{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T23:08:20Z","timestamp":1725664100590},"publisher-location":"Berlin, Heidelberg","reference-count":12,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540575290"},{"type":"electronic","value":"9783540482116"}],"license":[{"start":{"date-parts":[[1993,1,1]],"date-time":"1993-01-01T00:00:00Z","timestamp":725846400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1993]]},"DOI":"10.1007\/3-540-57529-4_45","type":"book-chapter","created":{"date-parts":[[2012,2,26]],"date-time":"2012-02-26T08:07:01Z","timestamp":1330243621000},"page":"94-103","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Local versus non-local computation of length of digitized curves"],"prefix":"10.1007","author":[{"given":"S. R.","family":"Kulkarni","sequence":"first","affiliation":[]},{"given":"S. K.","family":"Mitter","sequence":"additional","affiliation":[]},{"given":"T. J.","family":"Richardson","sequence":"additional","affiliation":[]},{"given":"J. N.","family":"Tsitsiklis","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2005,6,1]]},"reference":[{"key":"7_CR1","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/0304-3975(78)90004-X","volume":"6","author":"H. Abelson","year":"1978","unstructured":"H. Abelson, \u201cTowards a theory of local and global computation,\u201d Theoretical Computer Science, Vol. 6, pp. 41\u201367, 1978.","journal-title":"Theoretical Computer Science"},{"key":"7_CR2","doi-asserted-by":"crossref","unstructured":"R.V. Ambartzumian, edt., Stochastic and Integral Geometry, Kluwer Academic Publishers, 1987.","DOI":"10.1007\/978-94-009-3921-9"},{"key":"7_CR3","unstructured":"A.J. Baddeley, \u201cStochastic geometry and image analysis,\u201d in CWI Monographs, North Holland, 1986."},{"key":"7_CR4","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1016\/0167-8655(90)90060-F","volume":"11","author":"T.Y. Kong","year":"1990","unstructured":"T.Y. Kong and A. Rosenfeld, \u201cIf we use 4-or 8-connectedness for both the objects and the background, the Euler characteristic is not locally computable,\u201d Pattern Recognition Letters, Vol. 11, pp. 231\u2013232, 1990.","journal-title":"Pattern Recognition Letters"},{"key":"7_CR5","doi-asserted-by":"crossref","first-page":"611","DOI":"10.1109\/34.24795","volume":"11","author":"J. Koplowitz","year":"1989","unstructured":"J. Koplowitz and A. Bruckstein, \u201cDesign of perimeter estimators for digitized planar shapes,\u201d IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 11, pp. 611\u2013622, 1989.","journal-title":"IEEE Trans. Pattern Analysis and Machine Intelligence"},{"key":"7_CR6","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0734-189X(05)80064-7","volume":"51","author":"C.N. Lee","year":"1990","unstructured":"C.N. Lee and A. Rosenfeld, \u201cSimple Connectivity is Not Locally Computable for Connected 3D Images,\u201d Computer Vision, Graphics, and Image Processing, Vol. 51, pp. 87\u201395, 1990.","journal-title":"Computer Vision, Graphics, and Image Processing"},{"key":"7_CR7","unstructured":"M. Minsky and S. Papert, Perceptrons: An Introduction to Computational Geometry, The MIT Press, 1969."},{"key":"7_CR8","doi-asserted-by":"crossref","unstructured":"U. Montanari, \u201cA note on minimal length polygonal approximation to a digitized contour,\u201d Communications of the ACM, Vol. 13, No. 1, 1970.","DOI":"10.1145\/361953.361967"},{"key":"7_CR9","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1093\/biomet\/53.3-4.359","volume":"53","author":"P.A.P. Moran","year":"1966","unstructured":"P.A.P. Moran, \u201cMeasuring the length of a curve,\u201d Biometrika, Vol. 53, pp. 359\u2013364, 1966.","journal-title":"Biometrika"},{"key":"7_CR10","volume-title":"Integral Geometry and Geometric Probability. Volume 1 of Encyclopedia of Mathematics and its Applications","author":"L.A. Santalo","year":"1976","unstructured":"L.A. Santalo, Integral Geometry and Geometric Probability. Volume 1 of Encyclopedia of Mathematics and its Applications, Addison-Wesley, Reading, MA, 1976."},{"key":"7_CR11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.4064\/cm-3-1-1-13","volume":"3","author":"H. Steinhaus","year":"1954","unstructured":"H. Steinhaus, \u201cLength, shape, and area,\u201d Colloq. Mathemat., Vol. 3, pp. 1\u201313, 1954.","journal-title":"Colloq. Mathemat."},{"key":"7_CR12","doi-asserted-by":"crossref","unstructured":"D. Stoyan, W.S. Kendall, and J. Mecke, Stochastic Geometry and Its Applications, Wiley series in probability and mathematical statistics, 1987.","DOI":"10.1515\/9783112485446-014"}],"container-title":["Lecture Notes in Computer Science","Foundations of Software Technology and Theoretical Computer Science"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-57529-4_45","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,20]],"date-time":"2023-06-20T14:33:40Z","timestamp":1687271620000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-57529-4_45"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993]]},"ISBN":["9783540575290","9783540482116"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/3-540-57529-4_45","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[1993]]},"assertion":[{"value":"1 June 2005","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}