{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T15:11:53Z","timestamp":1649085113173},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2013,6,1]],"date-time":"2013-06-01T00:00:00Z","timestamp":1370044800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math.Comput.Sci."],"published-print":{"date-parts":[[2013,6]]},"DOI":"10.1007\/s11786-013-0155-8","type":"journal-article","created":{"date-parts":[[2013,6,19]],"date-time":"2013-06-19T08:36:54Z","timestamp":1371631014000},"page":"185-199","source":"Crossref","is-referenced-by-count":3,"title":["Discrete Variational Calculus for B-Spline Curves"],"prefix":"10.1007","volume":"7","author":[{"given":"Jun","family":"Zhao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Elizabeth","family":"Mansfield","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,6,20]]},"reference":[{"key":"155_CR1","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511844621","volume-title":"A Practical Guide to the Invariant Calculus","author":"E.L. Mansfield","year":"2010","unstructured":"Mansfield E.L.: A Practical Guide to the Invariant Calculus. CUP, Cambridge (2010)"},{"key":"155_CR2","unstructured":"Zhao, J.: Discrete invariants of curves and surfaces. PhD thesis, University of Kent, Kent (2010)"},{"key":"155_CR3","doi-asserted-by":"crossref","unstructured":"Shakiban, C.: Signature curves in classifying dna supercoils. http:\/\/www.ima.umn.edu\/~shakiban\/Sig-DNA.pdf (2011)","DOI":"10.7546\/giq-5-2004-203-210"},{"key":"155_CR4","doi-asserted-by":"crossref","unstructured":"Harary, G., Tal, A.: 3D Euler spirals for 3D curve completion (2010)","DOI":"10.1145\/1810959.1811025"},{"key":"155_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1023\/A:1023713602895","volume":"54","author":"B.B. Kimia","year":"2003","unstructured":"Kimia B.B., Frankel I., Popescu A.: Euler spiral for shape completion. Int. J. Comput. Vis. 54, 1\u20133 (2003)","journal-title":"Int. J. Comput. Vis."},{"key":"155_CR6","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1016\/j.cagd.2004.02.004","volume":"21","author":"U. Clarenz","year":"2004","unstructured":"Clarenz U., Diewald U., Dziuk G., Rumpf M., Rusu R.: A finite element method for surface restoration with smooth boundary conditions. Comput. Aided Geom. Des. 21, 427\u2013445 (2004)","journal-title":"Comput. Aided Geom. Des."},{"key":"155_CR7","doi-asserted-by":"crossref","unstructured":"Chan, T., Kang, S., Shen, J.: Euler\u2019s elastica and curvature based inpaitings. SIAM J.Appl.Math. 564\u2013592 (2002)","DOI":"10.1137\/S0036139901390088"},{"key":"155_CR8","doi-asserted-by":"crossref","unstructured":"Chan, T., Shen, J., Zhou, H.-M.: Total variation wavelet inpainting. J. Math. Image Vis. 107\u2013125 (2006)","DOI":"10.1007\/s10851-006-5257-3"},{"issue":"5","key":"155_CR9","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1016\/0167-8396(91)90012-Z","volume":"8","author":"H. Hagen","year":"1991","unstructured":"Hagen H.: Variational design of smooth rational B\u00e9zier curves. Comput. Aided Geom. Des. 8(5), 393\u2013399 (1991)","journal-title":"Comput. Aided Geom. Des."},{"issue":"7","key":"155_CR10","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1016\/0010-4485(95)93587-P","volume":"27","author":"H. Hagen","year":"1995","unstructured":"Hagen H., Hahmann S., Schreiber T.: Visualization and computation of curvature behavior of freeform curves and surfaces. Comput. Aided Des. 27(7), 545\u2013552 (1995)","journal-title":"Comput. Aided Des."},{"key":"155_CR11","doi-asserted-by":"crossref","unstructured":"Moll, M., Kavraki, L.E.: Path planning for variable resolution minimal-energy curves of constant length. In: IEEE 2005 proceeding, international conference on robotics and automation (2005)","DOI":"10.1109\/ROBOT.2005.1570428"},{"key":"155_CR12","volume-title":"A Practical Guide to Solines (revised edition)","author":"C. Boor de","year":"2001","unstructured":"de Boor C.: A Practical Guide to Solines (revised edition). Springer, New York (2001)"},{"issue":"5","key":"155_CR13","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1007\/s002000000053","volume":"11","author":"P.J. Olver","year":"2001","unstructured":"Olver P.J.: Geometric foundations of numerical algorithms and symmetry. Appl. Algebra Eng. Commun. Comput. 11(5), 417\u2013436 (2001)","journal-title":"Appl. Algebra Eng. Commun. Comput."},{"key":"155_CR14","doi-asserted-by":"crossref","unstructured":"Hubert, E., Kogan, I.A.: Smooth and algebraic invariants of a group action, local and global constructions. Found. Comput. Math. 345\u2013383 (2007)","DOI":"10.1007\/s10208-006-0219-0"}],"container-title":["Mathematics in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11786-013-0155-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11786-013-0155-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11786-013-0155-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,15]],"date-time":"2019-07-15T21:32:21Z","timestamp":1563226341000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11786-013-0155-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,6]]},"references-count":14,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2013,6]]}},"alternative-id":["155"],"URL":"https:\/\/doi.org\/10.1007\/s11786-013-0155-8","relation":{},"ISSN":["1661-8270","1661-8289"],"issn-type":[{"value":"1661-8270","type":"print"},{"value":"1661-8289","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,6]]}}}