Sub-Pixel Shift Estimation of Image Based on the Least Squares Approximation in Phase Region
Summary :
This paper proposes a novel method to estimate non-integer shift of images based on least squares approximation in the phase region. Conventional methods based on Phase Only Correlation (POC) take correlation between an image and its shifted image, and then estimate the non-integer shift by fitting the model equation. The problem when estimating using POC is that the estimated peak of the fitted model equation may not match the true peak of the POC function. This causes error in non-integer shift estimation. By calculating the phase difference directly in the phase region, the proposed method allows the estimation of sub-pixel shift through least squares approximation. Also by utilizing the characteristics of natural images, the proposed method limits adoption range for least squares approximation. By these improvements, the proposed method achieves high accuracy, and we validate through some examples.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E101-A No.1 pp.267-272
- Publication Date
- 2018/01/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E101.A.267
- Type of Manuscript
- PAPER
- Category
- Image
Authors
Ryo FUJIMOTO
Keio University
Takanori FUJISAWA
Keio University
Masaaki IKEHARA
Keio University
Keyword
Latest Issue
Copyrights notice of machine-translated contents
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Cite this
Copy
Ryo FUJIMOTO, Takanori FUJISAWA, Masaaki IKEHARA, "Sub-Pixel Shift Estimation of Image Based on the Least Squares Approximation in Phase Region" in IEICE TRANSACTIONS on Fundamentals,
vol. E101-A, no. 1, pp. 267-272, January 2018, doi: 10.1587/transfun.E101.A.267.
Abstract: This paper proposes a novel method to estimate non-integer shift of images based on least squares approximation in the phase region. Conventional methods based on Phase Only Correlation (POC) take correlation between an image and its shifted image, and then estimate the non-integer shift by fitting the model equation. The problem when estimating using POC is that the estimated peak of the fitted model equation may not match the true peak of the POC function. This causes error in non-integer shift estimation. By calculating the phase difference directly in the phase region, the proposed method allows the estimation of sub-pixel shift through least squares approximation. Also by utilizing the characteristics of natural images, the proposed method limits adoption range for least squares approximation. By these improvements, the proposed method achieves high accuracy, and we validate through some examples.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.267/_p
Copy
@ARTICLE{e101-a_1_267,
author={Ryo FUJIMOTO, Takanori FUJISAWA, Masaaki IKEHARA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Sub-Pixel Shift Estimation of Image Based on the Least Squares Approximation in Phase Region},
year={2018},
volume={E101-A},
number={1},
pages={267-272},
abstract={This paper proposes a novel method to estimate non-integer shift of images based on least squares approximation in the phase region. Conventional methods based on Phase Only Correlation (POC) take correlation between an image and its shifted image, and then estimate the non-integer shift by fitting the model equation. The problem when estimating using POC is that the estimated peak of the fitted model equation may not match the true peak of the POC function. This causes error in non-integer shift estimation. By calculating the phase difference directly in the phase region, the proposed method allows the estimation of sub-pixel shift through least squares approximation. Also by utilizing the characteristics of natural images, the proposed method limits adoption range for least squares approximation. By these improvements, the proposed method achieves high accuracy, and we validate through some examples.},
keywords={},
doi={10.1587/transfun.E101.A.267},
ISSN={1745-1337},
month={January},}
Copy
TY - JOUR
TI - Sub-Pixel Shift Estimation of Image Based on the Least Squares Approximation in Phase Region
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 267
EP - 272
AU - Ryo FUJIMOTO
AU - Takanori FUJISAWA
AU - Masaaki IKEHARA
PY - 2018
DO - 10.1587/transfun.E101.A.267
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2018
AB - This paper proposes a novel method to estimate non-integer shift of images based on least squares approximation in the phase region. Conventional methods based on Phase Only Correlation (POC) take correlation between an image and its shifted image, and then estimate the non-integer shift by fitting the model equation. The problem when estimating using POC is that the estimated peak of the fitted model equation may not match the true peak of the POC function. This causes error in non-integer shift estimation. By calculating the phase difference directly in the phase region, the proposed method allows the estimation of sub-pixel shift through least squares approximation. Also by utilizing the characteristics of natural images, the proposed method limits adoption range for least squares approximation. By these improvements, the proposed method achieves high accuracy, and we validate through some examples.
ER -
English
