{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,1]],"date-time":"2025-05-01T16:11:02Z","timestamp":1746115862676,"version":"3.40.4"},"publisher-location":"Berlin, Heidelberg","reference-count":26,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642382932"},{"type":"electronic","value":"9783642382949"}],"license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-38294-9_24","type":"book-chapter","created":{"date-parts":[[2013,5,13]],"date-time":"2013-05-13T02:52:56Z","timestamp":1368413576000},"page":"279-291","source":"Crossref","is-referenced-by-count":0,"title":["Mathematical Morphology for Real-Valued Images on Riemannian Manifolds"],"prefix":"10.1007","author":[{"given":"Jes\u00fas","family":"Angulo","sequence":"first","affiliation":[]},{"given":"Santiago","family":"Velasco-Forero","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"24_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"212","DOI":"10.1007\/978-3-642-21569-8_19","volume-title":"Mathematical Morphology and Its Applications to Image and Signal Processing","author":"J. Angulo","year":"2011","unstructured":"Angulo, J.: Morphological Bilateral Filtering and Spatially-Variant Adaptive Structuring Functions. In: Soille, P., Pesaresi, M., Ouzounis, G.K. (eds.) ISMM 2011. LNCS, vol.\u00a06671, pp. 212\u2013223. Springer, Heidelberg (2011)"},{"issue":"3","key":"24_CR2","first-page":"289","volume":"10","author":"D. Attouch","year":"1993","unstructured":"Attouch, D., Aze, D.: Approximation and regularization of arbitray functions in Hilbert spaces by the Lasry-Lions method. Annales de l\u2019I.H.P., section C\u00a010(3), 289\u2013312 (1993)","journal-title":"Annales de l\u2019I.H.P., section C"},{"issue":"2","key":"24_CR3","doi-asserted-by":"publisher","first-page":"304","DOI":"10.1016\/j.jfa.2004.10.008","volume":"220","author":"D. Azagra","year":"2005","unstructured":"Azagra, D., Ferrera, J., L\u00f3pez-Mesas, F.: Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds. J. Funct. Anal.\u00a0220(2), 304\u2013361 (2005)","journal-title":"J. Funct. Anal."},{"issue":"2","key":"24_CR4","doi-asserted-by":"crossref","first-page":"323","DOI":"10.5209\/rev_REMA.2006.v19.n2.16592","volume":"19","author":"D. Azagra","year":"2006","unstructured":"Azagra, D., Ferrera, J.: Inf-Convolution and Regularization of Convex Functions on Riemannian Manifols of Nonpositive Curvature. Rev. Mat. Complut.\u00a019(2), 323\u2013345 (2006)","journal-title":"Rev. Mat. Complut."},{"key":"24_CR5","unstructured":"Bhatia, R.: Positive Definite Matrices. Princeton University Press (2007)"},{"key":"24_CR6","doi-asserted-by":"crossref","unstructured":"Berger, M., Gostiaux, B.: Differential Geometry: Manifolds, Curves, and Surfaces. Springer (1987)","DOI":"10.1007\/978-1-4612-1033-7"},{"key":"24_CR7","doi-asserted-by":"crossref","unstructured":"van den Boomgaard, R., Dorst, L.: The morphological equivalent of Gaussian scale-space. In: Proc. of Gaussian Scale-Space Theory, pp. 203\u2013220. Kluwer (1997)","DOI":"10.1007\/978-94-015-8802-7_15"},{"issue":"7","key":"24_CR8","doi-asserted-by":"publisher","first-page":"809","DOI":"10.1109\/JSTSP.2012.2207371","volume":"6","author":"V. \u0106uri\u0107","year":"2012","unstructured":"\u0106uri\u0107, V., Luengo Hendriks, C.L., Borgefors, G.: Salience adaptive structuring elements. IEEE Journal of Selected Topics in Signal Processing\u00a06(7), 809\u2013819 (2012)","journal-title":"IEEE Journal of Selected Topics in Signal Processing"},{"issue":"3","key":"24_CR9","doi-asserted-by":"publisher","first-page":"429","DOI":"10.1007\/s00030-007-6013-0","volume":"14","author":"F. Dragoni","year":"2007","unstructured":"Dragoni, F.: Limiting behavior of solutions of subelliptic heat equations. Nonlinear Differential Equations and Applications\u00a014(3), 429\u2013441 (2007)","journal-title":"Nonlinear Differential Equations and Applications"},{"key":"24_CR10","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. of ISPRS Intercommission Conference on Fast Processing of Photogrammetric Data, pp. 281\u2013304 (1987)"},{"key":"24_CR11","unstructured":"Heijmans, H.J.A.M.: Morphological image operators. Academic Press, Boston (1994)"},{"issue":"1","key":"24_CR12","doi-asserted-by":"publisher","first-page":"38","DOI":"10.1109\/34.476009","volume":"18","author":"P.T. Jackway","year":"1996","unstructured":"Jackway, P.T., Deriche, M.: Scale-Space Properties of the Multiscale Morphological Dilation-Erosion. IEEE Trans. Pattern Anal. Mach. Intell.