A rotation-invariant correlation filter to minimize correlation plane energy and produce a sharp and easily detected peak is addressed. The filter uses symmetry requirements to achieve rotation invariance and hence is generalized. Full mathematical detail of the filter synthesis and initial test results are presented. Drawbacks of the existing circular harmonic function (CHF) and other rotation-invariant filters are noted and used as motivation for these new filters.
David P. Casasent,
"Generalized in-plane rotation-invariant minimum average correlation energy filter," Optical Engineering 30(10), (1 October 1991). https://doi.org/10.1117/12.55953