{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,20]],"date-time":"2025-10-20T10:20:16Z","timestamp":1760955616612,"version":"3.37.3"},"reference-count":42,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2016,2,9]],"date-time":"2016-02-09T00:00:00Z","timestamp":1454976000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100004543","name":"China Scholarship Council","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004543","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61373078"],"award-info":[{"award-number":["61373078"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100014857","name":"NSFC Joint Fund with Guangdong","doi-asserted-by":"crossref","award":["U1201258"],"award-info":[{"award-number":["U1201258"]}],"id":[{"id":"10.13039\/501100014857","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Vis Comput"],"published-print":{"date-parts":[[2017,5]]},"DOI":"10.1007\/s00371-016-1211-6","type":"journal-article","created":{"date-parts":[[2016,2,9]],"date-time":"2016-02-09T08:53:23Z","timestamp":1455008003000},"page":"607-624","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Two-dimensional shape retrieval using the distribution of extrema of Laplacian eigenfunctions"],"prefix":"10.1007","volume":"33","author":[{"given":"Dongmei","family":"Niu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peer-Timo","family":"Bremer","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter","family":"Lindstrom","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bernd","family":"Hamann","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuanfeng","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Caiming","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,2,9]]},"reference":[{"issue":"5","key":"1211_CR1","doi-asserted-by":"crossref","first-page":"742","DOI":"10.1109\/TCSVT.2004.826776","volume":"14","author":"T Adamek","year":"2004","unstructured":"Adamek, T., O\u2019Connor, N.E.: A multiscale representation method for nonrigid shapes with a single closed contour. IEEE Trans. Circuits Syst. Video Technol. 14(5), 742\u2013753 (2004)","journal-title":"IEEE Trans. Circuits Syst. Video Technol."},{"issue":"4","key":"1211_CR2","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1109\/34.993558","volume":"24","author":"S Belongie","year":"2002","unstructured":"Belongie, S., Malik, J., Puzicha, J.: Shape matching and object recognition using shape contexts. IEEE Trans. Pattern Anal. Mach. Intell. 24(4), 509\u2013522 (2002)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"1211_CR3","volume-title":"Eigenvalues in Riemannian Geometry, Pure and Applied Mathematics","author":"I Chavel","year":"1984","unstructured":"Chavel, I.: Eigenvalues in Riemannian Geometry, Pure and Applied Mathematics, vol. 115. Academic Press, Orlando (1984)"},{"key":"1211_CR4","volume-title":"Methods of Mathematical Physics","author":"R Courant","year":"1953","unstructured":"Courant, R., Hilbert, D.: Methods of Mathematical Physics, vol. 1. Interscience Publishers, New York (1953)"},{"issue":"8","key":"1211_CR5","doi-asserted-by":"crossref","first-page":"607","DOI":"10.1007\/s00371-007-0164-1","volume":"23","author":"M Cui","year":"2007","unstructured":"Cui, M., Wonka, P., Razdan, A., Hu, J.: A new image registration scheme based on curvature scale space curve matching. Vis. Computer 23(8), 607\u2013618 (2007)","journal-title":"Vis. Computer"},{"issue":"1","key":"1211_CR6","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1007\/s10044-008-0141-y","volume":"13","author":"X Gao","year":"2010","unstructured":"Gao, X., Xiao, B., Tao, D., Li, X.: A survey of graph edit distance. Pattern Anal. Appl. 13(1), 113\u2013129 (2010)","journal-title":"Pattern Anal. Appl."},{"issue":"12","key":"1211_CR7","doi-asserted-by":"crossref","first-page":"1312","DOI":"10.1109\/34.817410","volume":"21","author":"Y Gdalyahu","year":"1999","unstructured":"Gdalyahu, Y., Weinshall, D.: Flexible syntactic matching of curves and its application to automatic hierarchical classification of silhouettes. IEEE Trans. Pattern Anal. Mach. Intell. 