{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T07:09:47Z","timestamp":1758265787758},"reference-count":21,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","funder":[{"name":"Beijing Municipal Excellent Talent Program through the Youth Core Individual Project","award":["2017000020124G027"],"award-info":[{"award-number":["2017000020124G027"]}]},{"name":"Beijing Municipal Education Commission Science Plan through the General Research Project","award":["KM201810009001"],"award-info":[{"award-number":["KM201810009001"]}]},{"name":"Yu You Talent Planning of the North China University of Technology","award":["107051360018XN012-011"],"award-info":[{"award-number":["107051360018XN012-011"]}]},{"name":"Scientific Research Starting Foundation of the North China University of Technology","award":["110051360002"],"award-info":[{"award-number":["110051360002"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asia Pac. J. Oper. Res."],"published-print":{"date-parts":[[2019,10]]},"abstract":"<jats:p> In this paper, a revised directional triangle-area curve representation method (DTAR) is proposed to address the problem of eyebrow semantic shape characterization via curve representation. First, 11 or 12 DTAR values are selected to describe eyebrows via considering the eyebrow corner information roughly, and then the corresponding DTAR curves are acquired via the cubic spline interpolation based on these selected points. Second, a descriptor of the landmarks is developed to represent selected reference eyebrows, and the corresponding DTAR curves are obtained for the selected reference eyebrows. Lastly, a similarity notion based on AFS is introduced via measuring the membership degrees of each eyebrow shape similar to the given reference shapes, and then one can describe each eyebrow shape by using two given reference eyebrow shapes via computing the membership degrees representing the relative similarities. To illustrate the effectiveness of the proposed approach, we use the AR and BJUT databases for experiments to demonstrate the consistency comparison with human perceptions. The experimental results show that the extracted semantic notions of eyebrow shapes obtained by the proposed approach are much better than those by only utilizing 11 DTAR values or 12 DTAR values directly in terms of the consistency with human perceptions. <\/jats:p>","DOI":"10.1142\/s0217595919500301","type":"journal-article","created":{"date-parts":[[2019,8,16]],"date-time":"2019-08-16T09:55:10Z","timestamp":1565949310000},"page":"1950030","source":"Crossref","is-referenced-by-count":3,"title":["Semantic Concept Extraction for Eyebrow Shapes via AFS Clustering"],"prefix":"10.1142","volume":"36","author":[{"given":"Tao","family":"Du","sequence":"first","affiliation":[{"name":"School of Information and Electronic Engineering, North China University of Technology, Beijing, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Danyang","family":"Li","sequence":"additional","affiliation":[{"name":"School of Information and Electronic Engineering, North China University of Technology, Beijing, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yan","family":"Ren","sequence":"additional","affiliation":[{"name":"College of Automation, Shenyang Aerospace University, Shenyang, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chong","family":"Lu","sequence":"additional","affiliation":[{"name":"School of Information Management, Xinjiang University of Finance and Economics, Wulumuqi, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wanquan","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Computing, Curtin University, WA, Australia, College of Automation, Shenyang Aerospace University, Shenyang, P. R. 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