{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,4]],"date-time":"2025-07-04T05:40:09Z","timestamp":1751607609954,"version":"3.41.0"},"publisher-location":"Cham","reference-count":15,"publisher":"Springer Nature Switzerland","isbn-type":[{"value":"9783031976629","type":"print"},{"value":"9783031976636","type":"electronic"}],"license":[{"start":{"date-parts":[[2025,6,28]],"date-time":"2025-06-28T00:00:00Z","timestamp":1751068800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,6,28]],"date-time":"2025-06-28T00:00:00Z","timestamp":1751068800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2026]]},"DOI":"10.1007\/978-3-031-97663-6_22","type":"book-chapter","created":{"date-parts":[[2025,7,4]],"date-time":"2025-07-04T05:00:10Z","timestamp":1751605210000},"page":"252-263","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Split-and-Merge Segmentation of\u00a0Biomedical Images Using Graph Wedgelet Decompositions"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3541-5401","authenticated-orcid":false,"given":"Wolfgang","family":"Erb","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,6,28]]},"reference":[{"key":"22_CR1","first-page":"1","volume":"15","author":"A Alonso Rodr\u00edguez","year":"2022","unstructured":"Alonso Rodr\u00edguez, A., Bruni Bruno, L., Rapetti, F.: Computing weights for high order Whitney edge elements. Dolomites Res. Notes Approx. 15, 1\u201312 (2022)","journal-title":"Dolomites Res. Notes Approx."},{"key":"22_CR2","doi-asserted-by":"publisher","first-page":"124002","DOI":"10.1088\/1361-6420\/abb446","volume":"36","author":"G Bringout","year":"2020","unstructured":"Bringout, G., Erb, W., Frikel, J.: A new 3D model for Magnetic Particle Imaging using realistic magnetic field topologies for algebraic reconstruction. Inverse Prob. 36, 124002 (2020)","journal-title":"Inverse Prob."},{"issue":"4","key":"22_CR3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00041-021-09871-w","volume":"27","author":"R Cavoretto","year":"2021","unstructured":"Cavoretto, R., De Rossi, A., Erb, W.: Partition of unity methods for signal processing on graphs. J. Fourier Anal. Appl. 27(4), 1\u201329 (2021). https:\/\/doi.org\/10.1007\/s00041-021-09871-w","journal-title":"J. Fourier Anal. Appl."},{"issue":"278","key":"22_CR4","doi-asserted-by":"publisher","first-page":"789","DOI":"10.1090\/S0025-5718-2011-02495-6","volume":"81","author":"A Cohen","year":"2012","unstructured":"Cohen, A., Dyn, N., Hecht, F., Mirebeau, J.-M.: Adaptive multiresolution analysis based on anistropic triangulations. Math. Comput. 81(278), 789\u2013810 (2012)","journal-title":"Math. Comput."},{"issue":"1","key":"22_CR5","doi-asserted-by":"publisher","first-page":"013007","DOI":"10.1117\/1.JEI.24.1.013007","volume":"24","author":"FE Correa-Tome","year":"2015","unstructured":"Correa-Tome, F.E., Sanchez-Yanez, R.E.: Integral split-and-merge methodology for real-time image segmentation. J. Electron. Imaging 24(1), 013007 (2015)","journal-title":"J. Electron. Imaging"},{"issue":"2","key":"22_CR6","doi-asserted-by":"publisher","first-page":"707","DOI":"10.1137\/040604649","volume":"43","author":"S Dekel","year":"2005","unstructured":"Dekel, S., Leviatan, D.: Adaptive multivariate approximation using binary space partitions and geometric wavelets. SIAM J. Numer. Anal. 43(2), 707\u2013732 (2005)","journal-title":"SIAM J. Numer. Anal."},{"issue":"293","key":"22_CR7","doi-asserted-by":"publisher","first-page":"1241","DOI":"10.1090\/S0025-5718-2014-02908-6","volume":"84","author":"L Demaret","year":"2015","unstructured":"Demaret, L., Iske, A.: Optimal N-term approximation by linear splines over anisotropic Delaunay triangulations. Math. Comput. 84(293), 1241\u20131264 (2015)","journal-title":"Math. Comput."},{"issue":"3","key":"22_CR8","doi-asserted-by":"publisher","first-page":"859","DOI":"10.1214\/aos\/1018031261","volume":"27","author":"DL Donoho","year":"1999","unstructured":"Donoho, D.L.: Wedgelets: nearly minimax estimation of edges. Ann. Stat. 27(3), 859\u2013897 (1999)","journal-title":"Ann. Stat."