{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,6]],"date-time":"2024-08-06T09:58:37Z","timestamp":1722938317785},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2010,6,3]],"date-time":"2010-06-03T00:00:00Z","timestamp":1275523200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Found Comput Math"],"published-print":{"date-parts":[[2010,10]]},"DOI":"10.1007\/s10208-010-9070-4","type":"journal-article","created":{"date-parts":[[2010,6,2]],"date-time":"2010-06-02T17:40:36Z","timestamp":1275500436000},"page":"569-613","source":"Crossref","is-referenced-by-count":9,"title":["Scattering in Flatland: Efficient Representations via\u00a0Wave Atoms"],"prefix":"10.1007","volume":"10","author":[{"given":"Laurent","family":"Demanet","sequence":"first","affiliation":[]},{"given":"Lexing","family":"Ying","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2010,6,3]]},"reference":[{"key":"9070_CR1","volume-title":"Flatland: A Romance in Many Dimensions","author":"E. Abbott","year":"1992","unstructured":"E. Abbott, Flatland: A Romance in Many Dimensions, 3rd edn. (Dover, New York, 1992) (1884).","edition":"3"},{"key":"9070_CR2","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/0165-1684(96)00065-5","volume":"52","author":"J.P. Antoine","year":"1996","unstructured":"J.P. Antoine, R. Murenzi, Two-dimensional directional wavelets and the scale-angle representation, Signal Process. 52, 259\u2013281 (1996).","journal-title":"Signal Process."},{"issue":"1","key":"9070_CR3","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1006\/acha.2000.0305","volume":"9","author":"A. Averbuch","year":"2000","unstructured":"A. Averbuch, E. Braverman, R. Coifman, M. Israeli, A. Sidi, Efficient computation of oscillatory integrals via adaptive multiscale local Fourier bases, Appl. Comput. Harmon. Anal. 9(1), 19\u201353 (2000).","journal-title":"Appl. Comput. Harmon. Anal."},{"issue":"2","key":"9070_CR4","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1002\/cpa.3160440202","volume":"44","author":"G. Beylkin","year":"1991","unstructured":"G. Beylkin, R. Coifman, V. Rokhlin, Fast wavelet transforms and numerical algorithms. I, Commun. Pure Appl. Math. 44(2), 141\u2013183 (1991).","journal-title":"Commun. Pure Appl. Math."},{"key":"9070_CR5","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1006\/acha.1993.1007","volume":"1","author":"B. Bradie","year":"1993","unstructured":"B. Bradie, R. Coifman, A. Grossmann, Fast numerical computations of oscillatory integrals related to acoustic scattering, Appl. Comput. Harmon. Anal. 1, 94\u201399 (1993).","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"9070_CR6","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1002\/cpa.10116","volume":"57","author":"E.J. Cand\u00e8s","year":"2004","unstructured":"E.J. Cand\u00e8s, D.L. Donoho, New tight frames of curvelets and optimal representations of objects with piecewise-C 2 singularities, Commun. Pure Appl. Math. 57, 219\u2013266 (2004).","journal-title":"Commun. Pure Appl. Math."},{"key":"9070_CR7","doi-asserted-by":"crossref","first-page":"300","DOI":"10.1016\/j.jcp.2005.12.001","volume":"216","author":"H. Cheng","year":"2006","unstructured":"H. Cheng, W.Y. Crutchfield, Z. Gimbutas, L.F. Greengard, J.F. Ethridge, J. Huang, V. Rokhlin, N.\u00a0Yarvin, J. Zhao, A wideband fast multipole method for the Helmholtz equation in three dimensions, J. Comput. Phys. 216, 300\u2013325 (2006).","journal-title":"J. Comput. Phys."},{"issue":"11","key":"9070_CR8","doi-asserted-by":"crossref","first-page":"979","DOI":"10.1080\/03605307808820083","volume":"3","author":"A. C\u00f3rdoba","year":"1978","unstructured":"A. C\u00f3rdoba, C. Fefferman, Wave packets and Fourier integral operators, Commun. PDE 3(11), 979\u20131005 (1978).","journal-title":"Commun. PDE"},{"key":"9070_CR9","doi-asserted-by":"crossref","unstructured":"L. Demanet, L. Ying, Curvelets and wave atoms for mirror-extended images, in Proc. SPIE Wavelets XII Conf., 2007.","DOI":"10.1117\/12.733257"},{"issue":"3","key":"9070_CR10","doi-asserted-by":"crossref","first-page":"368","DOI":"10.1016\/j.acha.2007.03.003","volume":"23","author":"L. Demanet","year":"2007","unstructured":"L. Demanet, L. Ying, Wave atoms and sparsity of oscillatory patterns, Appl. Comput. Harmon. Anal. 23(3), 368\u2013387 (2007).","journal-title":"Appl. Comput. Harmon. Anal."},{"issue":"4","key":"9070_CR11","doi-asserted-by":"crossref","first-page":"674","DOI":"10.1109\/8.768807","volume":"47","author":"H. Deng","year":"1999","unstructured":"H. Deng, H. Ling, Fast solution of electromagnetic integral equations using adaptive wavelet packet transform, IEEE Trans. Antennas Propag. 47(4), 674\u2013682 (1999).","journal-title":"IEEE Trans. Antennas Propag."},{"issue":"12","key":"9070_CR12","first-page":"1772\u20131779","volume":"47","author":"H. Deng","year":"1999","unstructured":"H. Deng, H. Ling, On a class of predefined wavelet packet bases for efficient representation of electromagnetic integral equations, IEEE Trans. Antennas Propag. 