{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,7]],"date-time":"2025-07-07T07:06:31Z","timestamp":1751871991438},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1998,3,1]],"date-time":"1998-03-01T00:00:00Z","timestamp":888710400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computing"],"published-print":{"date-parts":[[1998,3]]},"DOI":"10.1007\/bf02684328","type":"journal-article","created":{"date-parts":[[2007,8,22]],"date-time":"2007-08-22T03:51:56Z","timestamp":1187754716000},"page":"29-53","source":"Crossref","is-referenced-by-count":2,"title":["On computing derivatives forC 1 interpolating schemes: an optimization"],"prefix":"10.1007","volume":"60","author":[{"given":"S.","family":"De Marchi","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"BF02684328_CR1","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1216\/RMJ-1984-14-1-41","volume":"14","author":"H. Akima","year":"1984","unstructured":"Akima, H.: On estimating partial derivatives for bivariate interpolation of scattered data. Rocky Mountain J. Math.14, 41\u201352 (1984).","journal-title":"Rocky Mountain J. Math."},{"key":"BF02684328_CR2","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1016\/S0167-8396(85)80003-0","volume":"2","author":"P. Alfeld","year":"1985","unstructured":"Alfeld, P.: Derivative generation from multivariate scattered data by functional minimization. Comput. Aided Geom. Design2, 281\u2013296 (1985).","journal-title":"Comput. Aided Geom. Design"},{"key":"BF02684328_CR3","doi-asserted-by":"crossref","first-page":"1763","DOI":"10.1002\/nme.1620171203","volume":"17","author":"R. E. Barnhill","year":"1981","unstructured":"Barnhill, R. E., Farin, G.:C 1 quintic interpolation over triangles: Two explicit representations. Int. J. Numer. Methods Eng.17, 1763\u20131778 (1981).","journal-title":"Int. J. Numer. Methods Eng."},{"key":"BF02684328_CR4","doi-asserted-by":"crossref","first-page":"1305","DOI":"10.1137\/0727074","volume":"27","author":"A. K. Cline","year":"1990","unstructured":"Cline, A. K., Renka, R. J.: A constrained two-dimensional triangulation and the solution of closest node problems in the presence of barriers. SIAM J. Numer. Anal.27, 1305\u20131321 (1990).","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02684328_CR5","unstructured":"Clough, R. W., Tocher, J. L.: Finite element stiffness matrices for analysis of plates in bending. In: Conference on Matrix Methods in Structural Mechanics, Ohio, 1965. Wright Patterson A. F. B."},{"key":"BF02684328_CR6","unstructured":"De Marchi, S., Fasoli, D., Morandi Cecchi, M.: On representing the Venice\u2019s lagoon bed by aC 1 interpolating surface. Submitted to BIT."},{"key":"BF02684328_CR7","series-title":"Technical Report","volume-title":"LABSUP: a LAboraty for BivariateC 1 SUrfaces and Patches","author":"S. Marchi De","year":"1996","unstructured":"De Marchi, S., Fasoli, D., Morandi Cecchi, M.: LABSUP: a LAboraty for BivariateC 1 SUrfaces and Patches. Technical Report, 10\/96. University of Padova, Italy, 1996."},{"key":"BF02684328_CR8","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/0167-8396(86)90016-6","volume":"3","author":"G. Farin","year":"1986","unstructured":"Farin, G.: Triangular Bernstein-B\u00e9zier patches. Comput. Aided Geom. Design3, 83\u2013127 (1986).","journal-title":"Comput. Aided Geom. Design"},{"key":"BF02684328_CR9","volume-title":"Curves and surfaces for CAGD. A practical guide","author":"G. Farin","year":"1993","unstructured":"Farin, G.: Curves and surfaces for CAGD. A practical guide, 3rd ed. London: Academic Press, 1993.","edition":"3rd ed."},{"key":"BF02684328_CR10","unstructured":"Fasoli, D.: InterpolazioneC 1 di dati scattered e procedure per la stima delle derivate parziali. Master\u2019s thesis, University of Padova, 1995 (in Italian)."