{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T13:37:10Z","timestamp":1725543430538},"publisher-location":"Berlin, Heidelberg","reference-count":27,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540351535"},{"type":"electronic","value":"9783540351542"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2006]]},"DOI":"10.1007\/11774938_1","type":"book-chapter","created":{"date-parts":[[2006,6,14]],"date-time":"2006-06-14T02:07:45Z","timestamp":1150250865000},"page":"1-15","source":"Crossref","is-referenced-by-count":6,"title":["Topological Map: An Efficient Tool to Compute Incrementally Topological Features on 3D Images"],"prefix":"10.1007","author":[{"given":"Guillaume","family":"Damiand","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Samuel","family":"Peltier","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Laurent","family":"Fuchs","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pascal","family":"Lienhardt","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"1_CR1","doi-asserted-by":"crossref","unstructured":"Bertrand, Y., Damiand, G., Fiorio, C.: Topological map: Minimal encoding of 3d segmented images. In: Workshop on Graph-Based Representations in Pattern Recognition, Ischia, Italy, IAPR-TC15, pp. 64\u201373 (2001)","DOI":"10.1007\/3-540-44438-6_26"},{"key":"1_CR2","unstructured":"Damiand, G.: D\u00e9finition et \u00e9tude d\u2019un mod\u00e8le topologique minimal de repr\u00e9sentation d\u2019images 2D et 3D. Th\u00e8se de doctorat, Universit\u00e9 Montpellier II (2001)"},{"key":"1_CR3","volume-title":"Algebraic Topology","author":"A. Hatcher","year":"2002","unstructured":"Hatcher, A.: Algebraic Topology. Cambridge University Press, Cambridge (2002), available on: http:\/\/www.math.cornell.edu\/~hatcher\/AT\/ATpage.html"},{"key":"1_CR4","unstructured":"Agoston, M.K.: Algebraic Topology, a first course. In: Dekker, M. (ed.) Pure and applied mathematics (1976)"},{"key":"1_CR5","volume-title":"Digital Geometry - Geometrics Methods for Digital Pictures Analysis","author":"R. Klette","year":"2004","unstructured":"Klette, R., Rosenfeld, A.: Digital Geometry - Geometrics Methods for Digital Pictures Analysis. Morgan Kaufmann, San Francisco (2004)"},{"key":"1_CR6","doi-asserted-by":"publisher","first-page":"20","DOI":"10.1006\/cgip.1993.1002","volume":"55","author":"C. Lee","year":"1993","unstructured":"Lee, C., Poston, T., Rosenfeld, A.: Holes and genus of 2D and 3D digital images. CVGIP: Graphical Models and Image Processing\u00a055, 20\u201347 (1993)","journal-title":"CVGIP: Graphical Models and Image Processing"},{"key":"1_CR7","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1006\/cviu.1999.0791","volume":"75","author":"A. Imiya","year":"1999","unstructured":"Imiya, A., Eckhardt, U.: The Euler Characteristics of discrete objects and discrete quasi-objects. Computer Vision and Image Understanding\u00a075, 307\u2013318 (1999)","journal-title":"Computer Vision and Image Understanding"},{"key":"1_CR8","unstructured":"Desbarats, P., Domenger, J.P.: Retrieving and using topological characteristics from 3d discrete images. In: Proceedings of the Computer Vision Winter Workshop, pp. 130\u2013139 (2002)"},{"key":"1_CR9","unstructured":"Brimkov, V., Maimone, A., Nordo, G.: An explicit formula for the number of tunnels in digital objects. ArXiv Computer Science e-prints (2005)"},{"key":"1_CR10","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1016\/0304-3975(91)90018-W","volume":"86","author":"J. Spehner","year":"1991","unstructured":"Spehner, J.: Merging in maps and in pavings. Theoretical Computer Science\u00a086, 205\u2013232 (1991)","journal-title":"Theoretical Computer Science"},{"key":"1_CR11","unstructured":"Edmonds, J.: A combinatorial representation for polyhedral surfaces. Notices of the American Mathematical Society\u00a07 (1960)"},{"key":"1_CR12","doi-asserted-by":"publisher","first-page":"249","DOI":"10.4153\/CJM-1963-029-x","volume":"15","author":"W. Tutte","year":"1963","unstructured":"Tutte, W.: A census of planar maps. Canad. J. Math.\u00a015, 249\u2013271 (1963)","journal-title":"Canad. J. Math."},{"key":"1_CR13","first-page":"657","volume":"2","author":"A. Jacques","year":"1970","unstructured":"Jacques, A.: Constellations et graphes topologiques. Combinatorial Theory and Applications\u00a02, 657\u2013673 (1970)","journal-title":"Combinatorial Theory and Applications"},{"key":"1_CR14","unstructured":"Cori, R.: Un code pour les graphes planaires et ses applications. PhD thesis, Universit\u00e9 Paris VII (1973)"},{"key":"1_CR15","unstructured":"Cori, R.: Un code pour les graphes planaires et ses applications. In: Ast\u00e9risque, Soc. Math. de France, Paris, France, vol.