21(12), 1312\u20131328 (1999)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"1","key":"1211_CR8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF01231320","volume":"110","author":"C Gordon","year":"1992","unstructured":"Gordon, C., Webb, D., Wolpert, S.: Isospectral plane domains and surfaces via Riemannian orbifolds. Invent Math. 110(1), 1\u201322 (1992)","journal-title":"Invent Math."},{"key":"1211_CR9","doi-asserted-by":"crossref","unstructured":"Grauman, K., Darrell, T.: Fast contour matching using approximate earth mover\u2019s distance. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 220\u2013227 (2004)","DOI":"10.1109\/CVPR.2004.1315035"},{"issue":"9","key":"1211_CR10","doi-asserted-by":"crossref","first-page":"949","DOI":"10.1007\/s00371-013-0850-0","volume":"29","author":"J Hu","year":"2013","unstructured":"Hu, J., Hua, J.: Pose analysis using spectral geometry. Vis. Computer 29(9), 949\u2013958 (2013)","journal-title":"Vis. Computer"},{"issue":"6","key":"1211_CR11","doi-asserted-by":"crossref","first-page":"817","DOI":"10.1016\/j.cviu.2011.02.006","volume":"115","author":"A Ion","year":"2011","unstructured":"Ion, A., Artner, N.M., Peyr\u00e9, G., Kropatsch, W.G., Cohen, L.D.: Matching 2D and 3D articulated shapes using the eccentricity transform. Comput. Vis. Image Underst. 115(6), 817\u2013834 (2011)","journal-title":"Comput. Vis. Image Underst."},{"key":"1211_CR12","doi-asserted-by":"crossref","unstructured":"Isaacs, J.C., Roberts, R.G.: Metrics of the Laplace\u2013Beltrami eigenfunctions for 2D shape matching. In: Proceedings of the IEEE International Conference on Systems, Man and Cybernetics (SMC), pp. 3347\u20133352 (2011)","DOI":"10.1109\/ICSMC.2011.6084186"},{"issue":"1\u20132","key":"1211_CR13","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/S0923-5965(00)00019-9","volume":"16","author":"WY Kim","year":"2000","unstructured":"Kim, W.Y., Kim, Y.S.: A region-based shape descriptor using Zernike moments. Signal Process. Image Commun. 16(1\u20132), 95\u2013102 (2000)","journal-title":"Signal Process. Image Commun."},{"issue":"1\u20132","key":"1211_CR14","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1002\/nav.3800020109","volume":"2","author":"HW Kuhn","year":"1955","unstructured":"Kuhn, H.W.: The Hungarian method for the assignment problem. Nav. Res. Logist. Q. 2(1\u20132), 83\u201397 (1955)","journal-title":"Nav. Res. Logist. Q."},{"issue":"4","key":"1211_CR15","doi-asserted-by":"crossref","first-page":"556","DOI":"10.1016\/j.image.2014.01.009","volume":"29","author":"N Laiche","year":"2014","unstructured":"Laiche, N., Larabi, S., Ladraa, F., Khadraoui, A.: Curve normalization for shape retrieval. Signal Process. Image Commun. 29(4), 556\u2013571 (2014)","journal-title":"Signal Process. Image Commun."},{"key":"1211_CR16","doi-asserted-by":"crossref","unstructured":"Latecki, L.J., Lak\u00e4mper, R., Eckhardt, U.: Shape descriptors for non-rigid shapes with a single closed contour. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 424\u2013429 (2000)","DOI":"10.1109\/CVPR.2000.855850"},{"key":"1211_CR17","doi-asserted-by":"crossref","unstructured":"L\u00e9vy, B.: Laplace\u2013Beltrami eigenfunctions towards an algorithm that \u201cunderstands\u201d geometry. In: Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006, invited talk, SMI \u201906, p. 13 (2006)","DOI":"10.1109\/SMI.2006.21"},{"issue":"1","key":"1211_CR18","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1109\/TSMCA.2008.2007988","volume":"39","author":"S Li","year":"2009","unstructured":"Li, S., Lee, M.C., Pun, C.M.: Complex Zernike moments features for shape-based image retrieval. IEEE Trans. Syst. Man Cybern. Part A Syst. Humans 39(1), 227\u2013237 (2009)","journal-title":"IEEE Trans. Syst. Man Cybern. Part A Syst. Humans"},{"issue":"2","key":"1211_CR19","doi-asserted-by":"crossref","first-page":"286","DOI":"10.1109\/TPAMI.2007.41","volume":"29","author":"H Ling","year":"2007","unstructured":"Ling, H., Jacobs, D.W.: Shape classification using the inner-distance. IEEE Trans. Pattern Anal. Mach. Intell 29(2), 286\u2013299 (2007)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell"},{"key":"1211_CR20","first-page":"51","volume-title":"Images Databases and Multi-media Search, Software