\u00a018(1), 38\u201351 (1996)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"24_CR13","doi-asserted-by":"crossref","unstructured":"Kimmel, R., Sochen, N., Malladi, R.: Images as embedding maps and minimal surfaces: movies, color, and volumetric medical images. In: Proc. of IEEE CVPR 1997, pp. 350\u2013355 (1997)","DOI":"10.1109\/CVPR.1997.609348"},{"issue":"15","key":"24_CR14","doi-asserted-by":"publisher","first-page":"8431","DOI":"10.1073\/pnas.95.15.8431","volume":"95","author":"R. Kimmel","year":"1998","unstructured":"Kimmel, R., Sethian, J.A.: Computing geodesic paths on manifolds. Proc. of National Academy of Sci.\u00a095(15), 8431\u20138435 (1998)","journal-title":"Proc. of National Academy of Sci."},{"key":"24_CR15","doi-asserted-by":"crossref","unstructured":"Lang, S.: Fundamentals of differential geometry. Springer (1999)","DOI":"10.1007\/978-1-4612-0541-8"},{"issue":"1","key":"24_CR16","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1111\/j.1365-2818.1981.tb01197.x","volume":"121","author":"C. Lantuejoul","year":"1981","unstructured":"Lantuejoul, C., Beucher, S.: On the use of the geodesic metric in image analysis. Journal of Microscopy\u00a0121(1), 39\u201349 (1981)","journal-title":"Journal of Microscopy"},{"key":"24_CR17","doi-asserted-by":"publisher","first-page":"257","DOI":"10.1007\/BF02765025","volume":"55","author":"J.M. Lasry","year":"1986","unstructured":"Lasry, J.M., Lions, P.-L.: A remark on regularization in Hilbert spaces. Israel Journal of Mathematics\u00a055, 257\u2013266 (1986)","journal-title":"Israel Journal of Mathematics"},{"issue":"4","key":"24_CR18","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1016\/j.imavis.2006.04.018","volume":"25","author":"R. Lerallut","year":"2007","unstructured":"Lerallut, R., Decenci\u00e8re, E., Meyer, F.: Image filtering using morphological amoebas. Image and Vision Computing\u00a025(4), 395\u2013404 (2007)","journal-title":"Image and Vision Computing"},{"issue":"4","key":"24_CR19","doi-asserted-by":"publisher","first-page":"864","DOI":"10.1109\/78.376839","volume":"43","author":"P. Maragos","year":"1995","unstructured":"Maragos, P.: Slope Transforms: Theory and Application to Nonlinear Signal Processing. IEEE Trans. on Signal Processing\u00a043(4), 864\u2013877 (1995)","journal-title":"IEEE Trans. on Signal Processing"},{"key":"24_CR20","unstructured":"Moreau, J.J.: Fonctionnelles convexes. Lecture notes, Coll\u00e9ge de France, Paris (1967), http:\/\/archive.numdam.org"},{"key":"24_CR21","doi-asserted-by":"crossref","unstructured":"Roerdink, J.B.T.M.: Manifold shape: from differential geometry to mathematical morphology. In: Shape in Picture, NATO ASI F, vol.\u00a0126, pp. 209\u2013223. Springer (1994)","DOI":"10.1007\/978-3-662-03039-4_14"},{"key":"24_CR22","doi-asserted-by":"publisher","first-page":"877","DOI":"10.1016\/S0031-3203(99)00152-1","volume":"33","author":"J.B.T.M. Roerdink","year":"2000","unstructured":"Roerdink, J.B.T.M.: Group morphology. Pattern Recognition\u00a033, 877\u2013895 (2000)","journal-title":"Pattern Recognition"},{"key":"24_CR23","doi-asserted-by":"crossref","unstructured":"Roerdink, J.B.T.M.: Adaptivity and group invariance in mathematical morphology. In: Proc. of ICIP 2009 (2009)","DOI":"10.1109\/ICIP.2009.5413983"},{"key":"24_CR24","volume-title":"Image Analysis and Mathematical Morphology, vol. II: Theoretical Advances","author":"J. Serra","year":"1988","unstructured":"Serra, J.: Image Analysis and Mathematical Morphology, vol. II: Theoretical Advances. Academic Press, London (1988)"},{"key":"24_CR25","doi-asserted-by":"publisher","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)"},{"issue":"2","key":"24_CR26","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1007\/s10851-010-0228-0","volume":"39","author":"M. Welk","year":"2011","unstructured":"Welk, M., Breu\u00df, M., Vogel, O.: Morphological amoebas are self-snakes. Journal of Mathematical Imaging and Vision\u00a039(2), 87\u201399 (2011)","journal-title":"Journal of Mathematical Imaging and Vision"}],"container-title":["Lecture Notes in Computer Science","Mathematical Morphology and Its Applications to Signal and Image Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-38294-9_24","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,30]],"date-time":"2025-04-30T09:48:34Z","timestamp":1746006514000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-642-38294-9_24"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642382932","9783642382949"],"references-count":26,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-38294-9_24","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2013]]}}}