{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,7]],"date-time":"2024-06-07T04:40:59Z","timestamp":1717735259141},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[2006,8,10]],"date-time":"2006-08-10T00:00:00Z","timestamp":1155168000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2007,2,26]]},"DOI":"10.1007\/s10444-004-8008-2","type":"journal-article","created":{"date-parts":[[2006,8,11]],"date-time":"2006-08-11T07:57:41Z","timestamp":1155283061000},"page":"205-230","source":"Crossref","is-referenced-by-count":4,"title":["Shape preserving histogram approximation"],"prefix":"10.1007","volume":"26","author":[{"given":"Paolo","family":"Costantini","sequence":"first","affiliation":[]},{"given":"Francesca","family":"Pelosi","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2006,8,10]]},"reference":[{"key":"8008_CR1","doi-asserted-by":"crossref","first-page":"61","DOI":"10.5802\/afst.589","volume":"5","author":"D. Apprato","year":"1983","unstructured":"D. Apprato, R. Arcang\u00e9li and J. Gaches, Fonctions splines par moyennes locales sur un ouvert born de \u211dn, Ann. Fac. Sci. Toulouse 5 (1983) 61\u201387.","journal-title":"Ann. Fac. Sci. Toulouse"},{"key":"8008_CR2","first-page":"1","volume":"21","author":"M. Ataki","year":"1988","unstructured":"M. Ataki and M. Sakai, A shape-preserving area-true approximation of histogram, Rep. Fac. Sci. Kagoshima Univ. Math. Phys. Chem. 21 (1988) 1\u201312.","journal-title":"Rep. Fac. Sci. Kagoshima Univ. Math. Phys. Chem."},{"key":"8008_CR3","first-page":"55","volume-title":"Multivariate Interpolation and Approximation","author":"P. Costantini","year":"1989","unstructured":"P. Costantini, On some recent method for bivariate shape preserving interpolation, in: Multivariate Interpolation and Approximation, Duisburg, 1989 (Birkh\u00e4user, Basel, 1989) pp. 55\u201368."},{"key":"8008_CR4","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1016\/S0167-8396(00)00010-8","volume":"17","author":"P. Costantini","year":"2000","unstructured":"P. Costantini, Curve and surface construction using variable degree polynomial splines, Comput. Aided Geom. Design 17 (2000) 419\u2013446.","journal-title":"Comput. Aided Geom. Design"},{"key":"8008_CR5","first-page":"83","volume-title":"Curve and Surface Fitting","author":"P. Costantini","year":"2002","unstructured":"P. Costantini and F. Pelosi, Constrained bivariate histosplines, in: Curve and Surface Fitting, Saint-Malo, 2002 (Nashboro Press, Nashville, TN, 2002) pp. 83\u201392."},{"key":"8008_CR6","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1023\/A:1025803122254","volume":"20","author":"P. Costantini","year":"2004","unstructured":"P. Costantini and F. Pelosi, Shape preserving approximation of spatial data, Adv. Comput. Math. 20 (2004) 25\u201351.","journal-title":"Adv. Comput. Math."},{"key":"8008_CR7","series-title":"International Series of Numerical Mathematics","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1007\/978-3-0348-5979-0_14","volume-title":"Spline Functions and Approximation Theory, Proc. of Sympos.","author":"C. Boor de","year":"1973","unstructured":"C. de Boor, Appendix to \u201cSplines and histograms\u201d, in: Spline Functions and Approximation Theory, Proc. of Sympos., Univ. of Alberta, Edmonton Alta, 1972, International Series of Numerical Mathematics, Vol. 21 (Birkh\u00e4user, Basel, 1973) pp. 329\u2013358."},{"key":"8008_CR8","doi-asserted-by":"crossref","first-page":"1259","DOI":"10.1216\/rmjm\/1181071715","volume":"28","author":"V. Demichelis","year":"1998","unstructured":"V. Demichelis, Piecewise weighted mean functions and histograms, Rocky Mountain J. Math. 28 (1998) 1259\u20131265.","journal-title":"Rocky Mountain J. Math."},{"key":"8008_CR9","first-page":"212","volume":"11","author":"G.Q. Han","year":"1989","unstructured":"G.Q. Han, A construction for histogram spline interpolation in Hilbert spaces, Math. Numer. Sinica 11 (1989) 212\u2013219.","journal-title":"Math. Numer. Sinica"},{"key":"8008_CR10","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1002\/zamm.19960760902","volume":"76","author":"W. Hess","year":"1996","unstructured":"W. Hess and J.W. Schmidt, Shape preserving C 3 data interpolation and C 2 histopolation with splines on threefold refined grids, Z. Angew. Math. Mech. 76 (1996) 487\u2013496.","journal-title":"Z. Angew. Math. Mech."},{"key":"8008_CR11","volume-title":"Fundamentals of Computer Aided Geometric Design","author":"J. Hoschek","year":"1993","unstructured":"J. Hoschek and D. Lasser, Fundamentals of Computer Aided Geometric Design (A.K. Peters, Wellesley, MA, 1993)."},{"key":"8008_CR12","volume-title":"Approximation et optimisation","author":"P.J. Laurent","year":"1972","unstructured":"P.J. Laurent, Fonctions-spline d'interpolation et d'adjustament, in: Approximation et optimisation (Hermann, Paris, 1972)."},{"key":"8008_CR13","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1137\/0910026","volume":"10","author":"R. Morandi","year":"1989","unstructured":"R. Morandi and P. Costantini, Piecewise monotone quadratic histosplines, SIAM J. Sci. Statist. Comput. 10 (1989) 397\u2013406.","journal-title":"SIAM J. Sci. Statist. Comput."},{"key":"8008_CR14","series-title":"Banach Center Publications","first-page":"35","volume-title":"Numerical Analysis and Mathematical Modelling","author":"J.W. Schmidt","year":"1994","unstructured":"J.W. Schmidt, Dual algorithms for convex approximations of histograms using cubic C 1-splines, in: Numerical Analysis and Mathematical Modelling, Banach Center Publications, Vol. 29 (Polish Acad. Sci., Warsaw, 1994) pp. 35\u201344."},{"key":"8008_CR15","series-title":"International Series of Numerical Mathematics","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1007\/978-3-0348-5979-0_13","volume-title":"Spline Functions and Approximation Theory, Proc. of Sympos.","author":"I.J. Schoenberg","year":"1973","unstructured":"I.J. Schoenberg, Splines and histogram, in: Spline Functions and Approximation Theory, Proc. of Sympos., Univ. of Alberta, Edmonton Alta, 1972, International Series of Numerical Mathematics, Vol. 21 (Birkh\u00e4user, Basel, 1973) pp. 277\u2013327."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-004-8008-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-004-8008-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-004-8008-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T17:08:08Z","timestamp":1559149688000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-004-8008-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,8,10]]},"references-count":15,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2007,2,26]]}},"alternative-id":["8008"],"URL":"https:\/\/doi.org\/10.1007\/s10444-004-8008-2","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,8,10]]}}}