\u00a027 (1975)"},{"key":"1_CR16","doi-asserted-by":"crossref","unstructured":"Lienhardt, P.: Topological models for boundary representation: a comparison with n-dimensional generalized maps. Commputer Aided Design\u00a023 (1991)","DOI":"10.1016\/0010-4485(91)90100-B"},{"key":"1_CR17","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"408","DOI":"10.1007\/978-3-540-39966-7_39","volume-title":"Discrete Geometry for Computer Imagery","author":"G. Damiand","year":"2003","unstructured":"Damiand, G., Lienhardt, P.: Removal and contraction for n-dimensional generalized maps. In: Nystr\u00f6m, I., Sanniti di Baja, G., Svensson, S. (eds.) DGCI 2003. LNCS, vol.\u00a02886, pp. 408\u2013419. Springer, Heidelberg (2003)"},{"key":"1_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1007\/3-540-62005-2_13","volume-title":"Discrete Geometry for Computer Imagery","author":"C. Fiorio","year":"1996","unstructured":"Fiorio, C.: A topologically consistent representation for image analysis: the frontiers topological graph. In: Miguet, S., Ub\u00e9da, S., Montanvert, A. (eds.) DGCI 1996. LNCS, vol.\u00a01176, pp. 151\u2013162. Springer, Heidelberg (1996)"},{"key":"#cr-split#-1_CR19.1","doi-asserted-by":"crossref","unstructured":"Brun, L., Domenger, J.P., Braquelaire, J.P.: Discrete maps: a framework for region segmentation algorithms. In: Workshop on Graph-Based Representations in Pattern Recognition, Lyon, IAPR-TC15 (1997);","DOI":"10.1007\/978-3-7091-6487-7_9"},{"key":"#cr-split#-1_CR19.2","unstructured":"Published in Advances in Computing (Springer)"},{"key":"1_CR20","series-title":"Computing Supplementum","first-page":"123","volume-title":"Workshop on Graph-Based Representations in Pattern Recognition","author":"J.G. Pailloncy","year":"1997","unstructured":"Pailloncy, J.G., Jolion, J.M.: The frontier-region graph. In: Workshop on Graph-Based Representations in Pattern Recognition. Computing Supplementum, vol.\u00a012, pp. 123\u2013134. Springer, Heidelberg (1997)"},{"key":"1_CR21","doi-asserted-by":"publisher","first-page":"62","DOI":"10.1006\/jvci.1998.0374","volume":"9","author":"J.P. Braquelaire","year":"1998","unstructured":"Braquelaire, J.P., Brun, L.: Image segmentation with topological maps and inter-pixel representation. Journal of Visual Communication and Image Representation\u00a09, 62\u201379 (1998)","journal-title":"Journal of Visual Communication and Image Representation"},{"key":"1_CR22","unstructured":"Braquelaire, J.P., Desbarats, P., Domenger, J.P., W\u00fcthrich, C.: A topological structuring for aggregates of 3d discrete objects. In: Workshop on Graph-Based Representations in Pattern Recognition, Austria, IAPR-TC15, pp. 193\u2013202 (1999)"},{"key":"1_CR23","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"242","DOI":"10.1007\/3-540-49126-0_19","volume-title":"Discrete Geometry for Computer Imagery","author":"Y. Bertrand","year":"1999","unstructured":"Bertrand, Y., Fiorio, C., Pennaneach, Y.: Border map: a topological representation for nd image analysis. In: Bertrand, G., Couprie, M., Perroton, L. (eds.) DGCI 1999. LNCS, vol.\u00a01568, pp. 242\u2013257. Springer, Heidelberg (1999)"},{"key":"1_CR24","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1016\/j.cviu.2003.09.001","volume":"93","author":"G. Damiand","year":"2004","unstructured":"Damiand, G., Bertrand, Y., Fiorio, C.: Topological model for two-dimensional image representation: definition and optimal extraction algorithm. Computer Vision and Image Understanding\u00a093, 111\u2013154 (2004)","journal-title":"Computer Vision and Image Understanding"},{"key":"1_CR25","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1007\/3-540-44438-6_26","volume-title":"Discrete Geometry for Computer Imagery","author":"Y. Bertrand","year":"2000","unstructured":"Bertrand, Y., Damiand, G., Fiorio, C.: Topological encoding of 3d segmented images. In: Nystr\u00f6m, I., Sanniti di Baja, G., Borgefors, G. (eds.) DGCI 2000. LNCS, vol.\u00a01953, pp. 311\u2013324. Springer, Heidelberg (2000)"},{"key":"1_CR26","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1007\/978-3-540-31965-8_19","volume-title":"Discrete Geometry for Computer Imagery","author":"S. Peltier","year":"2005","unstructured":"Peltier, S., Alayrangues, S., Fuchs, L., Lachaud, J.O.: Computation of homology groups and generators. In: Andr\u00e8s, \u00c9., Damiand, G., Lienhardt, P. (eds.) DGCI 2005. LNCS, vol.\u00a03429, pp. 195\u2013205. Springer, Heidelberg (2005)"}],"container-title":["Lecture Notes in Computer Science","Combinatorial Image Analysis"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11774938_1.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T03:14:14Z","timestamp":1619493254000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11774938_1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006]]},"ISBN":["9783540351535","9783540351542"],"references-count":27,"URL":"https:\/\/doi.org\/10.1007\/11774938_1","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2006]]}}}