{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T15:52:13Z","timestamp":1725465133001},"publisher-location":"Berlin\/Heidelberg","reference-count":19,"publisher":"Springer-Verlag","isbn-type":[{"type":"print","value":"3540214623"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/3-540-26808-1_21","type":"book-chapter","created":{"date-parts":[[2005,11,2]],"date-time":"2005-11-02T02:17:17Z","timestamp":1130897837000},"page":"369-390","source":"Crossref","is-referenced-by-count":2,"title":["Periodic and Spline Multiresolution Analysis and the Lifting Scheme"],"prefix":"10.1007","author":[{"given":"J\u00fcrgen","family":"Prestin","sequence":"first","affiliation":[]},{"given":"Ewald","family":"Quak","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"21_CR1","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1006\/acha.1996.0012","volume":"3","author":"J.M. Carnicer","year":"1996","unstructured":"Carnicer, J.M., Dahmen, W., Pena, J.M.: Local decomposition of refinable spaces and wavelets. Appl. Comput. Harmon. Anal., 3, 127\u2013153 (1996).","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"21_CR2","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1007\/BF01198002","volume":"9","author":"C.K. Chui","year":"1993","unstructured":"Chui, C.K., Mhaskar, H.N.: On trigonometric wavelets. Constr. Approx., 9, 167\u2013190 (1993).","journal-title":"Constr. Approx."},{"key":"21_CR3","doi-asserted-by":"crossref","first-page":"485","DOI":"10.1002\/cpa.3160450502","volume":"45","author":"A. Cohen","year":"1992","unstructured":"Cohen, A., Daubechies, I., Feauveau, J.-C.: Biorthogonal bases of compactly supported wavelets. Commun. Pure Appl. Math., 45, 485\u2013560 (1992).","journal-title":"Commun. Pure Appl. Math."},{"key":"21_CR4","doi-asserted-by":"publisher","first-page":"132","DOI":"10.1006\/acha.1998.0247","volume":"6","author":"W. Dahmen","year":"1999","unstructured":"Dahmen, W., Kunoth, A., Urban, K.: Biorthogonal spline wavelets on the interval \u2014 stability and moment conditions. Appl. Comput. Harmon. Anal., 6, 132\u2013196 (1999).","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"21_CR5","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1007\/BF01198006","volume":"9","author":"W. Dahmen","year":"1993","unstructured":"Dahmen, W., Micchelli, C.A.: Banded matrices with banded inverses. II: Locally finite decomposition of spline spaces. Constr. Approx., 9, 263\u2013281 (1993).","journal-title":"Constr. Approx."},{"key":"21_CR6","doi-asserted-by":"publisher","first-page":"184","DOI":"10.1137\/S0036141098333451","volume":"31","author":"W. Dahmen","year":"1999","unstructured":"Dahmen, W., Schneider, R.: Wavelets on manifolds. I: Construction and domain decomposition. SIAM J. Math. Anal., 31, 184\u2013230 (1999).","journal-title":"SIAM J. Math. Anal."},{"key":"21_CR7","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1007\/BF02476026","volume":"4","author":"I. Daubechies","year":"1998","unstructured":"Daubechies, I., Sweldens, W.: Factoring wavelet transforms into lifting steps. J. Fourier Anal. Appl., 4, 247\u2013269 (1998).","journal-title":"J. Fourier Anal. Appl."},{"key":"21_CR8","doi-asserted-by":"publisher","first-page":"201","DOI":"10.1006\/acha.1995.1014","volume":"2","author":"Y.W. Koh","year":"1995","unstructured":"Koh, Y.W., Lee, S.L., Tan, H.H. Periodic orthogonal splines and wavelets. Appl. Comput. Harmonic Anal., 2, 201\u2013218 (1995).","journal-title":"Appl. Comput. Harmonic Anal."