{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,28]],"date-time":"2026-01-28T07:36:50Z","timestamp":1769585810051,"version":"3.49.0"},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2014,11,5]],"date-time":"2014-11-05T00:00:00Z","timestamp":1415145600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2015,6]]},"DOI":"10.1007\/s10444-014-9384-x","type":"journal-article","created":{"date-parts":[[2014,11,4]],"date-time":"2014-11-04T16:24:11Z","timestamp":1415118251000},"page":"709-726","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["An anisotropic directional subdivision and multiresolution scheme"],"prefix":"10.1007","volume":"41","author":[{"given":"Mariantonia","family":"Cotronei","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Daniele","family":"Ghisi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Milvia","family":"Rossini","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tomas","family":"Sauer","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,11,5]]},"reference":[{"key":"9384_CR1","doi-asserted-by":"crossref","first-page":"559","DOI":"10.1016\/j.jat.2009.08.008","volume":"162","author":"C Conti","year":"2010","unstructured":"Conti, C., Cotronei, M., Sauer, T.: Full rank interpolatory subdivision: a first encounter with the multivariate realm. J. Approx. Theor. 162, 559\u2013575 (2010)","journal-title":"J. Approx. Theor."},{"issue":"4","key":"9384_CR2","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1016\/j.jat.2010.11.002","volume":"163","author":"C Conti","year":"2011","unstructured":"Conti, C., Hormann, K.: Polynomial reproduction for univariate subdivision schemes of any arity. J. Approx. Theory 163(4), 413\u2013437 (2011)","journal-title":"J. Approx. Theory"},{"key":"9384_CR3","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1006\/acha.1999.0267","volume":"7","author":"J Derado","year":"1999","unstructured":"Derado, J.: Multivariate refinable interpolating functions. Appl. Comp. Harm. Anal. 7, 165\u2013183 (1999)","journal-title":"Appl. Comp. Harm. Anal."},{"key":"9384_CR4","unstructured":"Hamming, R. W.: Digital filters, Prentice-Hall (1989)"},{"key":"9384_CR5","unstructured":"H\u00e4user, S.: Fast Finite Shearlet Transform: a tutorial, University of Kaiserslautern, http:\/\/www.mathematik.uni-kl.de\/imagepro\/members\/haeuser\/ffst\/"},{"key":"9384_CR6","doi-asserted-by":"crossref","first-page":"713","DOI":"10.1512\/iumj.1981.30.30055","volume":"30","author":"JE Hutchinson","year":"1981","unstructured":"Hutchinson, J. E.: Fractals and self similarity. Indiana Univ. Math. J. 30, 713\u2013747 (1981)","journal-title":"Indiana Univ. Math. J."},{"issue":"2","key":"9384_CR7","doi-asserted-by":"crossref","first-page":"533","DOI":"10.1109\/18.119722","volume":"38","author":"J Kova\u010devi\u0107","year":"1992","unstructured":"Kova\u010devi\u0107, J., Vetterli, M.: Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for R n . IEEE Trans. Inform. Th. 38(2), 533\u2013555 (1992)","journal-title":"IEEE Trans. Inform. Th."},{"key":"9384_CR8","doi-asserted-by":"crossref","unstructured":"Kutyniok, G., Labate, D. (eds.): Shearlets. Springer (2011)","DOI":"10.1007\/978-0-8176-8316-0"},{"key":"9384_CR9","unstructured":"Kutyniok, G., Lim, W.Q., Reisenhofer, R.: ShearLab 3D - Faithful digital shearlet transform with compactly supported shearlets, preprint available at arXiv: 1402.5670 (2014)"},{"key":"9384_CR10","doi-asserted-by":"crossref","first-page":"1436","DOI":"10.1137\/08072276X","volume":"41","author":"G Kutyniok","year":"2009","unstructured":"Kutyniok, G., Sauer, T.: Adaptive directional subdivision schemes and shearlet multiresolution analysis. SIAM J. Math. Anal. 41, 1436\u20131471 (2009)","journal-title":"SIAM J. Math. Anal."},{"issue":"4","key":"9384_CR11","doi-asserted-by":"crossref","first-page":"1291","DOI":"10.1137\/110854497","volume":"5","author":"G Kutyniok","year":"2012","unstructured":"Kutyniok, G., Shahram, M., Zhuang, X.: ShearLab: A rational design of a digital parabolic scaling algorithm. SIAM J. Imaging Sci. 5(4), 1291\u20131332 (2012)","journal-title":"SIAM J. Imaging Sci."},{"key":"9384_CR12","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1007\/PL00004397","volume":"227","author":"V Latour","year":"1998","unstructured":"Latour, V., M\u00fcller, J., Nickel, W.: Stationary subdivision for general scaling matrices. Math. Z. 227, 645\u2013661 (1998)","journal-title":"Math. Z."},{"key":"9384_CR13","unstructured":"Marcus, M., Minc, H.: A survey of matrix theory and matrix inequalities, Prindle, Weber & Schmidt (1969)"},{"key":"9384_CR14","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1006\/jabr.1995.1349","volume":"178","author":"H Park","year":"1995","unstructured":"Park, H., Woodburn, C.: An algorithmic proof of Suslin\u2019s stability theorem for polynomial rings. J. Algebra 178, 277\u2013298 (1995)","journal-title":"J. Algebra"},{"key":"9384_CR15","first-page":"257","volume":"96","author":"T Sauer","year":"2002","unstructured":"Sauer, T.: Stationary vector subdivision \u2013 quotient ideals, differences and approximation power. Rev. R. Acad. Cien. Serie A. Mat. 96, 257\u2013277 (2002)","journal-title":"Rev. R. Acad. Cien. Serie A. Mat."},{"key":"9384_CR16","first-page":"612","volume-title":"Curves and Surfaces 2011, Lecture Notes in Computer Science 6920","author":"T Sauer","year":"2011","unstructured":"Sauer, T.: Multiple subdivision. In: Boissonnat, J.-D., et al. (eds.) Curves and Surfaces 2011, Lecture Notes in Computer Science 6920, pp 612\u2013628. Springer, Berlin (2011)"},{"key":"9384_CR17","doi-asserted-by":"crossref","unstructured":"Sauer, T.: Shearlet Multiresolution and Multiple Refinement. In: Kutyniok, G., Labate, D. (eds.) Shearlets, Springer (2011)","DOI":"10.1007\/978-0-8176-8316-0_6"},{"key":"9384_CR18","doi-asserted-by":"crossref","unstructured":"Strang, G., Nguyen, T.: Wavelets and Filter Banks, Wellesley\u2013Cambridge Press (1996)","DOI":"10.1093\/oso\/9780195094237.003.0002"},{"key":"9384_CR19","unstructured":"Vetterli, M., Kova\u010devi\u0107, J.: Wavelets and subband coding, Prentice Hall (1995)"}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-014-9384-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-014-9384-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-014-9384-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,4]],"date-time":"2024-06-04T18:07:47Z","timestamp":1717524467000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-014-9384-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,11,5]]},"references-count":19,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2015,6]]}},"alternative-id":["9384"],"URL":"https:\/\/doi.org\/10.1007\/s10444-014-9384-x","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,11,5]]}}}