{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,3]],"date-time":"2025-12-03T17:47:43Z","timestamp":1764784063558,"version":"3.37.3"},"reference-count":38,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2018,2,24]],"date-time":"2018-02-24T00:00:00Z","timestamp":1519430400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100005969","name":"Universit\u00e0 di Bologna","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100005969","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Math Imaging Vis"],"published-print":{"date-parts":[[2018,9]]},"DOI":"10.1007\/s10851-018-0799-8","type":"journal-article","created":{"date-parts":[[2018,2,24]],"date-time":"2018-02-24T05:20:37Z","timestamp":1519449637000},"page":"1111-1131","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Shape Partitioning via $${L}_{p}$$ L p Compressed Modes"],"prefix":"10.1007","volume":"60","author":[{"given":"Martin","family":"Huska","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Damiana","family":"Lazzaro","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8334-8798","authenticated-orcid":false,"given":"Serena","family":"Morigi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,2,24]]},"reference":[{"issue":"6","key":"799_CR1","doi-asserted-by":"publisher","first-page":"827","DOI":"10.1080\/16864360.2007.10738515","volume":"4","author":"A Agathos","year":"2007","unstructured":"Agathos, A., Pratikakis, I., Perantonis, S., Sapidis, N., Azariadis, P.: 3D mesh segmentation methodologies for CAD applications. Comput. Aided Des. Appl. 4(6), 827\u2013841 (2007)","journal-title":"Comput. Aided Des. Appl."},{"key":"799_CR2","unstructured":"Attene, M., Katz, S., Mortara, M., Patane, G., Spagnuolo, M., Tal, A.: Mesh segmentation\u2014a comparative study. In: Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006 (SMI\u201906). IEEE Computer Society, Washington (2006)"},{"issue":"5","key":"799_CR3","doi-asserted-by":"publisher","first-page":"3568","DOI":"10.1137\/130942747","volume":"46","author":"F Barekat","year":"2014","unstructured":"Barekat, F.: On the consistency of compressed modes for variational problems associated with the Schr\u00f6dinger operator. SIAM J. Math. Anal. 46(5), 3568\u20133577 (2014)","journal-title":"SIAM J. Math. Anal."},{"key":"799_CR4","unstructured":"Barekat, F., Caflish, R., Osher, S.: On the support of compressed modes. CAM reports (2014)"},{"issue":"8","key":"799_CR5","doi-asserted-by":"publisher","first-page":"2170","DOI":"10.1111\/j.1467-8659.2011.01967.x","volume":"30","author":"H Benhabiles","year":"2011","unstructured":"Benhabiles, H., Lavou\u00e9, G., Vandeborre, J.-P., Daoudi, M.: Learning boundary edges for 3D-mesh segmentation. Comput. Graph. Forum 30(8), 2170\u20132182 (2011)","journal-title":"Comput. Graph. Forum"},{"issue":"1","key":"799_CR6","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1561\/2200000016","volume":"3","author":"S Boyd","year":"2011","unstructured":"Boyd, S., Parikh, N., Chu, E., Peleato, B., Eckstein, J.: Distributed optimization and statistical learning via the alternating direction method of multipliers. Found. Trends Mach. Learn. 3(1), 1\u2013122 (2011)","journal-title":"Found. Trends Mach. Learn."},{"issue":"8","key":"799_CR7","doi-asserted-by":"publisher","first-page":"1687","DOI":"10.1109\/TPAMI.2013.2297314","volume":"36","author":"M Chahhou","year":"2014","unstructured":"Chahhou, M., Moumoun, L., El Far, M., Gadi, T.: Segmentation of 3D meshes using p-spectral clustering. IEEE Trans. Pattern Anal. Mach. Intell. 