{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,7]],"date-time":"2026-02-07T22:37:24Z","timestamp":1770503844574,"version":"3.49.0"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"2-3","license":[{"start":{"date-parts":[[1999,11,1]],"date-time":"1999-11-01T00:00:00Z","timestamp":941414400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[1999,11,1]],"date-time":"1999-11-01T00:00:00Z","timestamp":941414400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Computational Mathematics"],"published-print":{"date-parts":[[1999,11]]},"DOI":"10.1023\/a:1018932227617","type":"journal-article","created":{"date-parts":[[2003,2,19]],"date-time":"2003-02-19T22:07:13Z","timestamp":1045692433000},"page":"253-270","source":"Crossref","is-referenced-by-count":157,"title":["Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration"],"prefix":"10.1007","volume":"11","author":[{"given":"R.K.","family":"Beatson","sequence":"first","affiliation":[]},{"given":"J.B.","family":"Cherrie","sequence":"additional","affiliation":[]},{"given":"C.T.","family":"Mouat","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"325356_CR1","doi-asserted-by":"publisher","first-page":"375","DOI":"10.1016\/0031-3203(93)90045-X","volume":"26","author":"I. Barrodale","year":"1993","unstructured":"I. Barrodale, D. Skea, M. Berkley, R. Kuwahara and R. Poeckert, Warping digital images using thin-plate splines, Pattern Recognition 26 (1993) 375-376.","journal-title":"Pattern Recognition"},{"key":"325356_CR2","doi-asserted-by":"crossref","unstructured":"R.K. Beatson, J.B. Cherrie and G.N. Newsam, Fast evaluation of radial basis functions: Methods for generalised multiquadrics in R\n                  n, Manuscript (1998).","DOI":"10.1137\/S1064827595293569"},{"key":"325356_CR3","first-page":"77","volume":"32","author":"R.K. Beatson","year":"1996","unstructured":"R.K. Beatson, G. Goodsell and M.J.D. Powell, On multigrid techniques for thin plate spline interpolation in two dimensions, in: Lectures in Applied Mathematics, Vol. 32 (1996) 77-97.","journal-title":"Lectures in Applied Mathematics"},{"key":"325356_CR4","doi-asserted-by":"publisher","first-page":"343","DOI":"10.1093\/imanum\/17.3.343","volume":"17","author":"R.K. Beatson","year":"1997","unstructured":"R.K. Beatson and W.A. Light, Fast evaluation of radial basis functions: Methods for 2-dimensional polyharmonic splines, IMA J. Numer. Anal. 17 (1997) 343-372.","journal-title":"IMA J. Numer. Anal."},{"issue":"12","key":"325356_CR5","doi-asserted-by":"publisher","first-page":"7","DOI":"10.1016\/0898-1221(92)90167-G","volume":"24","author":"R.K. Beatson","year":"1992","unstructured":"R.K. Beatson and G.N. Newsam, Fast evaluation of radial basis functions: I, Comput. Math. Appl. 24(12) (1992) 7-19.","journal-title":"Comput. Math. Appl."},{"key":"325356_CR6","volume-title":"Numerical Analysis 1993","author":"R.K. Beatson","year":"1994","unstructured":"R.K. Beatson and M.J.D. Powell, An iterative method for thin-plate spline interpolation that employs approximations to the Lagrange functions, in: Numerical Analysis 1993, eds. D.F. Griffiths and G.A. Watson (Longmans, Harlow, 1994)."},{"key":"325356_CR7","doi-asserted-by":"publisher","first-page":"664","DOI":"10.1007\/BF01733786","volume":"36","author":"S.L. Campbell","year":"1996","unstructured":"S.L. Campbell, I.C.F. Ipsen, C.T. Kelley and C.D. Meyer, GMRES and the minimal polynomial, BIT 36 (1996) 664-675.","journal-title":"BIT"},{"key":"325356_CR8","doi-asserted-by":"publisher","first-page":"96","DOI":"10.1109\/42.552059","volume":"16","author":"J.C. Carr","year":"1997","unstructured":"J.C. Carr, W.R. Fright and R.K. Beatson, Surface interpolation with radial basis functions for medical imaging, IEEE Trans. Medical Imaging 16 (1997) 96-107.","journal-title":"IEEE Trans. Medical Imaging"},{"key":"325356_CR9","doi-asserted-by":"publisher","first-page":"639","DOI":"10.1137\/0907043","volume":"7","author":"N. Dyn","year":"1986","unstructured":"N. Dyn, D. Levin and S. Rippa, Numerical procedures for surface fitting of scattered data by radial functions, SIAM J. Sci. Statist. Comput. 7 (1986) 639-659.","journal-title":"SIAM J. Sci. Statist. Comput."