{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:45:31Z","timestamp":1740123931401,"version":"3.37.3"},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"5-6","license":[{"start":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T00:00:00Z","timestamp":1574985600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T00:00:00Z","timestamp":1574985600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["1720487"],"award-info":[{"award-number":["1720487"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"name":"National Science Foundation","award":["1720452"],"award-info":[{"award-number":["1720452"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2019,12]]},"DOI":"10.1007\/s10444-019-09736-3","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T15:03:14Z","timestamp":1575039794000},"page":"3241-3264","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Smooth projections and the construction of smooth Parseval frames of shearlets"],"prefix":"10.1007","volume":"45","author":[{"given":"Bernhard G.","family":"Bodmann","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9718-789X","authenticated-orcid":false,"given":"Demetrio","family":"Labate","sequence":"additional","affiliation":[]},{"given":"Basanta R.","family":"Pahari","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,11,29]]},"reference":[{"key":"9736_CR1","doi-asserted-by":"crossref","unstructured":"Auscher, P., Weiss, G., Wickerhauser, M.V.: Local Sine and Cosine Bases of Coifman and Meyer and the Construction of Smooth Wavelets, Wavelets, 237-256. In: Wavelet Anal. Appl., p 2. Academic Press, Boston (1992)","DOI":"10.1016\/B978-0-12-174590-5.50014-9"},{"key":"9736_CR2","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/j.acha.2014.03.006","volume":"38","author":"BG Bodmann","year":"2015","unstructured":"Bodmann, B.G., Kutyniok, G., Zhuang, X.: Gabor shearlets. Appl. Comput. Harmon. Anal. 38, 87\u2013114 (2015)","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"9736_CR3","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1007\/s00365-014-9271-1","volume":"41","author":"M Bownik","year":"2015","unstructured":"Bownik, M., Dziedziul, K.: Smooth orthogonal projections on sphere. Const. Approx. 41, 23\u201348 (2015)","journal-title":"Const. Approx."},{"key":"9736_CR4","unstructured":"Bownik, M., Dziedziul, K., Kamont, A.: Smooth orthogonal projections on Riemannian manifold. arXiv:1803.03634 (2018)"},{"key":"9736_CR5","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1002\/cpa.10116","volume":"57","author":"EJ Cand\u00e8s","year":"2004","unstructured":"Cand\u00e8s, E.J., Donoho, D.L.: New tight frames of curvelets and optimal representations of objects with c 2 singularities. Comm. Pure Appl. Math. 57, 219\u2013266 (2004)","journal-title":"Comm. Pure Appl. Math."},{"issue":"3","key":"9736_CR6","first-page":"259","volume":"312","author":"R Coifman","year":"1991","unstructured":"Coifman, R., Meyer, Y.: Remarques sur l\u2019analyse de Fourier a fenetre. C. R. Acad. Sci. Paris Ser. I Math. 312(3), 259\u2013261 (1991)","journal-title":"C. R. Acad. Sci. Paris Ser. I Math."},{"key":"9736_CR7","doi-asserted-by":"crossref","unstructured":"Daubechies, I.: Ten Lectures on Wavelets, Society for Industrial and Applied Mathematics (1992)","DOI":"10.1137\/1.9781611970104"},{"key":"9736_CR8","doi-asserted-by":"publisher","first-page":"51","DOI":"10.1017\/S0962492900002816","volume":"7","author":"Ronald A. DeVore","year":"1998","unstructured":"DeVore, R.A.: Nonlinear approximation. Acta Numerica, 51\u2013150 (1998)","journal-title":"Acta Numerica"},{"issue":"2","key":"9736_CR9","doi-asserted-by":"publisher","first-page":"299","DOI":"10.1007\/s10208-013-9170-z","volume":"14","author":"P Grohs","year":"2014","unstructured":"Grohs, P., Kutyniok, G.: Parabolic molecules. Found. Comput. Math. 14 (2), 299\u2013337 (2014)","journal-title":"Found. Comput. Math."},{"key":"9736_CR10","doi-asserted-by":"publisher","first-page":"298","DOI":"10.1137\/060649781","volume":"9","author":"K Guo","year":"2007","unstructured":"Guo, K., Labate, D.: Optimally sparse multidimensional representation using shearlets. SIAM J. Math. Anal. 9, 298\u2013318 (2007)","journal-title":"SIAM J. Math. Anal."},{"key":"9736_CR11","doi-asserted-by":"publisher","first-page":"327","DOI":"10.1007\/s00041-008-9018-0","volume":"14","author":"K Guo","year":"2008","unstructured":"Guo, K., Labate, D.: Representation of Fourier integral operators using shearlets. J. Fourier Anal. Appl. 14, 327\u2013371 (2008)","journal-title":"J. Fourier Anal. Appl."},{"key":"9736_CR12","doi-asserted-by":"publisher","first-page":"851","DOI":"10.1137\/100813397","volume":"44","author":"K Guo","year":"2012","unstructured":"Guo, K., Labate, D.: Optimally sparse representations of 3D data with C2 surface singularities using Parseval frames of shearlets. SIAM J Math. Anal. 44, 851\u2013886 (2012)","journal-title":"SIAM J Math. Anal."},{"key":"9736_CR13","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1051\/mmnp\/20138106","volume":"8","author":"K Guo","year":"2013","unstructured":"Guo, K., Labate, D.: The construction of smooth parseval frames of shearlets. Math. Model. Nat. Phenom. 