Alignment and sub-pixel interpolation of images using Fourier methods

C. Glasbey; G.W.A.M. van der Heijden

doi:10.1080/02664760600995155

Alignment and sub-pixel interpolation of images using Fourier methods

C. Glasbey, G.W.A.M. van der Heijden

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

2 Citations (Scopus)

Abstract

A method is proposed for both estimating and correcting a translational mis-alignment between digital images, taking account of aliasing of high-frequency information. A parametric model is proposed for the power- and cross-spectra of the multivariate stochastic process that is assumed to have generated a continuous-space version of the images. Parameters, including those that specify misalignment, are estimated by numerical maximum likelihood. The effectiveness of the interpolant is confirmed by simulation and illustrated using multi-band Landsat images.

Original language	English
Pages (from-to)	217-230
Number of pages	14
Journal	Journal of Applied Statistics
Volume	34
Issue number	2
DOIs	https://doi.org/10.1080/02664760600995155
Publication status	Published - 2007

Keywords

Aliasing
Coherency
Complex Gaussian distribution
Cross-spectrum
Landsat image
Phase spectrum
Power spectrum
Sub-pixel

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10.1080/02664760600995155

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abstract = "A method is proposed for both estimating and correcting a translational mis-alignment between digital images, taking account of aliasing of high-frequency information. A parametric model is proposed for the power- and cross-spectra of the multivariate stochastic process that is assumed to have generated a continuous-space version of the images. Parameters, including those that specify misalignment, are estimated by numerical maximum likelihood. The effectiveness of the interpolant is confirmed by simulation and illustrated using multi-band Landsat images.",

keywords = "Aliasing, Coherency, Complex Gaussian distribution, Cross-spectrum, Landsat image, Phase spectrum, Power spectrum, Sub-pixel",

author = "C. Glasbey and {van der Heijden}, G.W.A.M.",

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AU - van der Heijden, G.W.A.M.

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AB - A method is proposed for both estimating and correcting a translational mis-alignment between digital images, taking account of aliasing of high-frequency information. A parametric model is proposed for the power- and cross-spectra of the multivariate stochastic process that is assumed to have generated a continuous-space version of the images. Parameters, including those that specify misalignment, are estimated by numerical maximum likelihood. The effectiveness of the interpolant is confirmed by simulation and illustrated using multi-band Landsat images.

KW - Aliasing

KW - Coherency

KW - Complex Gaussian distribution

KW - Cross-spectrum

KW - Landsat image

KW - Phase spectrum

KW - Power spectrum

KW - Sub-pixel

U2 - 10.1080/02664760600995155

DO - 10.1080/02664760600995155

M3 - Article

SN - 0266-4763

VL - 34

SP - 217

EP - 230

JO - Journal of Applied Statistics

JF - Journal of Applied Statistics

IS - 2

ER -

Alignment and sub-pixel interpolation of images using Fourier methods

Abstract

Keywords

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