{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T13:40:25Z","timestamp":1776865225806,"version":"3.51.2"},"publisher-location":"Cham","reference-count":15,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783319678849","type":"print"},{"value":"9783319678856","type":"electronic"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-67885-6_9","type":"book-chapter","created":{"date-parts":[[2017,10,16]],"date-time":"2017-10-16T23:57:46Z","timestamp":1508198266000},"page":"162-185","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["On the Coupling of Decimation Operator with Subdivision Schemes for Multi-scale Analysis"],"prefix":"10.1007","author":[{"given":"Zhiqing","family":"Kui","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jean","family":"Baccou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jacques","family":"Liandrat","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,10,18]]},"reference":[{"issue":"2","key":"9_CR1","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1007\/s10208-004-0122-5","volume":"6","author":"S Amat","year":"2006","unstructured":"Amat, S., Donat, R., Liandrat, J., Trillo, J.: Analysis of a fully nonlinear multiresolution scheme for image processing. Found. Comput. Math. 6(2), 193\u2013225 (2006)","journal-title":"Found. Comput. Math."},{"key":"9_CR2","doi-asserted-by":"publisher","first-page":"198","DOI":"10.1016\/j.acha.2004.12.002","volume":"18","author":"S Amat","year":"2005","unstructured":"Amat, S., Liandrat, J.: On the stability of PPH nonlinear multiresolution. Appl. Comput. Harmon. Anal. 18, 198\u2013206 (2005)","journal-title":"Appl. Comput. Harmon. Anal."},{"issue":"2","key":"9_CR3","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1016\/j.acha.2006.12.002","volume":"23","author":"F Arandiga","year":"2007","unstructured":"Arandiga, F., Baccou, J., Doblas, M., Liandrat, J.: Image compression based on a multi-directional map-dependent algorithm. Appl. and Comp. Harm. Anal. 23(2), 181\u2013197 (2007)","journal-title":"Appl. and Comp. Harm. Anal."},{"key":"9_CR4","doi-asserted-by":"publisher","first-page":"228","DOI":"10.1016\/j.acha.2012.07.008","volume":"35","author":"J Baccou","year":"2013","unstructured":"Baccou, J., Liandrat, J.: Kriging-based interpolatory subdivision schemes. Appl. Comput. Harmon. Anal. 35, 228\u2013250 (2013)","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"9_CR5","doi-asserted-by":"crossref","unstructured":"Cavaretta, A., Dahmen, W., Micchelli, C.: Stationary subdivision. In: Memoirs of the American Mathematics Society, vol. 93, No. 453, Providence, Rhode Island (1991)","DOI":"10.1090\/memo\/0453"},{"issue":"5","key":"9_CR6","first-page":"485","volume":"45","author":"A Cohen","year":"1992","unstructured":"Cohen, A., Daubechies, I., Feauveau, J.C.: Biorthogonal bases of compactly supported wavelets. CPAM 45(5), 485\u2013560 (1992)","journal-title":"CPAM"},{"key":"9_CR7","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1016\/S1063-5203(03)00061-7","volume":"15","author":"A Cohen","year":"2003","unstructured":"Cohen, A., Dyn, N., Matei, B.: Quasilinear subdivision schemes with applications to ENO interpolation. Appl. Comput. Harmon. Anal. 15, 89\u2013116 (2003)","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"9_CR8","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970104","volume-title":"Ten Lectures on Wavelets","author":"I Daubechies","year":"1992","unstructured":"Daubechies, I.: Ten Lectures on Wavelets. SIAM, Philadelphia (1992)"},{"key":"9_CR9","first-page":"73","volume":"2","author":"G Rham De","year":"1947","unstructured":"De Rham, G.: Un peu de math\u00e9matiques \u00e0 propos d\u2019une courbe plane. Elem. Math. 2, 73\u201376 (1947)","journal-title":"Elem. Math."},{"key":"9_CR10","unstructured":"Deslauries, G., Dubuc, S.: Interpolation dyadique. In: Fractals, dimensions non enti\u00e8res at applications, pp. 44\u201355 (1987)"},{"key":"9_CR11","first-page":"36","volume-title":"Advances in Numerical Analysis II, Wavelets, Subdivision Algorithms and Radial Basis Functions","author":"N Dyn","year":"1992","unstructured":"Dyn, N.: Subdivision schemes in computer-aided geometric design. In: Light, W. (ed.) Advances in Numerical Analysis II, Wavelets, Subdivision Algorithms and Radial Basis Functions, pp. 36\u2013104. Clarendon Press, Oxford (1992)"},{"issue":"3","key":"9_CR12","doi-asserted-by":"publisher","first-page":"1205","DOI":"10.1137\/0733060","volume":"33","author":"A Harten","year":"1996","unstructured":"Harten, A.: Multiresolution representation of data: a general framework. SIAM J. Numer. Anal. 33(3), 1205\u20131256 (1996)","journal-title":"SIAM J. Numer. Anal."},{"key":"9_CR13","unstructured":"Kui, Z.: Approximation multiechelle non lineaire et applications en analyse de risques. Ph.D. thesis, Ecole Centrale Marseille, Marseille, France (2018)"},{"key":"9_CR14","first-page":"278","volume":"281","author":"X Si","year":"2016","unstructured":"Si, X., Baccou, J., Liandrat, J.: On four-point penalized lagrange subdivision schemes. Appl. Math. Comput. 281, 278\u2013299 (2016)","journal-title":"Appl. Math. Comput."},{"issue":"2","key":"9_CR15","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(2), 186\u2013200 (1996)","journal-title":"Appl. Comput. Harmon. Anal."}],"container-title":["Lecture Notes in Computer Science","Mathematical Methods for Curves and Surfaces"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-67885-6_9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,20]],"date-time":"2019-05-20T02:45:17Z","timestamp":1558320317000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-67885-6_9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319678849","9783319678856"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-67885-6_9","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017]]},"assertion":[{"value":"18 October 2017","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"MMCS","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Mathematical Methods for Curves and Surfaces","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"T\u00f8nsberg","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Norway","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2016","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"23 June 2016","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"28 June 2016","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"9","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"mmcs2016","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}