{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T20:36:13Z","timestamp":1774557373689,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":19,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540219811","type":"print"},{"value":"9783540246732","type":"electronic"}],"license":[{"start":{"date-parts":[[2004,1,1]],"date-time":"2004-01-01T00:00:00Z","timestamp":1072915200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2004]]},"DOI":"10.1007\/978-3-540-24673-2_13","type":"book-chapter","created":{"date-parts":[[2011,1,12]],"date-time":"2011-01-12T18:59:46Z","timestamp":1294858786000},"page":"155-167","source":"Crossref","is-referenced-by-count":17,"title":["Morphological Operations on Matrix-Valued Images"],"prefix":"10.1007","author":[{"given":"Bernhard","family":"Burgeth","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Martin","family":"Welk","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Christian","family":"Feddern","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Joachim","family":"Weickert","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"issue":"4","key":"13_CR1","doi-asserted-by":"publisher","first-page":"678","DOI":"10.1109\/5.54807","volume":"78","author":"J. Astola","year":"1990","unstructured":"Astola, J., Haavisto, P., Neuvo, Y.: Vector median filters. Proceedings of the IEEE\u00a078(4), 678\u2013689 (1990)","journal-title":"Proceedings of the IEEE"},{"issue":"3","key":"13_CR2","doi-asserted-by":"publisher","first-page":"318","DOI":"10.2307\/2344839","volume":"139","author":"V. Barnett","year":"1976","unstructured":"Barnett, V.: The ordering of multivariate data. Journal of the Royal Statistical Society A\u00a0139(3), 318\u2013355 (1976)","journal-title":"Journal of the Royal Statistical Society A"},{"issue":"2","key":"13_CR3","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1023\/A:1008310305351","volume":"12","author":"V. Caselles","year":"2000","unstructured":"Caselles, V., Sapiro, G., Chung, D.H.: Vector median filters, inf-sup convolutions, and coupled PDE\u2019s: theoretical connections. Journal of Mathematical Imaging and Vision\u00a012(2), 109\u2013119 (2000)","journal-title":"Journal of Mathematical Imaging and Vision"},{"key":"13_CR4","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"990","DOI":"10.1007\/978-3-540-39903-2_137","volume-title":"Medical Image Computing and Computer-Assisted Intervention - MICCAI 2003","author":"C.A. Casta\u00f1o Moraga","year":"2003","unstructured":"Casta\u00f1o Moraga, C.A., Westin, C.-F., Ruiz-Alzola, J.: Homomorphic filtering of DT-MRI fields. In: Ellis, R.E., Peters, T.M. (eds.) MICCAI 2003. LNCS, vol.\u00a02879, pp. 990\u2013991. Springer, Heidelberg (2003)"},{"issue":"3","key":"13_CR5","doi-asserted-by":"publisher","first-page":"279","DOI":"10.1117\/1.482677","volume":"8","author":"M.L. Comer","year":"1999","unstructured":"Comer, M.L., Delp, E.J.: Morphological operations for color image processing. Journal of Electronic Imaging\u00a08(3), 279\u2013289 (1999)","journal-title":"Journal of Electronic Imaging"},{"key":"13_CR6","unstructured":"Feddern, C., Weickert, J., Burgeth, B.: Level-set methods for tensor-valued images. In: Faugeras, O., Paragios, N. (eds.) Proc. Second IEEE Workshop on Geometric and Level Set Methods in Computer Vision, Nice, France, October 2003, pp. 65\u201372 (2003) INRIA"},{"key":"13_CR7","unstructured":"F\u00f6rstner, W., G\u00fclch, E.: A fast operator for detection and precise location of distinct points, corners and centres of circular features. In: Proc. ISPRS Intercommission Conference on Fast Processing of Photogrammetric Data, Interlaken, Switzerland, June 1987, pp. 281\u2013305 (1987)"},{"key":"13_CR8","doi-asserted-by":"publisher","first-page":"326","DOI":"10.1006\/cviu.1995.1058","volume":"62","author":"J. Goutsias","year":"1995","unstructured":"Goutsias, J., Heijmans, H.J.A.M., Sivakumar, K.: Morphological operators for image sequences. Computer Vision and Image Understanding\u00a062, 326\u2013346 (1995)","journal-title":"Computer Vision and Image Understanding"},{"key":"13_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-2377-9","volume-title":"Signal Processing for Computer Vision","author":"G.H. Granlund","year":"1995","unstructured":"Granlund, G.H., Knutsson, H.: Signal Processing for Computer Vision. Kluwer, Dordrecht (1995)"},{"key":"13_CR10","series-title":"IMA Conference Series (New Series)","doi-asserted-by":"crossref","first-page":"525","DOI":"10.1093\/oso\/9780198500148.003.0020","volume-title":"The State of the Art in Numerical Analysis","author":"F. Guichard","year":"1997","unstructured":"Guichard, F., Morel, J.