},{"key":"325356_CR10","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1093\/imanum\/10.1.137","volume":"10","author":"N. Dyn","year":"1990","unstructured":"N. Dyn, D. Levin and S. Rippa, Data dependent triangulations for piecewise linear interpolation, IMA J. Numer. Anal. 10 (1990) 137-154.","journal-title":"IMA J. Numer. Anal."},{"key":"325356_CR11","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1016\/0031-3203(92)90005-4","volume":"25","author":"J. Flusser","year":"1992","unstructured":"J. Flusser, An adaptive method for image registration, Pattern Recognition 25 (1992) 45-54.","journal-title":"Pattern Recognition"},{"key":"325356_CR12","doi-asserted-by":"publisher","first-page":"181","DOI":"10.2307\/2007474","volume":"38","author":"R. Franke","year":"1982","unstructured":"R. Franke, Scattered data interpolation: Tests of some methods, Math. Comp. 38 (1982) 181-200.","journal-title":"Math. Comp."},{"key":"325356_CR13","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1016\/0898-1221(90)90272-L","volume":"19","author":"R.L. Hardy","year":"1990","unstructured":"R.L. Hardy, Theory and applications of the multiquadric-biharmonic method, Comput. Math. Appl. 19 (1990) 163-208.","journal-title":"Comput. Math. Appl."},{"key":"325356_CR14","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970944","volume-title":"Iterative Methods for Linear and Non-Linear Equations","author":"C.T. Kelley","year":"1995","unstructured":"C.T. Kelley, Iterative Methods for Linear and Non-Linear Equations (SIAM, Philadelphia, PA, 1995)."},{"key":"325356_CR15","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1007\/BF01893414","volume":"2","author":"C.A. Micchelli","year":"1986","unstructured":"C.A. Micchelli, Interpolation of scattered data: Distance matrices and conditionally positive definite functions, Constr. Approx. 2 (1986) 11-22.","journal-title":"Constr. Approx."},{"key":"325356_CR16","first-page":"105","volume-title":"Advances in Numerical Analysis II: Wavelets, Subdivision Algorithms and Radial Functions","author":"M.J.D. Powell","year":"1992","unstructured":"M.J.D. Powell, The theory of radial basis function approximation in 1990, in: Advances in Numerical Analysis II: Wavelets, Subdivision Algorithms and Radial Functions, ed. W. Light (Oxford University Press, Oxford, 1992) pp. 105-210."},{"key":"325356_CR17","unstructured":"M.J.D. Powell, Some algorithms for thin plate spline interpolation to functions of two variables, in: Advances in Computational Mathematics, New Delhi, India, eds. H.P. Dikshit and C.A. Micchelli (World Scientific, 1994)."},{"key":"325356_CR18","doi-asserted-by":"publisher","first-page":"856","DOI":"10.1137\/0907058","volume":"7","author":"Y. Saad","year":"1986","unstructured":"Y. Saad and M.H. Schultz, GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear equations, SIAM J. Sci. Statist. Comput. 7 (1986) 856-869.","journal-title":"SIAM J. Sci. Statist. Comput."},{"key":"325356_CR19","doi-asserted-by":"publisher","first-page":"1304","DOI":"10.1137\/0912070","volume":"12","author":"R. Sibson","year":"1991","unstructured":"R. Sibson and G. Stone, Computation of thin-plate splines, SIAM J. Sci. Statist. Comput. 12 (1991) 1304-1313.","journal-title":"SIAM J. Sci. Statist. Comput."},{"key":"325356_CR20","doi-asserted-by":"publisher","first-page":"152","DOI":"10.1137\/0909010","volume":"9","author":"H.F. Walker","year":"1988","unstructured":"H.F. Walker, Implementation of the GMRES method using Householder transformations, SIAM J. Sci. Statist. Comput. 9 (1988) 152-163.","journal-title":"SIAM J. Sci. Statist. Comput."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1018932227617.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1018932227617\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1018932227617.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,16]],"date-time":"2025-05-16T23:19:27Z","timestamp":1747437567000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1018932227617"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,11]]},"references-count":20,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[1999,11]]}},"alternative-id":["325356"],"URL":"https:\/\/doi.org\/10.1023\/a:1018932227617","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[1999,11]]}}}