{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,26]],"date-time":"2025-09-26T08:10:14Z","timestamp":1758874214068},"reference-count":0,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2003,2,13]],"date-time":"2003-02-13T00:00:00Z","timestamp":1045094400000},"content-version":"vor","delay-in-days":2569,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Computer Graphics Forum"],"published-print":{"date-parts":[[1996,2]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Scattered data is, by definition, irregularly spaced. Uniform surface schemes are not well adapted to the locally varying nature of such data. Conversely, Triangular B\u2010Spline surfaces 2 are more flexible in that they can be built over arbitrary triangulations and thus can be adapted to the scattered data.<\/jats:p><jats:p>This paper discusses the use of DMS spline surfaces for approximation of scattered data. A method is provided for automatically triangulating the domain containing the points and generating basis functions over this triangulation. A surface approximating the data is then found by a combination of least squares and bending energy minimization. This combination serves both to generate a smooth surface and to accommodate for gaps in the data. Examples are presented which demonstrate the eftectiveness of the technique for mathematical, geographical and other data sets.<\/jats:p>","DOI":"10.1111\/1467-8659.1510015","type":"journal-article","created":{"date-parts":[[2003,3,11]],"date-time":"2003-03-11T11:33:45Z","timestamp":1047382425000},"page":"15-23","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Fitting Triangular B\u2010Splines to Functional Scattered Data"],"prefix":"10.1111","volume":"15","author":[{"given":"Ron","family":"Pfeifle","sequence":"first","affiliation":[]},{"given":"Hans\u2010Peter","family":"Seidel","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2003,2,13]]},"container-title":["Computer Graphics Forum"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1111%2F1467-8659.1510015","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1111\/1467-8659.1510015","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,27]],"date-time":"2023-10-27T12:04:51Z","timestamp":1698408291000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1111\/1467-8659.1510015"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,2]]},"references-count":0,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1996,2]]}},"alternative-id":["10.1111\/1467-8659.1510015"],"URL":"https:\/\/doi.org\/10.1111\/1467-8659.1510015","archive":["Portico"],"relation":{},"ISSN":["0167-7055","1467-8659"],"issn-type":[{"value":"0167-7055","type":"print"},{"value":"1467-8659","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,2]]},"assertion":[{"value":"2003-02-13","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}