants as derived through the equivariant method of moving frames. The fundamental equi-affine differential invariants for 3D image volumes are also computed.

Original languageEnglish (US)
JournalEuropean Journal of Applied Mathematics
StatePublished - Jan 1 2019


  • Differential invariant
  • equi-affine group
  • feature detection
  • moving fram


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