Rotationally invariant correlation filtering
Journal Article
·
· J. Opt. Soc. Am. A; (United States)
A method is presented for analyzing and designing optical correlation filters that have tailored rotational invariance properties. The concept of a correlation of an image with a rotation of itself is introduced. A unified theory of rotation-invariant filtering is then formulated. The unified approach describes matched filters (with no rotation invariance) and circular-harmonic filters (with full rotation invariance) as special cases. The continuum of intermediate cases is described in terms of a cyclic convolution operation over angle. The angular filtering approach allows an exact choice for the continuous trade-off between loss of the correlation energy (or specificity regarding the image) and the amount of rotational invariance desired.
- Research Organization:
- Sandia National Laboratories, Livermore, California 94550
- OSTI ID:
- 5364699
- Journal Information:
- J. Opt. Soc. Am. A; (United States), Journal Name: J. Opt. Soc. Am. A; (United States) Vol. 2:9; ISSN JOAOD
- Country of Publication:
- United States
- Language:
- English
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