Sub-pixel shift estimation of image based on the least squares approximation in phase region

Ryo Fujimoto, Takanori Fujisawa, Masaaki Ikehara

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)267-272
Number of pages6
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Issue number1
Publication statusPublished - 2018 Jan 1


  • Image registration
  • Shift estimation
  • Sub-pixel estimation

ASJC Scopus subject areas

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics


Dive into the research topics of 'Sub-pixel shift estimation of image based on the least squares approximation in phase region'. Together they form a unique fingerprint.

Cite this