{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,23]],"date-time":"2025-10-23T20:48:31Z","timestamp":1761252511528,"version":"3.37.3"},"publisher-location":"Berlin, Heidelberg","reference-count":22,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540728221"},{"type":"electronic","value":"9783540728238"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-72823-8_16","type":"book-chapter","created":{"date-parts":[[2007,7,22]],"date-time":"2007-07-22T21:40:19Z","timestamp":1185140419000},"page":"178-190","source":"Crossref","is-referenced-by-count":25,"title":["Level Set Methods for Watershed Image Segmentation"],"prefix":"10.1007","author":[{"given":"Xue-Cheng","family":"Tai","sequence":"first","affiliation":[]},{"given":"Erlend","family":"Hodneland","sequence":"additional","affiliation":[]},{"given":"Joachim","family":"Weickert","sequence":"additional","affiliation":[]},{"given":"Nickolay V.","family":"Bukoreshtliev","sequence":"additional","affiliation":[]},{"given":"Arvid","family":"Lundervold","sequence":"additional","affiliation":[]},{"given":"Hans-Hermann","family":"Gerdes","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"1","key":"16_CR1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BF01385685","volume":"66","author":"V. Caselles","year":"1993","unstructured":"Caselles, V., et al.: A geometric model for active contours in image processing. Numer. Math.\u00a066(1), 1\u201331 (1993)","journal-title":"Numer. Math."},{"key":"16_CR2","first-page":"403","volume-title":"Image Processing Based on Partial Differential Equations","author":"L.K. Nielsen","year":"2006","unstructured":"Nielsen, L.K., et al.: Reservoir Description using a Binary Level Set Model. In: Tai, X.-C., et al. (eds.) Image Processing Based on Partial Differential Equations, pp. 403\u2013426. Springer, Heidelberg (2006)"},{"key":"16_CR3","first-page":"289","volume-title":"Image Processing Based on Partial Differential Equations","author":"O. Christiansen","year":"2006","unstructured":"Christiansen, O., Tai, X.C.: Fast Implementation of Piecewise Constant Level Set Methods. In: Tai, X.-C., et al. (eds.) Image Processing Based on Partial Differential Equations, pp. 289\u2013308. Springer, Heidelberg (2006)"},{"issue":"5","key":"16_CR4","doi-asserted-by":"publisher","first-page":"1171","DOI":"10.1109\/TIP.2005.863956","volume":"15","author":"J. Lie","year":"2006","unstructured":"Lie, J., Lysaker, M., Tai, X.-C.: A binary level set model and some applications to Mumford-Shah image segmentation. IEEE Transactions on Image Processing\u00a015(5), 1171\u20131181 (2006)","journal-title":"IEEE Transactions on Image Processing"},{"issue":"3","key":"16_CR5","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1023\/A:1020874308076","volume":"50","author":"L.A. Vese","year":"2002","unstructured":"Vese, L.A., Chan, T.F.: A multiphase level set framework for image segmentation using the Mumford and Shah model. International Journal of Computer Vision\u00a050(3), 271\u2013293 (2002)","journal-title":"International Journal of Computer Vision"},{"key":"16_CR6","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1023\/A:1020826424915","volume":"50","author":"D. Cremers","year":"2002","unstructured":"Cremers, D., et al.: Diffusion snakes: introducing statistical shape knowledge into the Mumford\u2013Shah functional. International Journal of Computer Vision\u00a050, 295\u2013313 (2002), citeseer.ist.psu.edu\/cremers02diffusion.html","journal-title":"International Journal of Computer Vision"},{"issue":"4","key":"16_CR7","doi-asserted-by":"publisher","first-page":"321","DOI":"10.1007\/BF00133570","volume":"1","author":"M. Kass","year":"1988","unstructured":"Kass, M., Witkin, A., Terzopoulos, D.: Snakes: Active contour models. International Journal of Computer Vision\u00a01(4), 321\u2013331 (1988), http:\/\/dx.doi.org\/10.1007\/BF00133570","journal-title":"International Journal of Computer Vision"},{"issue":"1","key":"16_CR8","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1016\/0165-1684(94)90059-0","volume":"38","author":"L. Najman","year":"1994","unstructured":"Najman, L., Schmitt, M.: Watershed of a continuous function. Signal Process.\u00a038(1), 99\u2013112 (1994)","journal-title":"Signal Process."},{"issue":"1","key":"16_CR9","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1016\/0165-1684(94)90060-4","volume":"38","author":"F. Meyer","year":"1994","unstructured":"Meyer, F.: Topographic distance and watershed lines. Signal Processing\u00a038(1), 113\u2013125 (1994)","journal-title":"Signal Processing"},{"issue":"6","key":"16_CR10","doi-asserted-by":"publisher","first-page":"583","DOI":"10.1109\/34.87344","volume":"13","author":"L. Vincent","year":"1991","unstructured":"Vincent, L., Soille, P.: Watersheds in digital spaces: An efficient algorithm based on immersion simulations. IEEE Trans. Pattern Anal. Mach. Intell.