36(8), 1687\u20131693 (2014)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"3","key":"799_CR8","doi-asserted-by":"publisher","first-page":"73:1","DOI":"10.1145\/1531326.1531379","volume":"28","author":"X Chen","year":"2009","unstructured":"Chen, X., Golovinskiy, A., Funkhouser, T.: A benchmark for 3D mesh segmentation. ACM Trans. Graph 28(3), 73:1\u201373:12 (2009)","journal-title":"ACM Trans. Graph"},{"key":"799_CR9","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1007\/3-540-26808-1_9","volume-title":"Advances in Multiresolution for Geometric Modelling, Mathematics and Visualization","author":"MS Floater","year":"2005","unstructured":"Floater, M.S., Hormann, K.: Surface parameterization: a tutorial and survey. In: Dodgson, N.A., Floater, M.S., Sabin, M.A. (eds.) Advances in Multiresolution for Geometric Modelling, Mathematics and Visualization, pp. 157\u2013186. Springer, Berlin (2005)"},{"key":"799_CR10","first-page":"86","volume":"4","author":"Y Gao","year":"2016","unstructured":"Gao, Y., Menon, P.G., Zhang, Y.: 3D shape comparison of cardiac geometries using a Laplace spectral-shape-matching approach. CMBBE Imaging Vis. 4, 86\u201397 (2016)","journal-title":"CMBBE Imaging Vis."},{"key":"799_CR11","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780198510581.001.0001","volume-title":"Procrustes Problems","author":"JC Gower","year":"2004","unstructured":"Gower, J.C., Dijksterhuis, G.B.: Procrustes Problems. Oxford University Press, Oxford (2004)"},{"key":"799_CR12","first-page":"36","volume":"46","author":"M Huska","year":"2017","unstructured":"Huska, M., Morigi, S.: Sparsity-inducing variational shape partitioning. Electron. Trans. Numer. Anal. 46, 36\u201354 (2017)","journal-title":"Electron. Trans. Numer. Anal."},{"issue":"4","key":"799_CR13","doi-asserted-by":"publisher","first-page":"102:1","DOI":"10.1145\/1778765.1778839","volume":"29","author":"E Kalogerakis","year":"2010","unstructured":"Kalogerakis, E., Hertzmann, A., Singh, K.: Learning 3D mesh segmentation and labeling. ACM Trans. Graph. 29(4), 102:1\u2013102:12 (2010)","journal-title":"ACM Trans. Graph."},{"issue":"2","key":"799_CR14","doi-asserted-by":"publisher","first-page":"431","DOI":"10.1007\/s10915-013-9740-x","volume":"58","author":"R Lai","year":"2014","unstructured":"Lai, R., Osher, S.: A splitting method for orthogonality constrained problems. J. Sci. Comput. 58(2), 431\u2013449 (2014)","journal-title":"J. Sci. Comput."},{"issue":"1","key":"799_CR15","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1007\/s10915-015-0129-x","volume":"68","author":"A Lanza","year":"2016","unstructured":"Lanza, A., Morigi, S., Sgallari, F.: Constrained TVp-L2 model for image restoration. J. Sci. Comput. (JOMP) 68(1), 64\u201391 (2016)","journal-title":"J. Sci. Comput. (JOMP)"},{"key":"799_CR16","doi-asserted-by":"crossref","unstructured":"L\u00e9vy, B., Zhang, H.R.: Spectral mesh processing. In: ACM SIGGRAPH 2010 courses (SIGGRAPH \u201910). ACM, New York (2010)","DOI":"10.1145\/1837101.1837109"},{"issue":"12","key":"799_CR17","doi-asserted-by":"publisher","first-page":"1134","DOI":"10.1016\/j.cad.2007.10.002","volume":"39","author":"H Lin","year":"2007","unstructured":"Lin, H., Chen, W., Bao, H.: Adaptive patch-based mesh fitting for reverse engineering. Comput. Aided Des. 39(12), 1134\u20131142 (2007)","journal-title":"Comput. Aided Des."},{"key":"799_CR18","unstructured":"Liu, R., Zhang, H.: Segmentation of 3D meshes through spectral clustering. In: Proceedings of the 12th Pacific Conference on Computer Graphics and Applications (Oct 2004), PG 2004, pp. 298\u2013305 (2004)"},{"key":"799_CR19","unstructured":"Mejia, D., Ruiz-Salguero, O., Cadavid, C.A.: Spectral-based mesh segmentation. Int. J. Interact. Des. Manuf. (IJIDeM):1955\u20132505 11(3), 503\u2013514 (2017)"},{"key":"799_CR20","doi-asserted-by":"crossref","unstructured":"Neumann, T., Varanasi, K., Theobalt, C., Magnor, M., Wacker, M.: Compressed