{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:29Z","timestamp":1740134549189,"version":"3.37.3"},"reference-count":9,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61173119","11271376","A1414","NCET-13-0590"],"award-info":[{"award-number":["61173119","11271376","A1414","NCET-13-0590"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61173119","11271376","A1414","NCET-13-0590"],"award-info":[{"award-number":["61173119","11271376","A1414","NCET-13-0590"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004835","name":"Zhejiang University","doi-asserted-by":"publisher","award":["61173119","11271376","A1414","NCET-13-0590"],"award-info":[{"award-number":["61173119","11271376","A1414","NCET-13-0590"]}],"id":[{"id":"10.13039\/501100004835","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004602","name":"Program for New Century Excellent Talents in University","doi-asserted-by":"publisher","award":["61173119","11271376","A1414","NCET-13-0590"],"award-info":[{"award-number":["61173119","11271376","A1414","NCET-13-0590"]}],"id":[{"id":"10.13039\/501100004602","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>A biquartic rational interpolation spline surface over rectangular domain is constructed in this paper, which includes the classical bicubic Coons surface as a special case. Sufficient conditions for generating shape preserving interpolation splines for positive or monotonic surface data are deduced. The given numeric experiments show our method can deal with surface construction from positive or monotonic data effectively.<\/jats:p>","DOI":"10.1155\/2014\/987076","type":"journal-article","created":{"date-parts":[[2014,5,8]],"date-time":"2014-05-08T17:24:06Z","timestamp":1399569846000},"page":"1-11","source":"Crossref","is-referenced-by-count":3,"title":["Positivity and Monotonicity Preserving Biquartic Rational Interpolation Spline Surface"],"prefix":"10.1155","volume":"2014","author":[{"given":"Xinru","family":"Liu","sequence":"first","affiliation":[{"name":"Power Metallurgy Research Institute, Central South University, Changsha, Hunan 410083, China"},{"name":"School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, China"},{"name":"State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha, Hunan 410083, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuanpeng","family":"Zhu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3222-5656","authenticated-orcid":true,"given":"Shengjun","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, China"},{"name":"State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha, Hunan 410083, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"doi-asserted-by":"publisher","key":"1","DOI":"10.1137\/0722024"},{"doi-asserted-by":"publisher","key":"2","DOI":"10.1137\/0727030"},{"doi-asserted-by":"publisher","key":"3","DOI":"10.1016\/0167-8396(95)00028-3"},{"doi-asserted-by":"publisher","key":"4","DOI":"10.1137\/S0036142994268582"},{"doi-asserted-by":"publisher","key":"5","DOI":"10.1016\/j.cam.2007.05.023"},{"doi-asserted-by":"publisher","key":"6","DOI":"10.1016\/j.amc.2007.02.022"},{"doi-asserted-by":"publisher","key":"7","DOI":"10.1155\/2012\/247120"},{"doi-asserted-by":"publisher","key":"8","DOI":"10.1155\/2012\/624978"},{"doi-asserted-by":"publisher","key":"9","DOI":"10.1016\/j.cam.2005.12.007"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/987076.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/987076.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/987076.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,29]],"date-time":"2016-07-29T08:11:48Z","timestamp":1469779908000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/987076\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":9,"alternative-id":["987076","987076"],"URL":"https:\/\/doi.org\/10.1155\/2014\/987076","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}