Correlation filters with controlled scale response

Ryan A. Kerekes; B. V.K. Vijaya Kumar

doi:10.1109/TIP.2006.873468

Correlation filters with controlled scale response

Ryan A. Kerekes, B. V.K. Vijaya Kumar

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

Correlation filtering methods are becoming increasingly popular for image recognition and location. The recent introduction of optimal tradeoff circular harmonic function filters allowed the user to specify the response of a correlation filter to in-plane rotation distortion. In this paper we introduce a new correlation filter design that can provide a user-specified response to in-plane scale distortion. The design is based on the Mellin radial harmonic (MRH) transform and incorporates multiple harmonics into the correlation filter for improved discrimination capability. Additionally, the filter design minimizes the average correlation energy in order to achieve sharp correlation peaks, and thus we refer to these filters as minimum average correlation energy Mellin radial harmonic (MACE-MRH) filters. We present underlying theory, a MACE-MRH filter design method, and numerical simulation results.

Original language	English
Pages (from-to)	1794-1802
Number of pages	9
Journal	IEEE Transactions on Image Processing
Volume	15
Issue number	7
DOIs	https://doi.org/10.1109/TIP.2006.873468
State	Published - Jul 2006
Externally published	Yes

Funding

Manuscript received May 28, 2004; revised July 27, 2005. This work was supported in part by the Technology Support Working Group (TSWG) and in part by a fellowship from Northrop Grumman Corporation. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Ivan W. Selesnick.

Funders	Funder number
Northrop Grumman

Keywords

Correlation filters
Mellin radial harmonic functions
Pattern recognition
Scale invariance

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10.1109/TIP.2006.873468

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AB - Correlation filtering methods are becoming increasingly popular for image recognition and location. The recent introduction of optimal tradeoff circular harmonic function filters allowed the user to specify the response of a correlation filter to in-plane rotation distortion. In this paper we introduce a new correlation filter design that can provide a user-specified response to in-plane scale distortion. The design is based on the Mellin radial harmonic (MRH) transform and incorporates multiple harmonics into the correlation filter for improved discrimination capability. Additionally, the filter design minimizes the average correlation energy in order to achieve sharp correlation peaks, and thus we refer to these filters as minimum average correlation energy Mellin radial harmonic (MACE-MRH) filters. We present underlying theory, a MACE-MRH filter design method, and numerical simulation results.

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KW - Scale invariance

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Correlation filters with controlled scale response

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