{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,23]],"date-time":"2025-09-23T13:57:27Z","timestamp":1758635847432},"reference-count":56,"publisher":"Elsevier","isbn-type":[{"value":"9780123875822","type":"print"}],"license":[{"start":{"date-parts":[[2005,1,1]],"date-time":"2005-01-01T00:00:00Z","timestamp":1104537600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2005]]},"DOI":"10.1016\/b978-012387582-2\/50008-3","type":"book-chapter","created":{"date-parts":[[2007,8,9]],"date-time":"2007-08-09T11:32:10Z","timestamp":1186659130000},"page":"97-123","source":"Crossref","is-referenced-by-count":2,"title":["Isosurfaces and Level-Sets"],"prefix":"10.1016","author":[{"given":"ROSS T.","family":"WHITAKER","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/B978-012387582-2\/50008-3_bib1","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/0021-9991(88)90002-2","article-title":"Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations","volume":"79","author":"Osher","year":"1988","journal-title":"Journal of Computational Physics"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib2","author":"Sethian","year":"1999"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib3","author":"Fedkiw","year":"2002"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib4","series-title":"Visualization In Biomedical Computing 1994","first-page":"122","article-title":"Volumetric deformable models: active blobs","author":"Whitaker","year":"1994"},{"issue":"2","key":"10.1016\/B978-012387582-2\/50008-3_bib5","doi-asserted-by":"crossref","first-page":"158","DOI":"10.1109\/34.368173","article-title":"Shape modeling with front propagation: a levelset approach","volume":"17","author":"Malladi","year":"1995","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib6","series-title":"Proceedings of ACM Intnl. Wkshp. on Volume Graphics","first-page":"159","article-title":"A framework for level-set segmentation of volume datasets","author":"Whitaker","year":"2001"},{"issue":"4","key":"10.1016\/B978-012387582-2\/50008-3_bib7","doi-asserted-by":"crossref","first-page":"1012","DOI":"10.1145\/944020.944024","article-title":"Geometric surface processing via normal maps","volume":"22","author":"Tasdizen","year":"2003","journal-title":"ACM Trans. on Graphics"},{"issue":"2","key":"10.1016\/B978-012387582-2\/50008-3_bib8","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1109\/2945.928169","article-title":"A level-set approach to 3D shape metamorphosis","volume":"7","author":"Breen","year":"2001","journal-title":"IEEE Transactions on Visualization and Computer Graphics"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib9","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/S1361-8415(02)00082-8","article-title":"A direct approach to estimating surfaces in tomographic data","volume":"6","author":"Whitaker","year":"2002","journal-title":"Medical Image Analysis"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib10","doi-asserted-by":"crossref","unstructured":"K. Museth, D. Breen, L. Zhukov, and R. Whitaker. Level-set segmentation from multiple non-uniform volume datasets. In IEEE Visualization 2002, pages 179\u2013186, 2002.","DOI":"10.1109\/VISUAL.2002.1183773"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib11","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1145\/357306.357310","article-title":"A generalization of algebraic surface drawing","volume":"1","author":"Blinn","year":"1982","journal-title":"ACM Trans. on Graphics"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib12","first-page":"227","article-title":"Volumetric shape description of range data using \u201cblobby model\u201d","volume":"25","author":"Muraki","year":"1991"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib13","series-title":"The 1998 Symp. on Volume Visualization","first-page":"7","article-title":"3D scan conversion of CSG models into distance volumes","author":"Breen","year":"1998"},{"issue":"4","key":"10.1016\/B978-012387582-2\/50008-3_bib14","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1145\/37402.37422","article-title":"Marching cubes: a high resolution 3D surface construction algorithm","volume":"21","author":"Lorenson","year":"1982","journal-title":"Computer Graphics"},{"issue":"3","key":"10.1016\/B978-012387582-2\/50008-3_bib15","first-page":"245","article-title":"Display of surfaces from volume data","volume":"9","author":"Levoy","year":"1990","journal-title":"IEEE Computer Graphics and Applications"},{"issue":"4","key":"10.1016\/B978-012387582-2\/50008-3_bib16","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1145\/378456.378484","article-title":"Volume rendering","volume":"22","author":"Drebin","year":"1988","journal-title":"Computer Graphics"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib17","series-title":"Proc. IEEE Visualization 2003","first-page":"513","article-title":"Curvature-based transfer functions for direct volume rendering: methods and applications","author":"Kindlmann","year":"2003"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib18","author":"Koenderink","year":"1990"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib19","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1007\/BF00133570","article-title":"Snakes: