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Finally, in order to preserve image texture direction, an objective function based on the gradient is constructed, and the weight of the correlation point is calculated, and the pixel value of the interpolation point is determined by convolution. Experimental results show that the proposed algorithm achieves good competitive performance compared with the state-of-the-art interpolation algorithms, especially in preserving image details and edge structure.<\/jats:p>","DOI":"10.4018\/ijmdem.2018040103","type":"journal-article","created":{"date-parts":[[2018,3,5]],"date-time":"2018-03-05T16:57:32Z","timestamp":1520269052000},"page":"36-56","source":"Crossref","is-referenced-by-count":1,"title":["A Texture Preserving Image Interpolation Algorithm Based on Rational Function"],"prefix":"10.4018","volume":"9","author":[{"given":"Hongwei","family":"Du","sequence":"first","affiliation":[{"name":"Shandong University of Finance and Economics, Jinan, CN"}]},{"given":"Yunfeng","family":"Zhang","sequence":"additional","affiliation":[{"name":"Shandong University of Finance and Economics, Jinan, CN"}]},{"given":"Fangxun","family":"Bao","sequence":"additional","affiliation":[{"name":"Shandong University, Jinan, CN"}]},{"given":"Ping","family":"Wang","sequence":"additional","affiliation":[{"name":"Shandong University of Finance and Economics, Jinan, CN"}]},{"given":"Caiming","family":"Zhang","sequence":"additional","affiliation":[{"name":"Shandong University, Jinan, CN"}]}],"member":"2432","reference":[{"key":"IJMDEM.2018040103-0","doi-asserted-by":"crossref","unstructured":"Burger, W. & Burge, M. 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