Rotationally invariant correlation filtering for multiple images

Journal Article · Tue Jul 01 04:00:00 EDT 1986 · J. Opt. Soc. Am. A; (United States)

DOI:https://doi.org/10.1364/JOSAA.3.000902· OSTI ID:5518914

Schils, G F; Sweeney, D W

A method is presented for designing translation-invariant optical correlation filters that have a specified rotational response for each of several input images. The correlation filter is postulated to have the form of an infinite linear combination of the angular Fourier harmonics of the input images. The corresponding response of the optical system too rotations of the multiple input images is described by a vector-matrix convolution equation. The solution of this equation for the unknown correlation filter is presented in terms of Fourier series. Use of one term in the Fourier series gives the multiple circular-harmonic filter that provides a specified rotationally invariant response for each of the multiple input images. Applications to rotationally invariant discrimination are described, and examples are given.

• Research Organization: Sandia National Laboratories, Livermore, California 94550
• OSTI ID: 5518914
• Journal Information: J. Opt. Soc. Am. A; (United States), Journal Name: J. Opt. Soc. Am. A; (United States) Vol. 3:7; ISSN JOAOD
• Country of Publication: United States
• Language: English

Related Subjects

657005* -- Theoretical Physics-- Optics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CORRELATIONS
DESIGN
FILTERS
FOURIER ANALYSIS
FUNCTIONS
IMAGES
INVARIANCE PRINCIPLES
OPTICAL FILTERS
OPTICAL SYSTEMS
PERFORMANCE
REAL TIME SYSTEMS
RESPONSE FUNCTIONS
ROTATIONAL INVARIANCE