{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,23]],"date-time":"2026-08-23T18:46:57Z","timestamp":1787510817025,"version":"build-2736575974"},"publisher-location":"Berlin, Heidelberg","reference-count":13,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540664987","type":"print"},{"value":"9783540482369","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1999]]},"DOI":"10.1007\/3-540-48236-9_51","type":"book-chapter","created":{"date-parts":[[2007,8,6]],"date-time":"2007-08-06T14:43:25Z","timestamp":1186411405000},"page":"507-512","source":"Crossref","is-referenced-by-count":4,"title":["A Geometric Functional for Derivatives Approximation"],"prefix":"10.1007","author":[{"given":"Nir A.","family":"Sochen","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yehoshua Y.","family":"Zeevi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Robert M.","family":"Haralick","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2002,4,12]]},"reference":[{"key":"51_CR1","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1109\/83.481681","volume":"5","author":"M Azaria","year":"1996","unstructured":"M Azaria, I Vitsnudel and Y Y Zeevi \u201cThe Design of Tow-Dimensional Gradient estimators Based on One-Dimensional Operators\u201d, IEEE Trans. on Image Processing, 5, (1996) 155\u2013159.","journal-title":"IEEE Trans. on Image Processing"},{"key":"51_CR2","volume-title":"Computer and Robot Vision","author":"R. M. Haralick","year":"1992","unstructured":"R M Haralick and L G Shapiro Computer and Robot Vision, Addison-Wesley Publishing Company, New York, 1992, Chapter 8."},{"key":"51_CR3","doi-asserted-by":"crossref","unstructured":"R Kimmel, R Malladi and N Sochen, \u201cImages as Embedding Maps and Minimal Surfaces: Movies, Color, Texture, and Volumetric Medical Images\u201d, Proc. of IEEE CVPR\u201997, (1997) 350\u2013355.","DOI":"10.1109\/CVPR.1997.609348"},{"key":"51_CR4","unstructured":"R Kimmel, N Sochen and R Malladi, \u201cOn the geometry of texture\u201d, Report, Berkeley Labs. UC, LBNL-39640, UC-405, November,1996."},{"key":"51_CR5","series-title":"Lect Notes Comput Sci","doi-asserted-by":"crossref","first-page":"236","DOI":"10.1007\/3-540-63167-4_54","volume-title":"First International Conference on Scale-Space Theory in Computer Vision","author":"R. Kimmel","year":"1997","unstructured":"R Kimmel, N Sochen and R Malladi, \u201cFrom High Energy Physics to Low Level Vision\u201d, Lecture Notes In Computer Science: 1252, First International Conference on Scale-Space Theory in Computer Vision, Springer-Verlag, 1997, 236\u2013247."},{"key":"51_CR6","volume-title":"Differential Geometry","author":"E. Kreyszing","year":"1991","unstructured":"E Kreyszing, \u201cDifferential Geometry\u201d, Dover Publications, Inc., New York, 1991."},{"key":"51_CR7","doi-asserted-by":"crossref","unstructured":"A M Polyakov, \u201cQuantum geometry of bosonic strings\u201d, Physics Letters, 103B (1981) 207\u2013210.","DOI":"10.1016\/0370-2693(81)90743-7"},{"key":"51_CR8","doi-asserted-by":"crossref","unstructured":"B M ter Haar Romeny Ed., Geometry Driven Diffusion in Computer Vision, Kluwer Academic Publishers, 1994.","DOI":"10.1007\/978-94-017-1699-4"},{"key":"51_CR9","unstructured":"N A Sochen, R M Haralick and Y Y Zeevi in preparation"},{"key":"51_CR10","unstructured":"N Sochen, R Kimmel and R Malladi, \u201cFrom high energy physics to low level vision\u201d, Report, LBNL, UC Berkeley, LBNL 39243, August, Presented in ONR workshop, UCLA, Sept. 5 1996."},{"key":"51_CR11","doi-asserted-by":"crossref","first-page":"310","DOI":"10.1109\/83.661181","volume":"7","author":"N Sochen","year":"1998","unstructured":"N Sochen, R Kimmel and R Malladi, \u201cA general framework for low level vision\u201d, IEEE Trans. on Image Processing, 7, (1998) 310\u2013318.","journal-title":"IEEE Trans. on Image Processing"},{"key":"51_CR12","unstructured":"N Sochen and Y Y Zeevi, \u201cImages as manifolds embedded in a spatial-feature non-Euclidean space\u201d, November 1998, EE-Technion report no. 1181."},{"key":"51_CR13","unstructured":"N Sochen and Y Y Zeevi, \u201cRepresentation of colored images by manifolds embedded in higher dimensional non-Euclidean space\u201d, IEEE ICIP\u201998, Chicago, 1998."}],"container-title":["Lecture Notes in Computer Science","Scale-Space Theories in Computer Vision"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-48236-9_51","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,1]],"date-time":"2019-05-01T15:48:57Z","timestamp":1556725737000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-48236-9_51"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999]]},"ISBN":["9783540664987","9783540482369"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/3-540-48236-9_51","relation":{},"ISSN":["0302-9743"],"issn-type":[{"value":"0302-9743","type":"print"}],"subject":[],"published":{"date-parts":[[1999]]}}}