},{"key":"BF02684328_CR11","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/0096-3003(94)00086-J","volume":"68","author":"T. N. T. Goodman","year":"1995","unstructured":"Goodman, T. N. T., Said, H. B., Chang, L. H. T.: Local derivative estimation for scattered data interpolation. Appl. Math. Comp.68, 41\u201350 (1995).","journal-title":"Appl. Math. Comp."},{"key":"BF02684328_CR12","volume-title":"A first course in differential geometry","author":"C. C. Hsiung","year":"1981","unstructured":"Hsiung, C. C.: A first course in differential geometry. New York: John Wiley, 1981."},{"key":"BF02684328_CR13","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1090\/S0025-5718-1983-0679444-7","volume":"40","author":"G. M. Nielson","year":"1983","unstructured":"Nielson, G. M.: A method for interpolating scattered data based upon a minimum norm network. Math. Comp.40, 253\u2013271 (1983).","journal-title":"Math. Comp."},{"key":"BF02684328_CR14","doi-asserted-by":"crossref","first-page":"316","DOI":"10.1145\/355759.355761","volume":"3","author":"M. J. D. Powell","year":"1977","unstructured":"Powell, M. J. D., Sabin, M. A.: Piecewise quadratic approximations on triangles. ACM Trans. Math. Software3, 316\u2013325 (1977).","journal-title":"ACM Trans. Math. Software"},{"key":"BF02684328_CR15","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/0167-8396(90)90037-R","volume":"7","author":"E. Quak","year":"1990","unstructured":"Quak, E., Schumaker, L. L.: Cubic spline fitting using data dependent triangulations. Comput. Aided Geom. Design7, 293\u2013301 (1990).","journal-title":"Comput. Aided Geom. Design"},{"key":"BF02684328_CR16","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1216\/RMJ-1984-14-1-223","volume":"14","author":"R. J. Renka","year":"1984","unstructured":"Renka, R. J., Cline, A. K.: A triangle-basedC 1 interpolation method. Rocky Mountain J. Math.14, 223\u2013237 (1984).","journal-title":"Rocky Mountain J. Math."},{"key":"BF02684328_CR17","volume-title":"Mathematical methods for CAD","author":"J. J. Risler","year":"1992","unstructured":"Risler, J. J.: Mathematical methods for CAD. Cambridge: Cambridge University Press, 1992."},{"key":"BF02684328_CR18","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1016\/B978-0-12-174585-1.50022-1","volume-title":"Topics in multivariate approximation","author":"L. L. Schumaker","year":"1987","unstructured":"Schumaker, L. L.: Triangulation methods. In: Topics in multivariate approximation, (Schumaker, L. L., Chui, C. K., Utreras, F., eds.), pp. 219\u2013273. New York: Academic Press, 1987."},{"key":"BF02684328_CR19","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1216\/RMJ-1984-14-1-265","volume":"14","author":"S. E. Stead","year":"1984","unstructured":"Stead, S. E.: Estimation of gradients from scattered data. Rocky Mountain J. Math.14, 265\u2013279 (1984).","journal-title":"Rocky Mountain J. Math."},{"key":"BF02684328_CR20","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1007\/BF02165119","volume":"15","author":"A. \u017deni\u0161ek","year":"1970","unstructured":"\u017deni\u0161ek, A.: Interpolation polynomials on the triangle. Numer. Math.15, 283\u2013296 (1970).","journal-title":"Numer. Math."}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02684328.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02684328\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02684328","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,18]],"date-time":"2019-05-18T18:22:37Z","timestamp":1558203757000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02684328"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,3]]},"references-count":20,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1998,3]]}},"alternative-id":["BF02684328"],"URL":"https:\/\/doi.org\/10.1007\/bf02684328","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1998,3]]}}}