{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T18:31:35Z","timestamp":1787337095559,"version":"build-2736575974"},"reference-count":15,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2006,1]]},"abstract":"<jats:p>We study minimal energy interpolation and discrete and penalized least squares approximation problems on the unit sphere using nonhomogeneous spherical splines. Several numerical experiments are conducted to compare approximating properties of homogeneous and nonhomogeneous splines. Our numerical experiments show that nonhomogeneous splines have certain advantages over homogeneous splines.<\/jats:p>","DOI":"10.1137\/040620722","type":"journal-article","created":{"date-parts":[[2006,3,27]],"date-time":"2006-03-27T21:00:21Z","timestamp":1143493221000},"page":"241-259","source":"Crossref","is-referenced-by-count":36,"title":["Spherical Splines for Data Interpolation and Fitting"],"prefix":"10.1137","volume":"28","author":[{"given":"V.","family":"Baramidze","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"M. J.","family":"Lai","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"C. K.","family":"Shum","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,25]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1016\/0167-8396(95)00030-5"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1016\/0377-0427(96)00034-9"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141094276275"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2004.09.020"},{"key":"R5","unstructured":"V. Baramidze,\n                      Spherical Splines for Scattered Data Fitting\n                      , Ph.D. dissertation, Department of Mathematics, The University of Georgia, Athens, GA, 2005."},{"key":"R6","unstructured":"Victoria Baramidze, Ming\u2010Jun Lai, Error bounds for minimal energy interpolatory spherical splines, Mod. Methods Math., Nashboro Press, Brentwood, TN, 2005, 25\u2013502005m:41015"},{"key":"R7","unstructured":"Gregory Fasshauer, Larry Schumaker, Scattered data fitting on the sphere, Innov. Appl. Math., Vanderbilt Univ. Press, Nashville, TN, 1998, 117\u201316699d:41054"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1007\/s002110100381"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1007\/s00365-001-0018-4"},{"key":"R10","unstructured":"A. Gomide and J. Stolfi,\n                      Nonhomogeneous Polynomial Ck Splines on the Sphere Sn\n                      , Relatorio Tecnico IC\u201000\u201013, Institute of Computing, University of Campinas, Brazil, 2000."},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1029\/98EO00076"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1023\/B:ACOM.0000016430.93487.ec"},{"key":"R13","doi-asserted-by":"crossref","unstructured":"C. Reigber, H. Jochmann, J. W\u00fcnsch, S. Petrovic, P. Schwintzer, F. Barthelmes, K. H. Neumayer, R. K\u00f6nig, C. F\u00f6rste, G. Balmino, R. Biancale, J. M. Lemonie, S. Loyer, and F. Perosanz,\n                      Earth gravity field and seasonal variability from CHAMP\n                      , in Earth Observation with CHAMP, C. Reigber, H. L\u00fchr, P. Schwintzer, and J. Wickert, eds., Springer, New York, 2005, pp. 25\u201330.","DOI":"10.1007\/3-540-26800-6_4"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1126\/science.1099192"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970128"}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/040620722","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T17:44:31Z","timestamp":1787334271000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/040620722"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,1]]},"references-count":15,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2006,1]]}},"alternative-id":["10.1137\/040620722"],"URL":"https:\/\/doi.org\/10.1137\/040620722","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,1]]}}}