Engineering and Knowledge Engineering","author":"F Mokhatarian","year":"1997","unstructured":"Mokhatarian, F., Abbasi, S., Kittler, J.: Efficient and robust retrieval by shape content through curvature scale space. In: Smeulders, A.W.M., Jain, R. (eds.) Images Databases and Multi-media Search, Software Engineering and Knowledge Engineering, vol. 8, pp. 51\u201358. World Scientific, Singapore (1997)"},{"issue":"1","key":"1211_CR21","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1137\/0105003","volume":"5","author":"J Munkres","year":"1957","unstructured":"Munkres, J.: Algorithms for the assignment and transportation problems. J. Soc. Ind. Appl. Math. 5(1), 32\u201338 (1957)","journal-title":"J. Soc. Ind. Appl. Math."},{"key":"1211_CR22","volume-title":"Spatial Tessellations: Concepts and Applications of Voronoi Diagrams","author":"A Okabe","year":"1992","unstructured":"Okabe, A., Boots, B., Sugihara, K.: Spatial Tessellations: Concepts and Applications of Voronoi Diagrams. Wiley, New York (1992)"},{"issue":"2","key":"1211_CR23","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1145\/568547.568559","volume":"30","author":"J O\u2019Rourke","year":"1999","unstructured":"O\u2019Rourke, J.: Computational geometry column 35. SIGACT News 30(2), 31\u201332 (1999)","journal-title":"SIGACT News"},{"issue":"6","key":"1211_CR24","doi-asserted-by":"crossref","first-page":"460","DOI":"10.1016\/j.cad.2007.01.014","volume":"39","author":"N Peinecke","year":"2007","unstructured":"Peinecke, N., Wolter, F.E., Reuter, M.: Laplace spectra as fingerprints for image recognition. Computer-Aided Design 39(6), 460\u2013476 (2007)","journal-title":"Computer-Aided Design"},{"key":"1211_CR25","unstructured":"Peyr\u00e9, G.: Toolbox fast marching. MATLAB Central File Exchange Select (2009)"},{"key":"1211_CR26","unstructured":"Peyr\u00e9, G.: Toolbox graph. MATLAB Central File Exchange Select (2009)"},{"issue":"2","key":"1211_CR27","first-page":"287","volume":"89","author":"M Reuter","year":"2009","unstructured":"Reuter, M.: Hierarchical shape segmentation and registration via topological features of Laplace\u2013Beltrami eigenfunctions. Int. J. Comput. Vis. 89(2), 287\u2013308 (2009)","journal-title":"Int. J. Comput. Vis."},{"issue":"3","key":"1211_CR28","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1016\/j.cag.2009.03.005","volume":"33","author":"M Reuter","year":"2009","unstructured":"Reuter, M., Biasotti, S., Giorgi, D., Patan\u00e8, G., Spagnuolo, M.: Discrete Laplace\u2013Beltrami operators for shape analysis and segmentation. Comput. Graph. 33(3), 381\u2013390 (2009)","journal-title":"Comput. Graph."},{"issue":"4","key":"1211_CR29","doi-asserted-by":"crossref","first-page":"342","DOI":"10.1016\/j.cad.2005.10.011","volume":"38","author":"M Reuter","year":"2006","unstructured":"Reuter, M., Wolter, F.E., Peinecke, N.: Laplace\u2013Beltrami spectra as \u201cShape-DNA\u201d of surfaces and solids. Computer-Aided Design 38(4), 342\u2013366 (2006)","journal-title":"Computer-Aided Design"},{"key":"1211_CR30","unstructured":"Rustamov, R.M.: Laplace\u2013Beltrami eigenfunctions for deformation invariant shape representation. In: Proceedings of the Fifth Eurographics Symposium on Geometry Processing, SGP\u201907, pp. 225\u2013233 (2007)"},{"issue":"5","key":"1211_CR31","doi-asserted-by":"crossref","first-page":"550","DOI":"10.1109\/TPAMI.2004.1273924","volume":"26","author":"TB Sebastian","year":"2004","unstructured":"Sebastian, T.B., Klein, P.N., Kimia, B.B.: Recognition of shapes by editing their shock graphs. IEEE Trans. Pattern Anal. Mach. Intell. 26(5), 550\u2013571 (2004)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"4","key":"1211_CR32","doi-asserted-by":"crossref","first-page":"366","DOI":"10.1006\/jvci.1998.0396","volume":"9","author":"D Sharvit","year":"1998","unstructured":"Sharvit, D., Chan, J., Tek, H., Kimia, B.B.: Symmetry-based indexing of image databases. J. Vis. Commun. Image Represent. 9(4), 366\u2013380 (1998)","journal-title":"J. Vis. Commun. Image Represent."