},{"key":"21_CR9","doi-asserted-by":"crossref","unstructured":"Lyche, T., M\u00f8rken, K., Quak, E.: Theory and algorithms for nonuniform spline wavelets. In: Dyn, N., Leviatan, D., Levin, D., and Pinkus, A., (eds.), Multivariate approximation and applications, Cambridge University Press, 152\u2013187 (2001).","DOI":"10.1017\/CBO9780511569616.007"},{"key":"21_CR10","doi-asserted-by":"publisher","first-page":"749","DOI":"10.1142\/S0218202596000328","volume":"6","author":"R. Masson","year":"1996","unstructured":"Masson, R.: Biorthogonal spline wavelets on the interval for the resolution of boundary problems. Math. Models Methods Appl. Sci., 6, 749\u2013791 (1996).","journal-title":"Math. Models Methods Appl. Sci."},{"key":"21_CR11","doi-asserted-by":"publisher","first-page":"40","DOI":"10.1006\/acha.1996.0003","volume":"3","author":"F.J. Narcowich","year":"1996","unstructured":"Narcowich, F.J., Ward, J.D.: Wavelets associated with periodic basis functions. Appl. Comput. Harmon. Anal., 3, 40\u201356 (1996).","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"21_CR12","first-page":"137","volume-title":"Wavelets: Theory, Algorithms, and Applications","author":"G. Plonka","year":"1994","unstructured":"Plonka, G., Tasche, M.: A unified approach to periodic wavelets. In: Chui, C.K., Montefusco, L., and Puccio, L. (eds.), Wavelets: Theory, Algorithms, and Applications, Academic Press, New York, 137\u2013151 (1994)."},{"key":"21_CR13","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1006\/acha.1995.1001","volume":"2","author":"G. Plonka","year":"1995","unstructured":"Plonka, G., Tasche, M.: On the computation of periodic spline wavelets. Appl. Comput. Harmon. Anal., 2, 1\u201314 (1995).","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"21_CR14","doi-asserted-by":"publisher","first-page":"293","DOI":"10.1007\/BF02141593","volume":"9","author":"J. Prestin","year":"1995","unstructured":"Prestin, J., Quak, E.: Trigonometric interpolation and wavelet decompositions. Num. Alg., 9, 293\u2013317 (1995).","journal-title":"Num. Alg."},{"key":"21_CR15","doi-asserted-by":"crossref","unstructured":"Quak, E.: Nonuniform B-splines and B-wavelets. In: Iske, A., Quak, E., Floater M. S., (eds.), Tutorials on Multiresolution in Geometric Modelling, Springer, 101\u2013146 (2002).","DOI":"10.1007\/978-3-662-04388-2_6"},{"key":"21_CR16","doi-asserted-by":"crossref","unstructured":"Schneider, R.: Multiskalenund Wavelet-Matrixkompression. Analysisbasierte Methoden zur effizienten L\u00f6sung gro\u00dfer vollbesetzter Gleichungssysteme. Advances in Numerical Mathematics. B. G. Teubner Stuttgart (1998).","DOI":"10.1007\/978-3-663-10851-1"},{"key":"21_CR17","unstructured":"Selig, K.: Periodische Wavelet-Packets und eine gradoptimale Schauderbasis. PhD thesis, Universit\u00e4t Rostock, Germany, Shaker Verlag, Aachen (1998)."},{"key":"21_CR18","doi-asserted-by":"crossref","unstructured":"Sweldens, W., Schr\u00f6der, P.: Building your own wavelets at home. Wavelets in Computer Graphics, ACM SIGGRAPH Course Notes (1996).","DOI":"10.1109\/5.488703"},{"key":"21_CR19","doi-asserted-by":"publisher","first-page":"186","DOI":"10.1006\/acha.1996.0015","volume":"3","author":"W. Sweldens","year":"1996","unstructured":"Sweldens, W.: The lifting scheme: A custom-design construction of biorthogonal wavelets. Appl. Comput. Harmon. Anal., 3, 186\u2013200 (1996).","journal-title":"Appl. Comput. Harmon. Anal."}],"container-title":["Mathematics and Visualization","Advances in Multiresolution for Geometric Modelling"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-26808-1_21.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,19]],"date-time":"2021-07-19T01:01:38Z","timestamp":1626656498000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-26808-1_21"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["3540214623"],"references-count":19,"URL":"https:\/\/doi.org\/10.1007\/3-540-26808-1_21","relation":{},"subject":[]}}