8, 82\u2013105 (2013)","journal-title":"Math. Model. Nat. Phenom."},{"issue":"2","key":"9736_CR14","doi-asserted-by":"publisher","first-page":"300","DOI":"10.1016\/j.acha.2014.09.005","volume":"39","author":"B Han","year":"2015","unstructured":"Han, B., Zhuang, X.: Smooth affine shear tight frames with MRA structures. Appl. Comput. Harmon. Anal. 39(2), 300\u2013338 (2015)","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"9736_CR15","unstructured":"Hernandez, E., Weiss, G.: A First Course on Wavelets, CRC Press (2000)"},{"key":"9736_CR16","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1007\/s10851-013-0422-y","volume":"48","author":"EJ King","year":"2014","unstructured":"King, E.J., Kutyniok, G., Zhuang, X.: Analysis of inpainting via clustered sparsity and microlocal analysis. J. Math. Imag. Visi. 48, 205\u2013234 (2014)","journal-title":"J. Math. Imag. Visi."},{"issue":"2","key":"9736_CR17","first-page":"299","volume":"14","author":"P Grohs","year":"2014","unstructured":"Grohs, P., Kutyniok, G.: Parabolic molecules, found. Comput. Math. 14 (2), 299\u2013337 (2014)","journal-title":"Comput. Math."},{"key":"9736_CR18","first-page":"1","volume":"1","author":"G Kutyniok","year":"2007","unstructured":"Kutyniok, G., Labate, D.: Construction of regular and irregular shearlet frames. J. Wavelet Theory Appl. 1, 1\u201310 (2007)","journal-title":"J. Wavelet Theory Appl."},{"key":"9736_CR19","doi-asserted-by":"crossref","unstructured":"Kutyniok, G., Labate, D.: Shearlets: multiscale analysis for multivariate data, Birkh\u00e4user (2012)","DOI":"10.1007\/978-0-8176-8316-0"},{"key":"9736_CR20","doi-asserted-by":"crossref","unstructured":"Kutyniok, G., Labate, D.: Introduction to shearlets, in shearlets: multiscale analysis for multivariate data, Birkh\u00e4,user, p. 1\u201338 (2012)","DOI":"10.1007\/978-0-8176-8316-0_1"},{"issue":"11","key":"9736_CR21","doi-asserted-by":"publisher","first-page":"1564","DOI":"10.1016\/j.jat.2011.06.005","volume":"163","author":"G Kutyniok","year":"2011","unstructured":"Kutyniok, G., Lim, W.: Compactly supported shearlets are optimally sparse. Journal of Approximation Theory 163(11), 1564\u20131589 (2011)","journal-title":"Journal of Approximation Theory"},{"key":"9736_CR22","doi-asserted-by":"crossref","unstructured":"Labate, D., Lim, W., Kutyniok, G., Weiss, G.: Sparse multidimensional representation using shearlets, Proc. SPIE 5914 Wavelets XI (2005)","DOI":"10.1117\/12.613494"},{"issue":"1","key":"9736_CR23","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1109\/79.974718","volume":"19","author":"D Landgrebe","year":"2002","unstructured":"Landgrebe, D.: Hyperspectral image data analysis. IEEE Signal Process. Mag. 19(1), 17\u201328 (2002)","journal-title":"IEEE Signal Process. Mag."},{"issue":"2","key":"9736_CR24","doi-asserted-by":"crossref","first-page":"717","DOI":"10.1016\/j.amc.2004.11.025","volume":"172","author":"T Lin","year":"2006","unstructured":"Lin, T., Xu, S., Shi, Q., Haoa, P: An algebraic construction of orthonormal M-band wavelets with perfect reconstruction. Appl. Math. Comput. 172(2), 717\u2013730 (2006)","journal-title":"Appl. Math. Comput."},{"key":"9736_CR25","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1007\/s00365-011-9142-y","volume":"35","author":"K Pisamai","year":"2012","unstructured":"Pisamai, K., Kutyniok, G., Lim, W.: Construction of compactly supported shearlet frames. Const. Approx. 35, 21\u201372 (2012)","journal-title":"Const. Approx."},{"issue":"8","key":"9736_CR26","doi-asserted-by":"publisher","first-page":"4355","DOI":"10.1109\/TGRS.2017.2691607","volume":"55","author":"S Prasad","year":"2017","unstructured":"Prasad, S., Labate, D., Cui, M., Zhang, Y.: Morphologically decoupled multi-scale sparse representation for hyperspectral image analysis. IEEE Trans. Geosci. Remote Sens. 55(8), 4355\u20134366 (2017)","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"9736_CR27","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1016\/j.jat.2016.10.003","volume":"213","author":"D Vera","year":"2017","unstructured":"Vera, D.: Democracy of shearlet frames with applications. Journal of Approximation Theory 213, 23\u201349 (2017)","journal-title":"Journal of Approximation Theory"}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-019-09736-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-019-09736-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-019-09736-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,2,9]],"date-time":"2021-02-09T17:33:07Z","timestamp":1612891987000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-019-09736-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,11,29]]},"references-count":27,"journal-issue":{"issue":"5-6","published-print":{"date-parts":[[2019,12]]}},"alternative-id":["9736"],"URL":"https:\/\/doi.org\/10.1007\/s10444-019-09736-3","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"type":"print","value":"1019-7168"},{"type":"electronic","value":"1572-9044"}],"subject":[],"published":{"date-parts":[[2019,11,29]]},"assertion":[{"value":"20 January 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 October 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 November 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}