},{"key":"1211_CR33","doi-asserted-by":"crossref","unstructured":"Shekar, B., Pilar, B.: Shape representation and classification through pattern spectrum and local binary pattern\u2014a decision level fusion approach. In: Proceedings of the Fifth International Conference on Signal and Image Processing (ICSIP), pp. 218\u2013224 (2014)","DOI":"10.1109\/ICSIP.2014.41"},{"key":"1211_CR34","series-title":"Lecture notes in computer science","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1007\/BFb0014497","volume-title":"Applied Computational Geometry: Towards Geometric Engineering","author":"JR Shewchuk","year":"1996","unstructured":"Shewchuk, J.R.: Triangle: engineering a 2D quality mesh generator and Delaunay triangulator. In: Lin, M.C., Manocha, D. (eds.) Applied Computational Geometry: Towards Geometric Engineering. Lecture notes in computer science, vol. 1148, pp. 203\u2013222. Springer, New York (1996)"},{"issue":"4","key":"1211_CR35","doi-asserted-by":"crossref","first-page":"286","DOI":"10.1016\/j.imavis.2010.11.001","volume":"29","author":"X Shu","year":"2011","unstructured":"Shu, X., Jun Wu, X.: A novel contour descriptor for 2D shape matching and its application to image retrieval. Image Vis. Comput. 29(4), 286\u2013294 (2011)","journal-title":"Image Vis. Comput."},{"key":"1211_CR36","first-page":"21","volume-title":"Interpreting Multivariate Data","author":"R Sibson","year":"1981","unstructured":"Sibson, R.: A brief description of natural neighbour interpolation(chapter 2). In: Barnett, V. (ed.) Interpreting Multivariate Data, vol. 21, pp. 21\u201336. Wiley, New York (1981)"},{"key":"1211_CR37","unstructured":"Taubin, G.: Geometric signal processing on polygonal meshes. In: Eurographics 2000 State of the Art Report (STAR), pp. 81\u201396 (2000)"},{"key":"1211_CR38","unstructured":"Taylor, M.E.: Partial Differential Equations I: Basic Theory. Applied functional analysis: applications to mathematical physics. U.S. Government Printing Office (1996)"},{"issue":"2","key":"1211_CR39","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1016\/j.patrec.2011.09.042","volume":"33","author":"J Wang","year":"2012","unstructured":"Wang, J., Bai, X., You, X., Liu, W., Latecki, L.J.: Shape matching and classification using height functions. Pattern Recognit. Lett. 33(2), 134\u2013143 (2012)","journal-title":"Pattern Recognit. Lett."},{"issue":"1","key":"1211_CR40","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1109\/TPAMI.2008.199","volume":"31","author":"C Xu","year":"2009","unstructured":"Xu, C., Liu, J., Tang, X.: 2D shape matching by contour flexibility. IEEE Trans. Pattern Anal. Mach. Intell. 31(1), 180\u2013186 (2009)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"10","key":"1211_CR41","doi-asserted-by":"crossref","first-page":"825","DOI":"10.1016\/S0923-5965(02)00084-X","volume":"17","author":"D Zhang","year":"2002","unstructured":"Zhang, D., Lu, G.: Shape-based image retrieval using generic Fourier descriptor. Signal Process. Image Commun. 17(10), 825\u2013848 (2002)","journal-title":"Signal Process. Image Commun."},{"issue":"1","key":"1211_CR42","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.patcog.2003.07.008","volume":"37","author":"D Zhang","year":"2004","unstructured":"Zhang, D., Lu, G.: Review of shape representation and description techniques. Pattern Recognit. 37(1), 1\u201319 (2004)","journal-title":"Pattern Recognit."}],"container-title":["The Visual Computer"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00371-016-1211-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00371-016-1211-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00371-016-1211-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00371-016-1211-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,16]],"date-time":"2020-05-16T12:45:38Z","timestamp":1589633138000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00371-016-1211-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,2,9]]},"references-count":42,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2017,5]]}},"alternative-id":["1211"],"URL":"https:\/\/doi.org\/10.1007\/s00371-016-1211-6","relation":{},"ISSN":["0178-2789","1432-2315"],"issn-type":[{"type":"print","value":"0178-2789"},{"type":"electronic","value":"1432-2315"}],"subject":[],"published":{"date-parts":[[2016,2,9]]}}}