{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T05:32:31Z","timestamp":1725514351852},"publisher-location":"Berlin, Heidelberg","reference-count":21,"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_59","type":"book-chapter","created":{"date-parts":[[2007,7,22]],"date-time":"2007-07-22T21:40:19Z","timestamp":1185140419000},"page":"687-696","source":"Crossref","is-referenced-by-count":0,"title":["Piecewise Constant Level Set Method for 3D Image Segmentation"],"prefix":"10.1007","author":[{"given":"Are","family":"Losneg\u00e5rd","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Oddvar","family":"Christiansen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xue-Cheng","family":"Tai","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"issue":"2","key":"59_CR1","doi-asserted-by":"publisher","first-page":"463","DOI":"10.1006\/jcph.2000.6636","volume":"169","author":"S. Osher","year":"2001","unstructured":"Osher, S., Fedkiw, R.: An overview and some recent results. J. Comput. Phys\u00a0169(2), 463\u2013502 (2001)","journal-title":"J. Comput. Phys"},{"issue":"1","key":"59_CR2","first-page":"25","volume":"1","author":"X.C. Tai","year":"2004","unstructured":"Tai, X.C., Chan, T.F.: A survey on multiple level set methods with applications for identifying piecewise constant functions. Int. J. Numer. Anal. Model\u00a01(1), 25\u201347 (2004)","journal-title":"Int. J. Numer. Anal. Model"},{"key":"59_CR3","unstructured":"Osher, S., Burger, M.: A survey on level set methods for inverse problems and optimal design. Cam-report-04-02, UCLA, Applied Mathematics (2004)"},{"key":"59_CR4","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 new multiphase level set framework for image segmentation via the Mumford and Shah model. International Journal of Computer Vision\u00a050, 271\u2013293 (2002)","journal-title":"International Journal of Computer Vision"},{"key":"59_CR5","unstructured":"Chan, T.F., Vese, L.A.: Image segmentation using level sets and the piecewise constant mumford-shah model. Technical report, CAM Report 00-14, UCLA, Math. Depart (April 2000, revised December 2000)"},{"key":"59_CR6","doi-asserted-by":"crossref","unstructured":"Osher, S., Sethian, J.: Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys.\u00a079(1) (1988)","DOI":"10.1016\/0021-9991(88)90002-2"},{"key":"59_CR7","doi-asserted-by":"crossref","unstructured":"Chan, T., Vese, L.: Active contours without edges. In: IEEE Image Proc., vol.\u00a010, pp. 266\u2013277 (2001)","DOI":"10.1109\/83.902291"},{"key":"59_CR8","doi-asserted-by":"crossref","unstructured":"Lie, J., Lysaker, M., Tai, X.C.: A variant of the level set method and applications to image segmentation. Math. Comp.\u00a075(255) (2006)","DOI":"10.1090\/S0025-5718-06-01835-7"},{"issue":"3","key":"59_CR9","first-page":"435","volume":"24","author":"X.-c. Tai","year":"2006","unstructured":"Tai, X.-c., Yao, C.-h.: Image segmentation by piecewise constant Mumford-Shah model without estimating the constants. J. Comput. Math.\u00a024(3), 435\u2013443 (2006)","journal-title":"J. Comput. Math."},{"key":"59_CR10","first-page":"253","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: Image processing based on partial differential equations, pp. 253\u2013272. Springer, Heidelberg (2006)"},{"issue":"1","key":"59_CR11","doi-asserted-by":"publisher","first-page":"179","DOI":"10.1006\/jcph.1996.0167","volume":"127","author":"H.-K. Zhao","year":"1996","unstructured":"Zhao, H.-K., et al.: A variational level set approach to multiphase motion. J. Comput. Phys.\u00a0127(1), 179\u2013195 (1996)","journal-title":"J. Comput. Phys."},{"key":"59_CR12","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1023\/A:1020874308076","volume":"50","author":"L. Vese","year":"2002","unstructured":"Vese, L., Chan, T.: A new multiphase level set framework for image segmentation via the Mumford and Shah model. International Journal of Computer Vision\u00a050, 271\u2013293 (2002)","journal-title":"International Journal of Computer Vision"},{"key":"59_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","DOI":"10.1007\/11585978_29","volume-title":"Energy Minimization Methods in Computer Vision and Pattern Recognition","author":"J.T. Chung","year":"2005","unstructured":"Chung, J.T., Vese, A.: Energy minimization based segmentation and denoising using a multilayer level set approach. In: Rangarajan, A., Vemuri, B.C., Yuille, A.L. (eds.) EMMCVPR 2005. LNCS, vol.\u00a03757, Springer, Heidelberg (2005)"},{"key":"59_CR14","unstructured":"Song, B., Chan, T.F.: Fast algorithm for level set segmentation. UCLA CAM report 02-68 (2002)"},{"key":"59_CR15","unstructured":"Gibou, F., Fedkiw, R.: A fast hybrid k-means level set algorithm for segmentation. In: 4th Annual Hawaii International Conference on Statistics and Mathematics, pp. 281\u2013291 (2005)"},{"issue":"1","key":"59_CR16","doi-asserted-by":"publisher","first-page":"367","DOI":"10.1016\/j.jcp.2005.05.027","volume":"211","author":"S. Esedoglu","year":"2006","unstructured":"Esedo\u1e21lu, S., Tsai, Y.H.R.: Threshold dynamics for the piecewise constant Mumford-Shah functional. J. Comput. Phys.\u00a0211(1), 367\u2013384 (2006)","journal-title":"J. Comput. Phys."},{"key":"59_CR17","unstructured":"Shi, Y., Karl, W.C.: A fast level set method without solving pdes. In: ICASSP\u201905 (2005)"},{"key":"59_CR18","doi-asserted-by":"crossref","unstructured":"Goldenberg, R., et al.: Cortex Segmentation: A Fast Variational Geometric Approach. IEEE Transactions on medical imaging\u00a021(2) (2002)","DOI":"10.1109\/TMI.2002.806594"},{"key":"59_CR19","doi-asserted-by":"crossref","unstructured":"Holtzman-Gazit, M., et al.: Segmentation of Thin Structures in Volumetric Medical Images. IEEE Transactions on image processing\u00a015(2) (2006)","DOI":"10.1109\/TIP.2005.860624"},{"key":"59_CR20","doi-asserted-by":"crossref","unstructured":"Mumford, D., Shah, J.: Optimal approximation by piecewise smooth functions and associated variational problems. Comm. Pure Appl. Math, 42 (1989)","DOI":"10.1002\/cpa.3160420503"},{"key":"59_CR21","unstructured":"McConnell Brain Imaging\u00a0Centre, Montr\u00e9al Neurological\u00a0Institute, M.U.: Brainweb (12.6.2006), http:\/\/www.bic.mni.mcgill.ca\/brainweb\/"}],"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_59.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T09:48:39Z","timestamp":1619516919000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-72823-8_59"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540728221","9783540728238"],"references-count":21,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-72823-8_59","relation":{},"subject":[]}}