{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:43:00Z","timestamp":1740134580673,"version":"3.37.3"},"reference-count":28,"publisher":"Wiley","license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100005710","name":"Universiti Teknologi Petronas","doi-asserted-by":"publisher","award":["35\/2012"],"award-info":[{"award-number":["35\/2012"]}],"id":[{"id":"10.13039\/501100005710","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2015]]},"abstract":"<jats:p>This paper discusses the positivity preserving interpolation for positive surfaces data by extending the<jats:italic>C<\/jats:italic><jats:sup>1<\/jats:sup>rational cubic spline interpolant of Karim and Kong to the bivariate cases. The partially blended rational bicubic spline has 12 parameters in the descriptions where 8 of them are free parameters. The sufficient conditions for the positivity are derived on every four boundary curves network on the rectangular patch. Numerical comparison with existing schemes also has been done in detail. Based on Root Mean Square Error (RMSE), our partially blended rational bicubic spline is on a par with the established methods.<\/jats:p>","DOI":"10.1155\/2015\/572768","type":"journal-article","created":{"date-parts":[[2015,3,22]],"date-time":"2015-03-22T17:05:18Z","timestamp":1427043918000},"page":"1-15","source":"Crossref","is-referenced-by-count":7,"title":["Positivity Preserving Interpolation Using Rational Bicubic Spline"],"prefix":"10.1155","volume":"2015","author":[{"given":"Samsul Ariffin","family":"Abdul Karim","sequence":"first","affiliation":[{"name":"Department of Fundamental and Applied Sciences, Universiti Teknologi PETRONAS, Bandar Seri Iskandar, 32610 Perak Darul Ridzuan, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kong","family":"Voon Pang","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Universiti Sains Malaysia (USM), 11800 Minden, Penang, 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