{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,5]],"date-time":"2025-10-05T04:24:13Z","timestamp":1759638253892},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642043963"},{"type":"electronic","value":"9783642043970"}],"license":[{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009]]},"DOI":"10.1007\/978-3-642-04397-0_11","type":"book-chapter","created":{"date-parts":[[2009,9,14]],"date-time":"2009-09-14T18:24:15Z","timestamp":1252952655000},"page":"118-131","source":"Crossref","is-referenced-by-count":6,"title":["Multiscale Discrete Geometry"],"prefix":"10.1007","author":[{"given":"Mouhammad","family":"Said","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jacques-Olivier","family":"Lachaud","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fabien","family":"Feschet","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"11_CR1","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1016\/j.dam.2003.08.003","volume":"139","author":"D. Coeurjolly","year":"2004","unstructured":"Coeurjolly, D., Grard, Y., Reveills, J.-P., Tougne, L.: An elementary algorithm for digital arc segmentation. Discrete Applied Mathematics\u00a0139, 31\u201350 (2004)","journal-title":"Discrete Applied Mathematics"},{"key":"11_CR2","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"355","DOI":"10.1007\/11907350_30","volume-title":"Discrete Geometry for Computer Imagery","author":"F. Vieilleville de","year":"2006","unstructured":"de Vieilleville, F., Lachaud, J.-O.: Revisiting digital straight segment recognition. In: Kuba, A., Ny\u00fal, L.G., Pal\u00e1gyi, K. (eds.) DGCI 2006. LNCS, vol.\u00a04245, pp. 355\u2013366. Springer, Heidelberg (2006)"},{"key":"11_CR3","unstructured":"Debled-Rennesson, I.: Etude et reconnaissance des droites et plans discrets. PhD thesis, Universit\u00e9 Louis Pasteur, Strasbourg (1995)"},{"key":"11_CR4","doi-asserted-by":"publisher","first-page":"635","DOI":"10.1142\/S0218001495000249","volume":"9","author":"I. Debled-Rennesson","year":"1995","unstructured":"Debled-Rennesson, I., Reveill\u00e8s, J.-P.: A linear algorithm for segmentation of discrete curves. International Journal of Pattern Recognition and Artificial Intelligence\u00a09, 635\u2013662 (1995)","journal-title":"International Journal of Pattern Recognition and Artificial Intelligence"},{"key":"11_CR5","doi-asserted-by":"publisher","first-page":"450","DOI":"10.1109\/TPAMI.1984.4767550","volume":"6","author":"L. Dorst","year":"1984","unstructured":"Dorst, L., Smeulders, A.W.M.: Discrete representation of straight lines. IEEE transactions Pattern Analysis Machine Intelligence\u00a06, 450\u2013463 (1984)","journal-title":"IEEE transactions Pattern Analysis Machine Intelligence"},{"issue":"1-2","key":"11_CR6","doi-asserted-by":"publisher","first-page":"84","DOI":"10.1007\/s10044-005-0246-5","volume":"8","author":"F. Feschet","year":"2005","unstructured":"Feschet, F.: Canonical representations of discrete curves. Pattern Anal. Appl.\u00a08(1-2), 84\u201394 (2005)","journal-title":"Pattern Anal. Appl."},{"key":"11_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1007\/3-540-49126-0_3","volume-title":"Discrete Geometry for Computer Imagery","author":"F. Feschet","year":"1999","unstructured":"Feschet, F., Tougne, L.: Optimal time computation of the tangent of a discrete curve: Application to the curvature. In: Bertrand, G., Couprie, M., Perroton, L. (eds.) DGCI 1999. LNCS, vol.\u00a01568, pp. 31\u201340. Springer, Heidelberg (1999)"},{"key":"11_CR8","unstructured":"Figueiredo, O.: Advances in discrete geometry applied to the extraction of planes and surfaces from 3D volumes. PhD thesis, EPFL, Lausanne (1994)"},{"key":"11_CR9","unstructured":"Hardy, G.H., Wright, E.M.: An introduction to the Theory of Numbers. Oxford Society (1989)"},{"key":"11_CR10","volume-title":"Digital Geometry - Geometric Methods for Digital Picture Analysis","author":"R. Klette","year":"2004","unstructured":"Klette, R., Rosenfeld, A.: Digital Geometry - Geometric Methods for Digital Picture Analysis. Morgan Kaufmann, San Francisco (2004)"},{"key":"11_CR11","doi-asserted-by":"publisher","first-page":"363","DOI":"10.1007\/BF00336961","volume":"50","author":"J.J. Koenderink","year":"1984","unstructured":"Koenderink, J.J.: The structure of images. Biol. Cyb.\u00a050, 363\u2013370 (1984)","journal-title":"Biol. Cyb."},{"issue":"10","key":"11_CR12","doi-asserted-by":"publisher","first-page":"1572","DOI":"10.1016\/j.imavis.2006.06.019","volume":"25","author":"J.-O. Lachaud","year":"2007","unstructured":"Lachaud, J.-O., Vialard, A., de Vieilleville, F.: Fast, accurate and convergent tangent estimation on digital contours. Image Vision Comput.\u00a025(10), 1572\u20131587 (2007)","journal-title":"Image Vision Comput."},{"issue":"4","key":"11_CR13","doi-asserted-by":"publisher","first-page":"349","DOI":"10.1007\/BF01664794","volume":"3","author":"T. Lindeberg","year":"1993","unstructured":"Lindeberg, T.: Discrete derivative approximations with scale-space properties: A basis for low-level features extraction. Journal of Mathematical Imaging and Vision\u00a03(4), 349\u2013376 (1993)","journal-title":"Journal of Mathematical Imaging and Vision"},{"key":"11_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1007\/11919629_22","volume-title":"Advances in Visual Computing","author":"A. Vacavant","year":"2006","unstructured":"Vacavant, A., Coeurjolly, D., Tougne, L.: Dynamic reconstruction of complex planar objects on irregular isothetic grids. In: Bebis, G., Boyle, R., Parvin, B., Koracin, D., Remagnino, P., Nefian, A., Meenakshisundaram, G., Pascucci, V., Zara, J., Molineros, J., Theisel, H., Malzbender, T. (eds.) ISVC 2006. LNCS, vol.\u00a04292, pp. 205\u2013214. Springer, Heidelberg (2006)"},{"key":"11_CR15","unstructured":"Witkin, A.P.: Scale-space filtering. In: Proc. 8th Int. Joint Conf. Art. Intell., Larlsruhe, Germany, pp. 1019\u20131022 (1983)"},{"key":"11_CR16","unstructured":"Yaacoub, J.: Enveloppes convexes de r\u00e9seaux et applications au traitement d\u2019images. PhD thesis, Universit\u00e9 Louis Pasteur, Strasbourg (1997)"}],"container-title":["Lecture Notes in Computer Science","Discrete Geometry for Computer Imagery"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-04397-0_11","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,3,9]],"date-time":"2019-03-09T20:07:40Z","timestamp":1552162060000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-04397-0_11"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009]]},"ISBN":["9783642043963","9783642043970"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-04397-0_11","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2009]]}}}