},{"key":"22_CR9","first-page":"24","volume":"9","author":"W Erb","year":"2023","unstructured":"Erb, W.: Graph wedgelets: adaptive data compression on graphs based on binary wedge partitioning trees and geometric wavelets. IEEE Trans. Image Process. 9, 24\u201334 (2023)","journal-title":"IEEE Trans. Image Process."},{"issue":"2","key":"22_CR10","doi-asserted-by":"publisher","first-page":"842","DOI":"10.1137\/050646597","volume":"29","author":"F Friedrich","year":"2007","unstructured":"Friedrich, F., Demaret, L., F\u00fchr, F., Wicker, K.: Efficient moment computation over polygonal domains with an application to rapid wedgelet approximation. SIAM J. Sci. Comput. 29(2), 842\u2013863 (2007)","journal-title":"SIAM J. Sci. Comput."},{"key":"22_CR11","doi-asserted-by":"publisher","first-page":"293","DOI":"10.1016\/0304-3975(85)90224-5","volume":"38","author":"TF Gonzalez","year":"1985","unstructured":"Gonzalez, T.F.: Clustering to minimize the maximum intercluster distance. Theoret. Comput. Sci. 38, 293\u2013306 (1985)","journal-title":"Theoret. Comput. Sci."},{"key":"22_CR12","doi-asserted-by":"publisher","first-page":"368","DOI":"10.1145\/321941.321956","volume":"23","author":"S Horowitz","year":"1976","unstructured":"Horowitz, S., Pavlidis, T.: Picture segmentation by a tree traversal algorithm. J. ACM 23, 368\u2013388 (1976)","journal-title":"J. ACM"},{"issue":"12","key":"22_CR13","doi-asserted-by":"publisher","first-page":"1610","DOI":"10.1109\/83.544569","volume":"5","author":"H Radha","year":"1996","unstructured":"Radha, H., Vetterli, M., Leonardi, R.: Image compression using binary space partitioning trees. IEEE Trans. Image Proc. 5(12), 1610\u20131624 (1996)","journal-title":"IEEE Trans. Image Proc."},{"issue":"4","key":"22_CR14","doi-asserted-by":"publisher","first-page":"561","DOI":"10.1109\/83.841934","volume":"9","author":"P Salembier","year":"2000","unstructured":"Salembier, P., Garrido, L.: Binary partition tree as an efficient representation for image processing, segmentation, and information retrieval. IEEE Trans. Image Process. 9(4), 561\u2013576 (2000)","journal-title":"IEEE Trans. Image Process."},{"issue":"20","key":"22_CR15","doi-asserted-by":"publisher","first-page":"34777","DOI":"10.1364\/OE.527318","volume":"32","author":"E Simioni","year":"2024","unstructured":"Simioni, E., et al.: A-central model for the geometric calibration of hyper-hemispherical lenses. Opt. Express 32(20), 34777\u201334795 (2024)","journal-title":"Opt. Express"}],"container-title":["Lecture Notes in Computer Science","Computational Science and Its Applications \u2013 ICCSA 2025 Workshops"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-97663-6_22","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,4]],"date-time":"2025-07-04T05:00:11Z","timestamp":1751605211000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-97663-6_22"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,6,28]]},"ISBN":["9783031976629","9783031976636"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-97663-6_22","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,6,28]]},"assertion":[{"value":"28 June 2025","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ICCSA","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Computational Science and Its Applications","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Istanbul","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"T\u00fcrkiye","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2025","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"30 June 2025","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"3 July 2025","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"25","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"iccsa2025","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/iccsa.org\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}