{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:02:59Z","timestamp":1760241779899,"version":"build-2065373602"},"reference-count":22,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2018,8,21]],"date-time":"2018-08-21T00:00:00Z","timestamp":1534809600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61702303","61201371"],"award-info":[{"award-number":["61702303","61201371"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Shandong Provincial Natural Science Foundation, China","award":["ZR2017MF020","ZR2015PF004"],"award-info":[{"award-number":["ZR2017MF020","ZR2015PF004"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Information"],"abstract":"<jats:p>Based on a deep understanding of all-phase digital filter (APDF) design and all-phase biorthogonal transform (APBT), this paper will further study the windowed all-phase digital filter (WAPDF) and windowed all-phase biorthogonal transform (WAPBT), discuss the principle of the WAPBT, and provide a unified construction method of the all-phase transform (APT). Based on a type of orthogonal transform, i.e., discrete sine transform (DST), an interpolation filter called an all-phase DST (APDST) filter is constructed and used for image demosaicking; it is compared with bilinear interpolation and all-phase inverse discrete cosine transform (APIDCT) interpolation filters, to test its performance in image interpolation and provide analysis and discussion. The experimental results show that APIDCT and APDST filters with a size of 7 \u00d7 7 are similar in interpolation performance, but better than the bilinear interpolation method. In addition to its use in image interpolation demosaicking, the low-pass filter designed in this paper can also be widely used in image interpolation, image denoising, image resizing, and other fields of image processing.<\/jats:p>","DOI":"10.3390\/info9090206","type":"journal-article","created":{"date-parts":[[2018,8,21]],"date-time":"2018-08-21T11:12:42Z","timestamp":1534849962000},"page":"206","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Interpolation Filter Design Based on All-Phase DST and Its Application to Image Demosaicking"],"prefix":"10.3390","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1331-7379","authenticated-orcid":false,"given":"Xiao","family":"Zhou","sequence":"first","affiliation":[{"name":"School of Mechanical, Electrical and Information Engineering, Shandong University, Weihai 264209, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0901-2492","authenticated-orcid":false,"given":"Chengyou","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mechanical, Electrical and Information Engineering, Shandong University, Weihai 264209, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1476-6790","authenticated-orcid":false,"given":"Zhi","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mechanical, Electrical and Information Engineering, Shandong University, Weihai 264209, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qiming","family":"Fu","sequence":"additional","affiliation":[{"name":"School of Mechanical, Electrical and Information Engineering, Shandong University, Weihai 264209, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,8,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1007\/s40031-013-0049-9","article-title":"The role of transforms in image compression","volume":"94","author":"Bairagi","year":"2013","journal-title":"J. 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