{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T17:17:31Z","timestamp":1771003051982,"version":"3.50.1"},"reference-count":17,"publisher":"SAGE Publications","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["JCM"],"published-print":{"date-parts":[[2021,5,6]]},"abstract":"<jats:p>Traditional vision measurement algorithms have many shortcomings, such as complex process, multi-parameter adjustment and the integer pixel accuracy. To solve these problems, a sub-pixel displacement measurement algorithm based on Taylor expansion is proposed. The displacement vector between adjacent frames is modeled in the first step, and then shift equation of the template image is constructed based on assumptions of constant brightness and spatial consistency. After performing a first-order Taylor series approximation, the displacement vector is obtained by least squares estimation. Finally, through iteratively updating the position of template image, displacement is rapidly extracted. In order to verify the accuracy and effectiveness of the Taylor expansion algorithm, the accuracy test of the grating ruler platform in the presence of the target and the vibration measurement experiment on vibration motor in the absence of the target are designed. Experimental results show that, compared with template matching algorithm based on normalized cross correlation, for the experiments mentioned in this paper, the proposed algorithm can control the calculation time for one frame in less than 1\u00a0ms, and achieve higher sub-pixel computation accuracy. Compared with the actual set frequency of 10.78\u00a0Hz, the measured frequency of the motor is very consistent with a relative error of 1.1%. It also verifies that the Taylor expansion algorithm proposed in this paper is a reliable and effective non-contact measurement method with important practical application value for vibration measurement.<\/jats:p>","DOI":"10.3233\/jcm-204501","type":"journal-article","created":{"date-parts":[[2020,7,21]],"date-time":"2020-07-21T14:31:59Z","timestamp":1595341919000},"page":"357-366","source":"Crossref","is-referenced-by-count":0,"title":["Sub-pixel displacement measurement based on Taylor expansion theory"],"prefix":"10.1177","volume":"21","author":[{"given":"Chunli","family":"Zhu","sequence":"first","affiliation":[{"name":"AnHui Province Key Laboratory of Simulation and Design for Electronic Information System, Hefei Normal University, Hefei, Anhui, China"}]},{"given":"Xiujun","family":"Lei","sequence":"additional","affiliation":[{"name":"Hefei Fuhuang Agile Device Co. Ltd., Hefei, Anhui, China"}]},{"given":"Jie","family":"Guo","sequence":"additional","affiliation":[{"name":"University of Science and Technology of China, Hefei, Anhui, China"}]},{"given":"Yuan","family":"Shen","sequence":"additional","affiliation":[{"name":"AnHui Province Key Laboratory of Simulation and Design for Electronic Information System, Hefei Normal University, Hefei, Anhui, China"}]}],"member":"179","reference":[{"key":"10.3233\/JCM-204501_ref1","doi-asserted-by":"crossref","first-page":"372","DOI":"10.1016\/j.measurement.2018.08.026","article-title":"Binocular vision measurement and its application in full-field convex deformation of concrete-filled steel tubular columns","volume":"130","author":"Tang","year":"2018","journal-title":"Measurement"},{"key":"10.3233\/JCM-204501_ref2","first-page":"1","article-title":"In situ measurement of wind-induced pulse response of sound barrier based on high-speed imaging technology","volume":"8704134","author":"Zhu","year":"2016","journal-title":"Mathematical Problems in Engineering"},{"issue":"12","key":"10.3233\/JCM-204501_ref3","doi-asserted-by":"crossref","first-page":"2841","DOI":"10.1109\/TIM.2018.2830862","article-title":"An accurate and efficient vision measurement approach for railway catenary geometry parameters","volume":"67","author":"Zhan","year":"2018","journal-title":"IEEE Transactions on Instrumentation and Measurement"},{"issue":"2","key":"10.3233\/JCM-204501_ref4","doi-asserted-by":"crossref","first-page":"196","DOI":"10.1016\/j.aei.2015.01.008","article-title":"A review on computer vision based defect detection and condition assessment of concrete and asphalt civil infrastructure","volume":"29","author":"Koch","year":"2015","journal-title":"Advanced Engineering Informatics"},{"key":"10.3233\/JCM-204501_ref5","doi-asserted-by":"crossref","unstructured":"T. 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