{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,5]],"date-time":"2025-12-05T01:17:53Z","timestamp":1764897473399,"version":"3.46.0"},"reference-count":0,"publisher":"Canadian Center of Science and Education","issue":"4","license":[{"start":{"date-parts":[[2017,10,31]],"date-time":"2017-10-31T00:00:00Z","timestamp":1509408000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["CIS"],"abstract":"<jats:p>It is proved that the linear space constructed by power base is a banach space under 2-norm by using approximation method. For the B\u00e9zier curve--the elements in banach space, the linear combination of the low-order S power base is used to approximate optimal the high-order Bernstein base function. The original B\u00e9zier curve is instituted by the linear combination of low-order S power base and the optimal approximation element of the original B\u00e9zier curve is obtained.<\/jats:p>","DOI":"10.5539\/cis.v10n4p67","type":"journal-article","created":{"date-parts":[[2017,11,1]],"date-time":"2017-11-01T01:22:50Z","timestamp":1509499370000},"page":"67","source":"Crossref","is-referenced-by-count":0,"title":["An Approximation Method of B\u00e9zier Curve"],"prefix":"10.5539","volume":"10","author":[{"given":"Zhi","family":"Wu","sequence":"first","affiliation":[]},{"given":"Chu yi","family":"Song","sequence":"additional","affiliation":[]},{"given":"De xi","family":"Bao","sequence":"additional","affiliation":[]}],"member":"3486","published-online":{"date-parts":[[2017,10,31]]},"container-title":["Computer and Information Science"],"original-title":[],"link":[{"URL":"http:\/\/www.ccsenet.org\/journal\/index.php\/cis\/article\/viewFile\/71556\/39123","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.ccsenet.org\/journal\/index.php\/CIS\/article\/download\/71556\/39123","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,5]],"date-time":"2025-12-05T01:13:30Z","timestamp":1764897210000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.ccsenet.org\/journal\/index.php\/cis\/article\/view\/71556"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,10,31]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2017,10,31]]}},"URL":"https:\/\/doi.org\/10.5539\/cis.v10n4p67","relation":{},"ISSN":["1913-8997","1913-8989"],"issn-type":[{"type":"electronic","value":"1913-8997"},{"type":"print","value":"1913-8989"}],"subject":[],"published":{"date-parts":[[2017,10,31]]}}}