{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:28Z","timestamp":1740134548852,"version":"3.37.3"},"reference-count":14,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"School of Mathematical Sciences, Universiti Sains Malaysia"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>This paper describes the use of trigonometric spline to visualize the given planar data. The goal of this work is to determine the smoothest possible curve that passes through its data points while simultaneously satisfying the shape preserving features of the data. Positive, monotone, and constrained curve interpolating schemes, by using a<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:msup><mml:mrow><mml:mi>C<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:math>piecewise rational cubic trigonometric spline with four shape parameters, are developed. Two of these shape parameters are constrained and the other two are set free to preserve the inherited shape features of the data as well as to control the shape of the curve. Numerical examples are given to illustrate the worth of the work.<\/jats:p>","DOI":"10.1155\/2013\/531497","type":"journal-article","created":{"date-parts":[[2013,6,12]],"date-time":"2013-06-12T17:01:14Z","timestamp":1371056474000},"page":"1-10","source":"Crossref","is-referenced-by-count":13,"title":["Data Visualization Using Rational Trigonometric Spline"],"prefix":"10.1155","volume":"2013","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2686-6860","authenticated-orcid":true,"given":"Uzma","family":"Bashir","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jamaludin Md.","family":"Ali","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1080\/00207160.2011.627434"},{"issue":"2","key":"2","first-page":"194","volume":"3","year":"2010","journal-title":"European Journal of Pure and Applied Mathematics"},{"year":"1996","key":"3"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-8396(02)00126-7"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-03-01530-8"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.cagd.2004.03.001"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2004.10.008"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2005.02.013"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.cagd.2011.02.001"},{"issue":"4","key":"10","first-page":"989","volume":"9","year":"2012","journal-title":"Journal of Information and Computational Science"},{"issue":"1","key":"11","first-page":"89","volume":"9","year":"2013","journal-title":"Journal of Computational Information Systems"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/247120"},{"issue":"2","key":"13","first-page":"905","volume":"8","year":"2012","journal-title":"Journal of Computational Information Systems"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/S0097-8493(01)00125-X"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/531497.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/531497.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/531497.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,30]],"date-time":"2016-07-30T10:15:14Z","timestamp":1469873714000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/531497\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":14,"alternative-id":["531497","531497"],"URL":"https:\/\/doi.org\/10.1155\/2013\/531497","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2013]]}}}