{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,2]],"date-time":"2025-10-02T06:09:21Z","timestamp":1759385361048},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540649359"},{"type":"electronic","value":"9783642722820"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1998]]},"DOI":"10.1007\/978-3-642-72282-0_36","type":"book-chapter","created":{"date-parts":[[2011,11,24]],"date-time":"2011-11-24T09:21:04Z","timestamp":1322126464000},"page":"333-340","source":"Crossref","is-referenced-by-count":3,"title":["Least Squares Fitting of Circle and Ellipse"],"prefix":"10.1007","author":[{"given":"Sung Joon","family":"Ahn","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wolfgang","family":"Rauh","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Berend","family":"Oberdorfer","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"36_CR1","doi-asserted-by":"publisher","first-page":"329","DOI":"10.1016\/0010-4655(84)90137-1","volume":"33","author":"NI Chernov","year":"1984","unstructured":"N. I. Chernov and G. A. Ososkov, Effective algorithms for circle fitting, Computer Physics Communications 33, 329\u2013333 (1984).","journal-title":"Computer Physics Communications"},{"key":"36_CR2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/0167-8655(93)90126-X","volume":"14","author":"BB Chaudhuri","year":"1993","unstructured":"B. B. Chaudhuri and P. Kundu, Optimum circular fit to weighted data in multi-dimensional space, Pattern Recognition Letters 14, 1\u20136 (1993).","journal-title":"Pattern Recognition Letters"},{"key":"36_CR3","first-page":"56","volume":"9","author":"FL Bookstein","year":"1979","unstructured":"F. L. Bookstein, Fitting Conic Sections to Scattered Data, CGIP 9, 56\u201371 (1979).","journal-title":"CGIP"},{"issue":"2","key":"36_CR4","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1016\/1049-9660(91)90067-Y","volume":"54","author":"R Safaee-Rad","year":"1991","unstructured":"R. Safaee-Rad, I. Tchoukanov, B. Benhabib and K. C. Smith, Accurate Parameter Estimation of Quadric Curves from Grey-Level Images, CVGIP: Image Understanding 54 (2), 259\u2013274 (1991).","journal-title":"CVGIP: Image Understanding"},{"key":"36_CR5","doi-asserted-by":"publisher","first-page":"1461","DOI":"10.1016\/S0167-8655(96)00102-X","volume":"17","author":"PL Rosin","year":"1996","unstructured":"P. L. Rosin, Analyzing Error of Fit Functions for Ellipses, Pattern Recognition Letters 17, 1461\u20131470 (1996).","journal-title":"Pattern Recognition Letters"},{"issue":"3","key":"36_CR6","doi-asserted-by":"publisher","first-page":"320","DOI":"10.1109\/34.276132","volume":"16","author":"K Kanatani","year":"1994","unstructured":"K. Kanatani, Statistical Bias of Conic Fitting and Renormalization, IEEE Trans. PAMI 16 (3), 320\u2013326 (1994).","journal-title":"IEEE Trans. PAMI"},{"issue":"7","key":"36_CR7","doi-asserted-by":"publisher","first-page":"752","DOI":"10.1109\/34.506797","volume":"18","author":"J Cabrera","year":"1996","unstructured":"J. Cabrera and P. Meer, Unbiased Estimation of Ellipses by Bootstrapping, IEEE Trans. PAMI 18 (7), 752\u2013756 (1996).","journal-title":"IEEE Trans. PAMI"},{"key":"36_CR8","doi-asserted-by":"crossref","unstructured":"A. W. Fitzgibbon, M. Pilu and R. B. Fisher, Direct Least Squares Fitting of Ellipses, Proc. 13th Int. Conf. on Pattern Recognition, Vienna, 253\u2013257 (1996).","DOI":"10.1109\/ICPR.1996.546029"},{"issue":"9","key":"36_CR9","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1109\/MCG.1983.263208","volume":"3","author":"RN Goldman","year":"1983","unstructured":"R. N. Goldman, Two Approaches to a Computer Model for Quadratic Surfaces, IEEE Computer Graphics amp Applications 3 (9), 21\u201324 (1983).","journal-title":"IEEE Computer Graphics amp Applications"},{"key":"36_CR10","unstructured":"DIN 32880-1, Koordinatenmefitechnik; Geometrische Grundlagen und Be griffe, Deutsche Norm, Beuth Verlag, Berlin (1986)."},{"key":"36_CR11","first-page":"126","volume":"45","author":"M Berman","year":"1989","unstructured":"M. Berman, Large Sample Bias in Least Squares Estimators of a Circular Arc Center and Its Radius, CVGIP 45, 126\u2013128 (1989).","journal-title":"CVGIP"},{"key":"36_CR12","unstructured":"A. vom Hemdt, Standardauswertung in der Koordinatenmefitechnik - Ein Beitrag zur Geometrieberechnung, Dissertation, RWTH Aachen, FRG (1989)."},{"key":"36_CR13","doi-asserted-by":"publisher","first-page":"558","DOI":"10.1007\/BF01934268","volume":"34","author":"W Gander","year":"1994","unstructured":"W. Gander, G. H. Golub and R. Strebel, Least-squares fitting of circles and ellipses, BIT 34, 558\u2013578 (1994).","journal-title":"BIT"},{"key":"36_CR14","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1016\/0167-8655(95)00114-X","volume":"17","author":"Y Cui","year":"1996","unstructured":"Y. Cui, J. Weng and H. Reynolds, Estimation of ellipse parameters using optimal minimum variance estimator, Pattern Recognition Letters 17, 309\u2013316 (1996).","journal-title":"Pattern Recognition Letters"},{"key":"36_CR15","volume-title":"Parameter Estimation: Principles and Problems","author":"HW Sorenson","year":"1980","unstructured":"H. W. Sorenson, Parameter Estimation: Principles and Problems, Marcel Dekker, New York (1980)."},{"key":"36_CR16","volume-title":"Numerical Recipes in C: The Art of Scientific Computing","author":"WH Press","year":"1988","unstructured":"W. H. Press, B. P. Flannery, S. A. Teukolsky and W. T. Vetterling, Numerical Recipes in C: The Art of Scientific Computing, Cambridge University Press, Cambridge, UK (1988)."}],"container-title":["Informatik aktuell","Mustererkennung 1998"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-72282-0_36.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,25]],"date-time":"2020-11-25T01:41:14Z","timestamp":1606268474000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-72282-0_36"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998]]},"ISBN":["9783540649359","9783642722820"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-72282-0_36","relation":{},"ISSN":["1431-472X"],"issn-type":[{"type":"print","value":"1431-472X"}],"subject":[],"published":{"date-parts":[[1998]]}}}