manifold modes for mesh processing, computer graphics forum. In: Proceedings of the Symposium on Geometry Processing (SGP), vol. 33, issue 5. Eurographics Association, pp. 35\u201344 (2014)","DOI":"10.1111\/cgf.12429"},{"issue":"46","key":"799_CR21","doi-asserted-by":"publisher","first-page":"18368","DOI":"10.1073\/pnas.1318679110","volume":"110","author":"V Ozoli","year":"2013","unstructured":"Ozoli, V., Lai, R., Caflisch, R., Osher, S.: Compressed modes for variational problems in mathematics and physics. Proc. Nat. Acad. Sci. 110(46), 18368\u201318373 (2013)","journal-title":"Proc. Nat. Acad. Sci."},{"issue":"2","key":"799_CR22","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1016\/j.gmod.2006.09.004","volume":"69","author":"G Patan\u00e8","year":"2007","unstructured":"Patan\u00e8, G., Spagnuolo, M., Falcidieno, B.: Families of cut-graphs for bordered meshes with arbitrary genus. Graph. Models 69(2), 119\u2013138 (2007)","journal-title":"Graph. Models"},{"issue":"4","key":"799_CR23","doi-asserted-by":"publisher","first-page":"783","DOI":"10.1111\/j.1467-8659.2004.00808.x","volume":"23","author":"G Patan\u00e8","year":"2004","unstructured":"Patan\u00e8, G., Spagnuolo, M., Falcidieno, B.: Para-graph: graph-based parameterization of triangle meshes with arbitrary genus. Comput. Graph. Forum 23(4), 783\u2013797 (2004)","journal-title":"Comput. Graph. Forum"},{"key":"799_CR24","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1080\/10586458.1993.10504266","volume":"2","author":"U Pinkall","year":"1993","unstructured":"Pinkall, U., Polthier, K.: Computing discrete minimal surfaces and their conjugates. Exp. Math. 2, 15\u201336 (1993)","journal-title":"Exp. Math."},{"key":"799_CR25","doi-asserted-by":"crossref","unstructured":"Reuter, M., Wolter, F.-E., Peinecke, N.: Laplace-spectra as fingerprints for shape matching. In: Proceedings of the 2005 ACM Symposium on Solid and Physical Modeling (SPM \u201905), pp. 101\u2013106. ACM, New York (2005)","DOI":"10.1145\/1060244.1060256"},{"issue":"2","key":"799_CR26","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1207\/s15327906mbr2002_1","volume":"20","author":"PH Schonemann","year":"1985","unstructured":"Schonemann, P.H.: On the formal differentiation of traces and determinants. Multivar. Behav. Res. 20(2), 113\u2013139 (1985)","journal-title":"Multivar. Behav. Res."},{"issue":"6","key":"799_CR27","doi-asserted-by":"publisher","first-page":"1539","DOI":"10.1111\/j.1467-8659.2007.01103.x","volume":"27","author":"A Shamir","year":"2008","unstructured":"Shamir, A.: A survey on mesh segmentation techniques. Comput. Graph. Forum 27(6), 1539\u20131556 (2008)","journal-title":"Comput. Graph. Forum"},{"issue":"1","key":"799_CR28","doi-asserted-by":"publisher","first-page":"6:1","DOI":"10.1145\/2530691","volume":"33","author":"R Song","year":"2014","unstructured":"Song, R., Liu, Y., Martin, R.R., Rosin, P.L.: Mesh saliency via spectral processing. ACM Trans. Graph. 33(1), 6:1\u20136:17 (2014)","journal-title":"ACM Trans. Graph."},{"key":"799_CR29","doi-asserted-by":"crossref","unstructured":"Steiner, D., Fischer, A.: Cutting 3D freeform objects with genus-n into single boundary surfaces using topological graphs. In: Symposium on Solid Modeling and Applications, pp. 336\u2013343 (2002)","DOI":"10.1145\/566282.566330"},{"key":"799_CR30","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1016\/j.cviu.2014.12.008","volume":"135","author":"P Theologou","year":"2015","unstructured":"Theologou, P., Pratikakis, I., Theoharis, T.: A comprehensive overview of methodologies and performance evaluation frameworks in 3D mesh segmentation. Comput. Vis. Image Underst. 135, 49\u201382 (2015)","journal-title":"Comput. Vis. Image Underst."