{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T14:06:02Z","timestamp":1725545162310},"publisher-location":"Berlin, Heidelberg","reference-count":23,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642116193"},{"type":"electronic","value":"9783642116209"}],"license":[{"start":{"date-parts":[[2010,1,1]],"date-time":"2010-01-01T00:00:00Z","timestamp":1262304000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010]]},"DOI":"10.1007\/978-3-642-11620-9_22","type":"book-chapter","created":{"date-parts":[[2010,2,11]],"date-time":"2010-02-11T07:32:28Z","timestamp":1265873548000},"page":"329-346","source":"Crossref","is-referenced-by-count":11,"title":["Constructing Good Coefficient Functionals for Bivariate C 1 Quadratic Spline Quasi-Interpolants"],"prefix":"10.1007","author":[{"given":"Sara","family":"Remogna","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"22_CR1","first-page":"31","volume-title":"Curve and Surface Fitting, Saint-Malo 2002","author":"D. Barrera","year":"2003","unstructured":"Barrera, D., Ib\u00e1\u00f1ez, M.J., Sablonni\u00e8re, P.: Near-best discrete quasi-interpolants on uniform and nonuniform partitions. In: Cohen, A., Merrien, J.L., Schumaker, L.L. (eds.) Curve and Surface Fitting, Saint-Malo 2002, pp. 31\u201340. Nashboro Press, Brentwood (2003)"},{"key":"22_CR2","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1016\/j.cam.2005.01.034","volume":"183","author":"D. Barrera","year":"2005","unstructured":"Barrera, D., Ib\u00e1\u00f1ez, M.J., Sablonni\u00e8re, P., Sbibih, D.: Near-best quasi-interpolants associated with H-splines on a three-direction mesh. J. Comput. Appl. Math.\u00a0183, 133\u2013152 (2005)","journal-title":"J. Comput. Appl. Math."},{"key":"22_CR3","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1016\/j.apnum.2006.10.004","volume":"58","author":"D. Barrera","year":"2008","unstructured":"Barrera, D., Ib\u00e1\u00f1ez, M.J.: Bernstein-B\u00e9zier representation and near-minimally normed discrete quasi-interpolation operators. Appl. Num. Math.\u00a058, 59\u201368 (2008)","journal-title":"Appl. Num. Math."},{"key":"22_CR4","doi-asserted-by":"crossref","unstructured":"Barrera, D., Ib\u00e1\u00f1ez, M.J., Sablonni\u00e8re, P., Sbibih, D.: On near best discrete quasi-interpolation on a four-directional mesh. J. Comput. Appl. Math. (to appear)","DOI":"10.1016\/j.cam.2009.02.063"},{"key":"22_CR5","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2244-4","volume-title":"Box-splines","author":"C. Boor de","year":"1993","unstructured":"de Boor, C., H\u00f6llig, K., Riemenschneider, S.: Box-splines. Springer-Verlag, New York (1993)"},{"key":"22_CR6","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970173","volume-title":"Multivariate splines","author":"C.K. Chui","year":"1988","unstructured":"Chui, C.K.: Multivariate splines. SIAM, Philadelphia (1988)"},{"key":"22_CR7","unstructured":"Chui, C.K., Wang, R.H.: On a bivariate B-splines basis. Scientia Sinica XXVII, 1129\u20131142 (1984)"},{"key":"22_CR8","unstructured":"Dagnino, C., Lamberti, P.: On C 1 quasi interpolating splines with type-2 triangulations. Progetto MURST Analisi Numerica: Metodi e Software Matematico, Ferrara (2000)"},{"key":"22_CR9","unstructured":"Dagnino, C., Sablonni\u00e8re, P.: Error analysis for quadratic spline QI\u2019s on non-uniform criss-cross triangulation of bounded rectangular domains. Quaderni Scientifici del Dipartimento di Matematica, Universit\u00e0 di Torino, 38 (2004)"},{"key":"22_CR10","unstructured":"Davydov, O., Sablonni\u00e8re, P.: C 2 cubic spline quasi-interpolants on Powell-Sabin uniform triangulations. In: Buhmann, M.D., Haussmann, W., Jetter, K., St\u00f6ckler, J. (eds.) International Conference on Multivariate Approximation, Haus Bommerholz (2008) (submitted)"},{"key":"22_CR11","first-page":"160","volume-title":"Curve and Surface Fitting, Avignon 2006","author":"F. Foucher","year":"2007","unstructured":"Foucher, F., Sablonni\u00e8re, P.: Superconvergence properties of some bivariate C 1 quadratic spline quasi-interpolants. In: Cohen, A., Merrien, J.L., Schumaker, L.L. (eds.) Curve and Surface Fitting, Avignon 2006, pp. 160\u2013169. Nashboro Press, Brentwood (2007)"},{"key":"22_CR12","doi-asserted-by":"publisher","first-page":"202","DOI":"10.1016\/j.matcom.2007.08.021","volume":"77","author":"F. Foucher","year":"2008","unstructured":"Foucher, F., Sablonni\u00e8re, P.: Approximating partial derivatives of first and second order by quadratic spline quasi-interpolants on uniform meshes. Math. & Computers in Simulation\u00a077, 202\u2013208 (2008)","journal-title":"Math. & Computers in Simulation"},{"key":"22_CR13","first-page":"181","volume":"38","author":"R. Franke","year":"1982","unstructured":"Franke, R.: Scattered data interpolation: Tests of some methods. Math. Comp.