47(12), 1772\u20131779 (1999).","journal-title":"IEEE Trans. Antennas Propag."},{"issue":"4","key":"9070_CR13","doi-asserted-by":"crossref","first-page":"1710","DOI":"10.1137\/07068583X","volume":"29","author":"B. Engquist","year":"2007","unstructured":"B. Engquist, L. Ying, Fast directional multilevel algorithms for oscillatory kernels, SIAM J. Sci. Comput. 29(4), 1710\u20131737 (2007).","journal-title":"SIAM J. Sci. Comput."},{"issue":"2","key":"9070_CR14","doi-asserted-by":"crossref","first-page":"327","DOI":"10.4310\/CMS.2009.v7.n2.a3","volume":"7","author":"B. Engquist","year":"2009","unstructured":"B. Engquist, L. Ying, Fast directional computation for the high frequency Helmholtz kernel in two dimensions, Commun. Math. Sci. 7(2), 327\u2013345 (2009).","journal-title":"Commun. Math. Sci."},{"issue":"5","key":"9070_CR15","doi-asserted-by":"crossref","first-page":"618","DOI":"10.1109\/8.668902","volume":"46","author":"W.L. Golik","year":"1998","unstructured":"W.L. Golik, Wavelet packets for fast solution of electromagnetic integral equations, IEEE Trans. Antennas Propag. 46(5), 618\u2013624 (1998).","journal-title":"IEEE Trans. Antennas Propag."},{"issue":"1","key":"9070_CR16","doi-asserted-by":"crossref","first-page":"218","DOI":"10.1016\/j.cam.2005.11.001","volume":"197","author":"D. Huybrechs","year":"2006","unstructured":"D. Huybrechs, S. Vandewalle, A two-dimensional wavelet-packet transform for matrix compression of integral equations with highly oscillatory kernel, J. Comput. Appl. Math. 197(1), 218\u2013232 (2006).","journal-title":"J. Comput. Appl. Math."},{"key":"9070_CR17","doi-asserted-by":"crossref","first-page":"1331","DOI":"10.1137\/S0036142995287847","volume":"34","author":"S. Kapur","year":"1997","unstructured":"S. Kapur, V. Rokhlin, High-order corrected trapezoidal quadrature rules for singular functions, SIAM J. Numer. Anal. 34, 1331\u20131356 (1997).","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"9070_CR18","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1093\/qjmam\/38.2.323","volume":"38","author":"R. Kress","year":"1985","unstructured":"R. Kress, Minimizing the condition number of boundary integral operators in acoustic and electromagnetic scattering, Q. J. Mech. Appl. Math. 38(2), 323\u2013341 (1985).","journal-title":"Q. J. Mech. Appl. Math."},{"key":"9070_CR19","volume-title":"A Wavelet Tour of Signal Processing","author":"S. Mallat","year":"1999","unstructured":"S. Mallat, A Wavelet Tour of Signal Processing, 2nd edn. (Academic Press, Orlando-San Diego, 1999).","edition":"2"},{"key":"9070_CR20","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1006\/acha.1997.0208","volume":"4","author":"F.G. Meyer","year":"1997","unstructured":"F.G. Meyer, R.R. Coifman, Brushlets: a tool for directional image analysis and image compression, Appl. Comput. Harmon. Anal. 4, 147\u2013187 (1997).","journal-title":"Appl. Comput. Harmon. Anal."},{"issue":"2","key":"9070_CR21","doi-asserted-by":"crossref","first-page":"414","DOI":"10.1016\/0021-9991(90)90107-C","volume":"86","author":"V. Rokhlin","year":"1990","unstructured":"V. Rokhlin, Rapid solution of integral equations of scattering theory in two dimensions, J. Comput. Phys. 86(2), 414\u2013439 (1990).","journal-title":"J. Comput. Phys."},{"key":"9070_CR22","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1006\/acha.1993.1006","volume":"1","author":"V. Rokhlin","year":"1993","unstructured":"V. Rokhlin, Diagonal forms of translation operators for the Helmholtz equation in three dimensions, Appl. Comput. Harmon. Anal. 1, 82\u201393 (1993).","journal-title":"Appl. Comput. Harmon. Anal."},{"issue":"10","key":"9070_CR23","doi-asserted-by":"crossref","first-page":"793","DOI":"10.1016\/S1631-073X(02)02570-0","volume":"335","author":"L. Villemoes","year":"2002","unstructured":"L. Villemoes, Wavelet packets with uniform time-frequency localization, C. R. Math. 335(10), 793\u2013796 (2002).","journal-title":"C. R. Math."},{"key":"9070_CR24","volume-title":"A Treatise on the Theory of Bessel Functions","author":"G.N. Watson","year":"1966","unstructured":"G.N. Watson, A Treatise on the Theory of Bessel Functions, 2nd edn. (Cambridge University Press, Cambridge, 1966).","edition":"2"}],"container-title":["Foundations of Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10208-010-9070-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10208-010-9070-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10208-010-9070-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T11:05:10Z","timestamp":1559127910000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10208-010-9070-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,6,3]]},"references-count":24,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2010,10]]}},"alternative-id":["9070"],"URL":"https:\/\/doi.org\/10.1007\/s10208-010-9070-4","relation":{},"ISSN":["1615-3375","1615-3383"],"issn-type":[{"value":"1615-3375","type":"print"},{"value":"1615-3383","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,6,3]]}}}