{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,6]],"date-time":"2025-11-06T19:58:58Z","timestamp":1762459138859},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2013,11,1]],"date-time":"2013-11-01T00:00:00Z","timestamp":1383264000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Math Imaging Vis"],"published-print":{"date-parts":[[2014,6]]},"DOI":"10.1007\/s10851-013-0471-2","type":"journal-article","created":{"date-parts":[[2013,11,1]],"date-time":"2013-11-01T00:56:32Z","timestamp":1383267392000},"page":"377-383","source":"Crossref","is-referenced-by-count":3,"title":["Numerical Curve Length Calculation Using Polynomial Interpolation"],"prefix":"10.1007","volume":"49","author":[{"given":"Sameh Abdelwahab Nasr","family":"Eisa","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,11,1]]},"reference":[{"key":"471_CR1","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1007\/s10851-010-0208-4","volume":"38","author":"A. Suhadolnik","year":"2010","unstructured":"Suhadolnik, A., Petrisic, J., Kosel, F.: Digital curve length calculation by using B-spline. J. Math. Imaging Vis. 38, 132\u2013138 (2010)","journal-title":"J. Math. Imaging Vis."},{"key":"471_CR2","doi-asserted-by":"crossref","first-page":"990","DOI":"10.1016\/j.imavis.2007.11.001","volume":"26","author":"A. Suhadolnik","year":"2008","unstructured":"Suhadolnik, A., Petrisic, J., Kosel, F.: Numerical calculation of digital curve length by using anchored discrete convolution. Image Vis. Comput. 26, 990\u2013999 (2008)","journal-title":"Image Vis. Comput."},{"issue":"7","key":"471_CR3","doi-asserted-by":"crossref","first-page":"1112","DOI":"10.1016\/j.measurement.2009.04.005","volume":"42","author":"A. Suhadolnik","year":"2009","unstructured":"Suhadolnik, A., Petrisic, J., Kosel, F.: An anchored discrete convolution algorithm for measuring length in digital images. Measurement 42(7), 1112\u20131117 (2009)","journal-title":"Measurement"},{"issue":"3","key":"471_CR4","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1016\/S0734-189X(87)80145-7","volume":"40","author":"L. Dorst","year":"1987","unstructured":"Dorst, L., Smeulders, A.W.M.: Length estimators for digitized contours. Comput. Vis. Graph. Image Process. 40(3), 311\u2013333 (1987)","journal-title":"Comput. Vis. Graph. Image Process."},{"key":"471_CR5","volume-title":"Advanced Engineering Mathematics","author":"E. Kreyszig","year":"2005","unstructured":"Kreyszig, E.: Advanced Engineering Mathematics, 7th edn. Ohio State University, Columbus (2005)","edition":"7"},{"key":"471_CR6","volume-title":"Computer Methods for Mathematical Computations","author":"G.E. Forsythe","year":"1977","unstructured":"Forsythe, G.E., Malcolm, M.A., Moler, C.B.: Computer Methods for Mathematical Computations. Prentice-Hall, Englewood Cliffs (1977)"},{"key":"471_CR7","volume-title":"Digital Geometry","author":"R. Klette","year":"2006","unstructured":"Klette, R., Rosenfeld, A.: Digital Geometry. Elsevier, Singapore (2006)"},{"key":"471_CR8","first-page":"331","volume":"39","author":"M. Morimoto","year":"2013","unstructured":"Morimoto, M.: Takebe Katahiro\u2019s algorithms for finding the circular arc length. Springer Proc. Math. Stat. 39, 331\u2013342 (2013)","journal-title":"Springer Proc. Math. Stat."},{"key":"471_CR9","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1007\/s10543-005-0031-2","volume":"45","author":"M.S. Floater","year":"2005","unstructured":"Floater, M.S.: ARC length estimation and the convergence of polynomial curve interpolation. BIT Numer. Math. 45, 679\u2013694 (2005)","journal-title":"BIT Numer. Math."},{"key":"471_CR10","doi-asserted-by":"crossref","first-page":"512","DOI":"10.1016\/j.cam.2005.10.001","volume":"196","author":"M.S. Floater","year":"2006","unstructured":"Floater, M.S., Rasmussen, A.F.: Point-based methods for estimating the length of a parametric curve. J. Comput. Appl. Math. 196, 512\u2013522 (2006)","journal-title":"J. Comput. Appl. Math."},{"key":"471_CR11","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1007\/s00605-005-0335-y","volume":"147","author":"P. Petrov","year":"2006","unstructured":"Petrov, P.: On an extremal problem about the arc-length of algebraic polynomials. Monatshefte Math. 147, 165\u2013171 (2006)","journal-title":"Monatshefte Math."},{"issue":"2","key":"471_CR12","first-page":"145","volume":"68","author":"S.A.N. Eisa","year":"2011","unstructured":"Eisa, S.A.N.: Approximation series (function) using polynomials for replacing functions and mathematical curves or random curves. Int. J. Pure Appl. Math. 68(2), 145\u2013164 (2011)","journal-title":"Int. J. Pure Appl. Math."},{"key":"471_CR13","unstructured":"Eisa, S.A.N.: Solving equations numerically and by MATLAB code using the generated function with three terms (second order equation). J. Comput. 3(5) (2011). ISSN 2151-9617"},{"issue":"77","key":"471_CR14","first-page":"3811","volume":"5","author":"S.A.N. Eisa","year":"2011","unstructured":"Eisa, S.A.N.: Using the generated function as a numerical integration method with high accurate results. Appl. Math. Sci. 5(77), 3811\u20133826 (2011)","journal-title":"Appl. Math. Sci."},{"issue":"4","key":"471_CR15","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1080\/10867651.2001.10487548","volume":"6","author":"S. Vincent","year":"2002","unstructured":"Vincent, S., Forsey, D.: Fast and accurate parametric curve length computation. J. Graph. Tools 6(4), 29\u201340 (2002)","journal-title":"J. Graph. Tools"},{"key":"471_CR16","first-page":"113","volume-title":"Advances in Digital and Computational Geometry","author":"F. Sloboda","year":"1998","unstructured":"Sloboda, F., Zatko, B., Stoer, J.: On approximation of planar one-dimensional continua. In: Advances in Digital and Computational Geometry, pp. 113\u2013160. Springer, Singapore (1998)"}],"container-title":["Journal of Mathematical Imaging and Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-013-0471-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10851-013-0471-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-013-0471-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T02:26:23Z","timestamp":1559269583000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10851-013-0471-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,11,1]]},"references-count":16,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2014,6]]}},"alternative-id":["471"],"URL":"https:\/\/doi.org\/10.1007\/s10851-013-0471-2","relation":{},"ISSN":["0924-9907","1573-7683"],"issn-type":[{"value":"0924-9907","type":"print"},{"value":"1573-7683","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,11,1]]}}}