-M.: Partial differential equations and image iterative filtering. In: Duff, I.S., Watson, G.A. (eds.) The State of the Art in Numerical Analysis. IMA Conference Series (New Series), vol.\u00a063, pp. 525\u2013562. Clarendon Press, Oxford (1997)"},{"issue":"2","key":"13_CR11","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1109\/76.97975","volume":"1","author":"R. Hardie","year":"1991","unstructured":"Hardie, R., Arce, G.: Ranking in Rp and its use in multivariate image estimation. IEEE Transactions on Circuits, Systems and Video Technology\u00a01(2), 197\u2013209 (1991)","journal-title":"IEEE Transactions on Circuits, Systems and Video Technology"},{"key":"13_CR12","doi-asserted-by":"publisher","first-page":"1733","DOI":"10.1016\/S0031-3203(01)00166-2","volume":"35","author":"G. Louverdis","year":"2002","unstructured":"Louverdis, G., Vardavoulia, M.I., Andreadis, I., Tsalides, P.: A new approach to morphological color image processing. Pattern Recognition\u00a035, 1733\u20131741 (2002)","journal-title":"Pattern Recognition"},{"issue":"3","key":"13_CR13","doi-asserted-by":"crossref","first-page":"637","DOI":"10.1148\/radiology.201.3.8939209","volume":"201","author":"C. Pierpaoli","year":"1996","unstructured":"Pierpaoli, C., Jezzard, P., Basser, P.J., Barnett, A., Di Chiro, G.: Diffusion tensor MR imaging of the human brain. Radiology\u00a0201(3), 637\u2013648 (1996)","journal-title":"Radiology"},{"key":"13_CR14","volume-title":"Image Analysis and Mathematical Morphology","author":"J. Serra","year":"1982","unstructured":"Serra, J.: Image Analysis and Mathematical Morphology, vol.\u00a01. Academic Press, London (1982)"},{"key":"13_CR15","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-03939-7","volume-title":"Morphological Image Analysis","author":"P. Soille","year":"1999","unstructured":"Soille, P.: Morphological Image Analysis. Springer, Berlin (1999)"},{"key":"13_CR16","series-title":"Computational Imaging and Vision","volume-title":"Mathematical Morphology and its Applications to Image and Signal Processing","author":"H. Talbot","year":"1998","unstructured":"Talbot, H., Evans, C., Jones, R.: Complete ordering and multivariate mathematical morphology. In: Heijmans, H.J.A.M., Roerdink, J.B.T.M. (eds.) Mathematical Morphology and its Applications to Image and Signal Processing. Computational Imaging and Vision, vol.\u00a012. Kluwer, Dordrecht (1998)"},{"issue":"3","key":"13_CR17","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1023\/A:1020870207168","volume":"50","author":"D. Tschumperl\u00e9","year":"2002","unstructured":"Tschumperl\u00e9, D., Deriche, R.: Orthonormal vector sets regularization with PDE\u2019s and applications. International Journal of Computer Vision\u00a050(3), 237\u2013252 (2002)","journal-title":"International Journal of Computer Vision"},{"key":"13_CR18","series-title":"Contemporary Mathematics","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1090\/conm\/313\/05378","volume-title":"Inverse Problems, Image Analysis, and Medical Imaging","author":"J. Weickert","year":"2002","unstructured":"Weickert, J., Brox, T.: Diffusion and regularization of vector- and matrixvalued images. In: Nashed, M.Z., Scherzer, O. (eds.) Inverse Problems, Image Analysis, and Medical Imaging. Contemporary Mathematics, vol.\u00a0313, pp. 251\u2013268. AMS, Providence (2002)"},{"key":"13_CR19","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1007\/978-3-540-45243-0_3","volume-title":"Pattern Recognition","author":"M. Welk","year":"2003","unstructured":"Welk, M., Feddern, C., Burgeth, B., Weickert, J.: Median filtering of tensor-valued images. In: Michaelis, B., Krell, G. (eds.) DAGM 2003. LNCS, vol.\u00a02781, pp. 17\u201324. Springer, Heidelberg (2003)"}],"container-title":["Lecture Notes in Computer Science","Computer Vision - ECCV 2004"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-24673-2_13","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,3]],"date-time":"2024-04-03T00:06:44Z","timestamp":1712102804000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-24673-2_13"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004]]},"ISBN":["9783540219811","9783540246732"],"references-count":19,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-24673-2_13","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004]]}}}