},{"issue":"2","key":"799_CR31","doi-asserted-by":"publisher","first-page":"397","DOI":"10.1109\/TPAMI.2016.2544311","volume":"39","author":"P Theologou","year":"2017","unstructured":"Theologou, P., Pratikakis, I., Theoharis, T.: Unsupervised spectral mesh segmentation driven by heterogeneous graphs. IEEE Trans. Pattern Anal. Mach. Intell. 39(2), 397\u2013410 (2017)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"2","key":"799_CR32","doi-asserted-by":"publisher","first-page":"251","DOI":"10.1111\/j.1467-8659.2008.01122.x","volume":"27","author":"B Vallet","year":"2008","unstructured":"Vallet, B., L\u00e9vy, B.: Spectral geometry processing with manifold harmonics. Comput. Graph. Forum 27(2), 251\u2013260 (2008)","journal-title":"Comput. Graph. Forum"},{"issue":"5","key":"799_CR33","doi-asserted-by":"publisher","first-page":"577","DOI":"10.3722\/cadaps.2008.577-588","volume":"5","author":"T Varady","year":"2013","unstructured":"Varady, T.: Automatic procedures to create CAD models from measured data. Comput. Aided Des. Appl. 5(5), 577\u2013588 (2013)","journal-title":"Comput. Aided Des. Appl."},{"issue":"5","key":"799_CR34","doi-asserted-by":"publisher","first-page":"440","DOI":"10.1016\/j.gmod.2014.04.009","volume":"76","author":"H Wang","year":"2014","unstructured":"Wang, H., Lu, T., Au, O.K.-C., Tai, C.-L.: Spectral 3D mesh segmentation with a novel single segmentation field. Graph. Models 76(5), 440\u2013456 (2014)","journal-title":"Graph. Models"},{"issue":"11","key":"799_CR35","doi-asserted-by":"publisher","first-page":"1072","DOI":"10.1016\/j.cad.2012.04.005","volume":"44","author":"D-M Yan","year":"2012","unstructured":"Yan, D.-M., Wang, W., Liuc, Y., Yang, Z.: Variational mesh segmentation via quadric surface fitting. Comput. Aided Des. 44(11), 1072\u20131082 (2012)","journal-title":"Comput. Aided Des."},{"key":"799_CR36","doi-asserted-by":"crossref","unstructured":"Yin, K., Osher, S.: On the completeness of the compressed modes in the eigenspace. UCLA CAM report, pp. 13\u201362 (2013)","DOI":"10.21236\/ADA594131"},{"issue":"3","key":"799_CR37","doi-asserted-by":"publisher","first-page":"21:1","DOI":"10.1145\/2167076.2167079","volume":"31","author":"J Zhang","year":"2012","unstructured":"Zhang, J., Zheng, J., Wu, C., Cai, J.: Variational mesh decomposition. ACM Trans. Graph. 31(3), 21:1\u201321:14 (2012)","journal-title":"ACM Trans. Graph."},{"key":"799_CR38","doi-asserted-by":"crossref","unstructured":"Zuo, W., Meng, D., Zhang, L., Feng, X., Zhang, D.: A generalized iterated shrinkage algorithm for non-convex sparse coding. International Conference of Computer Vision (ICCV), pp. 217\u2013224 (2013)","DOI":"10.1109\/ICCV.2013.34"}],"container-title":["Journal of Mathematical Imaging and Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10851-018-0799-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-018-0799-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-018-0799-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,11]],"date-time":"2019-10-11T16:02:53Z","timestamp":1570809773000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10851-018-0799-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,2,24]]},"references-count":38,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2018,9]]}},"alternative-id":["799"],"URL":"https:\/\/doi.org\/10.1007\/s10851-018-0799-8","relation":{},"ISSN":["0924-9907","1573-7683"],"issn-type":[{"type":"print","value":"0924-9907"},{"type":"electronic","value":"1573-7683"}],"subject":[],"published":{"date-parts":[[2018,2,24]]},"assertion":[{"value":"9 February 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 February 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 February 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}