{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T15:25:24Z","timestamp":1759073124988},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"2-4","license":[{"start":{"date-parts":[[2007,3,7]],"date-time":"2007-03-07T00:00:00Z","timestamp":1173225600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computing"],"published-print":{"date-parts":[[2007,4]]},"DOI":"10.1007\/s00607-006-0208-9","type":"journal-article","created":{"date-parts":[[2007,3,6]],"date-time":"2007-03-06T16:59:42Z","timestamp":1173200382000},"page":"317-323","source":"Crossref","is-referenced-by-count":7,"title":["Preserving computational topology by subdivision of quadratic and cubic B\u00e9zier curves"],"prefix":"10.1007","volume":"79","author":[{"given":"E. L. F.","family":"Moore","sequence":"first","affiliation":[]},{"given":"T. J.","family":"Peters","sequence":"additional","affiliation":[]},{"given":"J. A.","family":"Roulier","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2007,3,7]]},"reference":[{"key":"208_CR1","unstructured":"Adams, C. C.: Why knot: knots, molecules and stick numbers. http:\/\/plus.maths.org\/issue15\/features\/knots\/2005."},{"key":"208_CR2","unstructured":"Adams, C. C.: The knot book: an elementary introduction to the mathematical theory of knots. W. H. Freeman 2001."},{"key":"208_CR3","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/S0304-3975(02)00691-6","volume":"305","author":"N. Amenta","year":"2003","journal-title":"Theor. Comput. Sci."},{"issue":"8","key":"208_CR4","first-page":"785","volume":"12","author":"L.-E. Andersson","year":"1995","journal-title":"CAGD"},{"issue":"6","key":"208_CR5","doi-asserted-by":"crossref","first-page":"609","DOI":"10.1142\/S0218195900000346","volume":"10","author":"L.-E. Andersson","year":"2000","journal-title":"Int. J. Comput. Geo. Appl."},{"key":"208_CR6","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/0146-664X(80)90040-4","volume":"14","author":"E. Cohen","year":"1980","journal-title":"Comput. Graph. Image Process."},{"key":"208_CR7","volume-title":"Differential geometry of curves and surfaces","author":"M. DoCarmo","year":"1976"},{"key":"208_CR8","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1007\/BF02559591","volume":"105","author":"W. Haken","year":"1961","journal-title":"Acta. Math."},{"key":"208_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-9449-5","volume-title":"Differential topology","author":"M. W. Hirsch","year":"1976"},{"key":"208_CR10","doi-asserted-by":"crossref","unstructured":"Hass, J., Lagarias, J. C., Pippenger, N.: The computational complexity of knot and link problems. J. ACM 46(2), 185 \u2013211.","DOI":"10.1145\/301970.301971"},{"key":"208_CR11","unstructured":"Lutterkort, D., Peters, J.: Linear envelopes for uniform B-spline curves. Proc. Curves and Surfaces, St. Malo 1999, Vanderbilt, pp. 1\u20138."},{"issue":"5","key":"208_CR12","first-page":"437","volume":"15","author":"T. Maekawa","year":"1998","journal-title":"CAGD"},{"key":"208_CR13","volume-title":"Application de l'analys \u00e0 la geometrie","author":"G. Monge","year":"1850"},{"key":"208_CR14","unstructured":"Moore, E. L. F.: Computational topology for geometric and molecular approximations. Doctoral Dissertation, University of Connecticut 2006."},{"key":"208_CR15","unstructured":"Neagu, M., Calcoen, E., Lacolle, B.: B\u00e9zier curves: topological convergence of the control polygon. 6th Int. Conf. on Mathematical Methods for Curves and Surfaces, Vanderbilt, pp. 347\u2013354 (2000)."},{"key":"208_CR16","unstructured":"Peters, T. J.: www.cse.uconn.edu\/~tpeters."},{"key":"208_CR17","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-59223-2","volume-title":"The NURBS book","author":"L. Piegl","year":"1997"},{"key":"208_CR18","doi-asserted-by":"crossref","unstructured":"Stone, M., DeRose, T. D.: A geometric characterization of parametric cubic curves. ACM Trans. Graphics 8(3), 147\u2013163.","DOI":"10.1145\/77055.77056"}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00607-006-0208-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00607-006-0208-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00607-006-0208-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T14:30:20Z","timestamp":1559140220000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00607-006-0208-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,3,7]]},"references-count":18,"journal-issue":{"issue":"2-4","published-print":{"date-parts":[[2007,4]]}},"alternative-id":["208"],"URL":"https:\/\/doi.org\/10.1007\/s00607-006-0208-9","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,3,7]]}}}