\u00a038, 181\u2013200 (1982)","journal-title":"Math. Comp."},{"key":"22_CR14","unstructured":"Ib\u00e1\u00f1ez P\u00e9rez, M.J.: Quasi-interpolantes spline discretos de norma casi m\u00ednima. Teor\u00eda y aplicaciones. PhD Thesis, Universidad de Granada (2003)"},{"key":"22_CR15","unstructured":"Sablonni\u00e8re, P.: Bases de Bernstein et approximants splines, Th\u00e8se de doctorat, Universit\u00e9 de Lille (1982)"},{"key":"22_CR16","series-title":"ISNM","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1007\/978-3-0348-8067-1_15","volume-title":"Modern developments in multivariate approximations","author":"P. Sablonni\u00e8re","year":"2003","unstructured":"Sablonni\u00e8re, P.: On some multivariate quadratic spline quasi-interpolants on bounded domains. In: Hausmann, W., et al. (eds.) Modern developments in multivariate approximations. ISNM, vol.\u00a0145, pp. 263\u2013278. Birkh\u00e4user Verlag, Basel (2003)"},{"key":"22_CR17","first-page":"61","volume":"61","author":"P. Sablonni\u00e8re","year":"2003","unstructured":"Sablonni\u00e8re, P.: Quadratic spline quasi-interpolants on bounded domains of $\\mathbb{R}^d,\\ d=1,2,3$ . Rend. Sem. Univ. Pol. Torino\u00a061, 61\u201378 (2003)","journal-title":"Rend. Sem. Univ. Pol. Torino"},{"key":"22_CR18","series-title":"ISNM","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1007\/3-7643-7356-3_17","volume-title":"Trends and Applications in Constructive Approximation","author":"P. Sablonni\u00e8re","year":"2005","unstructured":"Sablonni\u00e8re, P.: Recent progress on univariate and multivariate polynomial and spline quasi-interpolants. In: de Bruijn, M.G., Mache, D.H., Szabados, J. (eds.) Trends and Applications in Constructive Approximation. ISNM, vol.\u00a0151, pp. 229\u2013245. Birkh\u00e4user Verlag, Basel (2005)"},{"key":"#cr-split#-22_CR19.1","unstructured":"Sablonni\u00e8re, P.: BB-coefficients of basic quadratic splines on rectangular domains with uniform criss-cross triangulations. Pr\u00e9publication IRMAR 02-56, Rennes (2002);"},{"key":"#cr-split#-22_CR19.2","unstructured":"Corrected version (2007)"},{"key":"22_CR20","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1051\/proc:072017","volume":"20","author":"P. Sablonni\u00e8re","year":"2007","unstructured":"Sablonni\u00e8re, P.: Quasi-interpolants splines: exemples et applications. ESAIM: PROC\u00a020, 195\u2013207 (2007)","journal-title":"ESAIM: PROC"},{"key":"22_CR21","series-title":"LNM","doi-asserted-by":"publisher","first-page":"378","DOI":"10.1007\/BFb0087420","volume-title":"Approximation Theory","author":"L.L. Schumaker","year":"1976","unstructured":"Schumaker, L.L.: Two-stage spline methods for fitting surfaces. In: Schaback, R., Scherer, K. (eds.) Approximation Theory. LNM, vol.\u00a0556, pp. 378\u2013389. Springer, Berlin (1976)"},{"key":"22_CR22","volume-title":"Approximation Theory and Numerical Methods","author":"G.A. Watson","year":"1980","unstructured":"Watson, G.A.: Approximation Theory and Numerical Methods. Wiley, Chichester (1980)"}],"container-title":["Lecture Notes in Computer Science","Mathematical Methods for Curves and Surfaces"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-11620-9_22","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,27]],"date-time":"2020-05-27T20:44:36Z","timestamp":1590612276000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-11620-9_22"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"ISBN":["9783642116193","9783642116209"],"references-count":23,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-11620-9_22","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2010]]}}}