\u00a013(6), 583\u2013598 (1991), doi:10.1109\/34.87344","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"3","key":"16_CR11","doi-asserted-by":"crossref","first-page":"330","DOI":"10.1109\/TPAMI.2003.1182096","volume":"25","author":"H. Nguyen","year":"2003","unstructured":"Nguyen, H., Worring, M., van den Boomgaard, R.: Watersnakes: Energy-driven watershed segmentation. IEEE Trans. on PAMI\u00a025(3), 330\u2013342 (2003), citeseer.ist.psu.edu\/article\/.html","journal-title":"IEEE Trans. on PAMI"},{"key":"16_CR12","doi-asserted-by":"publisher","first-page":"577","DOI":"10.1002\/cpa.3160420503","volume":"42","author":"D. Mumford","year":"1989","unstructured":"Mumford, D., Shah, J.: Optimal approximation by piecewise smooth functions and associated variational problems. Communications on Pure Applied Mathematics\u00a042, 577\u2013685 (1989)","journal-title":"Communications on Pure Applied Mathematics"},{"key":"16_CR13","doi-asserted-by":"publisher","first-page":"266","DOI":"10.1109\/83.902291","volume":"10","author":"T. Chan","year":"2001","unstructured":"Chan, T., Vese, L.: Active contours without edges. IEEE Trans. on Image Processing\u00a010, 266\u2013277 (2001)","journal-title":"IEEE Trans. on Image Processing"},{"key":"16_CR14","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1016\/0021-9991(88)90002-2","volume":"79","author":"S. Osher","year":"1988","unstructured":"Osher, S., Sethian, J.A.: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics\u00a079, 12\u201349 (1988), citeseer.ist.psu.edu\/osher88fronts.html","journal-title":"Journal of Computational Physics"},{"issue":"255","key":"16_CR15","doi-asserted-by":"publisher","first-page":"1155","DOI":"10.1090\/S0025-5718-06-01835-7","volume":"75","author":"J. Lie","year":"2006","unstructured":"Lie, J., Lysaker, M., Tai, X.-C.: A variant of the level set method and applications to image segmentation. Mathematics of Computation\u00a075(255), 1155\u20131174 (2006)","journal-title":"Mathematics of Computation"},{"key":"16_CR16","doi-asserted-by":"crossref","unstructured":"Felkel, P., Bruckschwaiger, M., Wegenkittl, R.: Implementation and complexity of the watershed-from-markers algorithm computed as a minimal cost forest. Computer Graphics Forum\u00a020(3) (2001)","DOI":"10.1111\/1467-8659.00495"},{"issue":"9","key":"16_CR17","doi-asserted-by":"publisher","first-page":"1522","DOI":"10.1109\/83.862630","volume":"9","author":"S.G. Chang","year":"2000","unstructured":"Chang, S.G., Yu, B., Vetterli, M.: Spatially adaptive wavelet thresholding with context modeling for image denoising. IEEE Transactions on Image Processing\u00a09(9), 1522\u20131531 (2000)","journal-title":"IEEE Transactions on Image Processing"},{"issue":"9","key":"16_CR18","doi-asserted-by":"publisher","first-page":"961","DOI":"10.1002\/cyto.a.20302","volume":"69","author":"E. Hodneland","year":"2006","unstructured":"Hodneland, E., et al.: Automated detection of tunneling nanotubes in 3d images. Cytometry Part A\u00a069(9), 961\u2013972 (2006)","journal-title":"Cytometry Part A"},{"issue":"1-2","key":"16_CR19","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1023\/B:JMIV.0000011318.77653.44","volume":"20","author":"P.A. Arbel\u00e9z","year":"2004","unstructured":"Arbel\u00e9z, P.A., Cohen, L.D.: Energy partitions and image segmentation. J. Math. Imaging Vis.\u00a020(1-2), 43\u201357 (2004)","journal-title":"J. Math. Imaging Vis."},{"key":"16_CR20","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1215\/ijm\/1256049011","volume":"21","author":"K.I. Appel","year":"1977","unstructured":"Appel, K.I., Haken, W.: Every planar map is four colorable. Illinois J. Math.\u00a021, 429\u2013567 (1977)","journal-title":"Illinois J. Math."},{"key":"16_CR21","doi-asserted-by":"crossref","unstructured":"Robertson, N., et al.: A new proof of the four colour theorem. Electronic Research Announcements of the American Mathematical Society\u00a02(1) (1996), citeseer.ist.psu.edu\/robertson96new.html","DOI":"10.1090\/S1079-6762-96-00003-0"},{"key":"16_CR22","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1007\/BFb0086904","volume-title":"Approximation Methods for Navier\u2013Stokes Problems","author":"A. Dervieux","year":"1979","unstructured":"Dervieux, A., Thomasset, F.: A finite element method for the simulation of Rayleigh\u2013Taylor instability. In: Rautman, R. (ed.) Approximation Methods for Navier\u2013Stokes Problems. Lecture Notes in Mathematics, vol.\u00a0771, pp. 145\u2013158. Springer, Heidelberg (1979)"}],"container-title":["Lecture Notes in Computer Science","Scale Space and Variational Methods in Computer Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-72823-8_16.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T09:48:21Z","timestamp":1619516901000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-72823-8_16"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540728221","9783540728238"],"references-count":22,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-72823-8_16","relation":{},"subject":[]}}