active contous models","volume":"1","author":"Kass","year":"1987","journal-title":"International Journal of Computer Vision"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib20","doi-asserted-by":"crossref","first-page":"306","DOI":"10.1007\/BF01908877","article-title":"Deformable models","volume":"4","author":"Terzopoulos","year":"1988","journal-title":"The Visual Computer"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib21","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/0021-9991(88)90002-2","article-title":"Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations","volume":"79","author":"Osher","year":"1988","journal-title":"Journal of Computational Physics"},{"issue":"4","key":"10.1016\/B978-012387582-2\/50008-3_bib22","doi-asserted-by":"crossref","first-page":"1591","DOI":"10.1073\/pnas.93.4.1591","article-title":"A fast marching level-set method for monotonically advancing fronts","volume":"93","author":"Sethian","year":"1996","journal-title":"Proc. Nat. Acad. Sci."},{"key":"10.1016\/B978-012387582-2\/50008-3_bib23","author":"Sethian","year":"1996"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib24","article-title":"Level set methods: an overview and some recent results","author":"Osher","year":"2000"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib25","doi-asserted-by":"crossref","unstructured":"L. Alvarez and J.-M. Morel. A morphological approach to multiscale analysis: from principles to equations. In Geometry-Driven Diffusion in Computer Vision, pages 4\u201321, 1994.","DOI":"10.1007\/978-94-017-1699-4_10"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib26","series-title":"Fifth International Conference on Computer Vision","first-page":"694","article-title":"Geodesic active contours","author":"Caselles","year":"1995"},{"issue":"5","key":"10.1016\/B978-012387582-2\/50008-3_bib27","doi-asserted-by":"crossref","first-page":"154","DOI":"10.1016\/0010-4485(93)90040-U","article-title":"Shape offsets via level sets","volume":"25","author":"Kimmel","year":"1993","journal-title":"Computer Aided Design"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib28","series-title":"The Third International Workshop on Implicit Surfaces","first-page":"19","article-title":"Level-set models for the deformation of solid objects","author":"Whitaker","year":"1998"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib29","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1023\/A:1008036829907","article-title":"A level-set approach to 3D reconstruction from range data","author":"Whitaker","year":"1998","journal-title":"International Journal of Computer Vision"},{"issue":"3","key":"10.1016\/B978-012387582-2\/50008-3_bib30","first-page":"271","article-title":"A multiphase level-set framework for image segmentation using the Mumford and Shah model","volume":"50","author":"Chan","year":"2000","journal-title":"International Journal of Computer Vision"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib31","series-title":"Fifth International Conference on Computer Vision","article-title":"Algorithms for implicit deformable models","author":"Whitaker","year":"1995"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib32","series-title":"Fifth Int. Conf. on Comp. Vision","first-page":"810","article-title":"Gradient flows and geometric active contour models","author":"Kichenassamy","year":"1995"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib33","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1109\/42.563665","article-title":"A geometric snake model for segmentation of medical imagery","volume":"16","author":"Yezzi","year":"1997","journal-title":"IEEE Transactions on Medical Imaging"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib34","series-title":"Medical Image Computing and Computer-Assisted Intervention (MICCAI '98)","first-page":"1195","article-title":"Segmentation of bone in clinical knee MRI using texture-based geodesic active contours","author":"Lorigo","year":"1998"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib35","series-title":"IEEE International Conference on Image Processing","first-page":"142","article-title":"Variable-conductance, level-set curvature for image denoising","author":"Whitaker","year":"2001"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib36","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1006\/jcph.1995.1098","article-title":"A fast level-set method for propagating interfaces","author":"Adalsteinson","year":"1995","journal-title":"Journal of Computational Physics"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib37","first-page":"47","article-title":"Shape transformation for polyhedral objects","volume":"26","author":"Kent","year":"1992"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib38","first-page":"C","article-title":"AGRELS and BIPs: metamorphosis as a bezier curve in the space of polyhedra","volume":"13","author":"Rossignac","year":"1994"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib39","first-page":"43","article-title":"Scheduled fourier volume morphing","volume":"26","author":"Hughes","year":"1992"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib40","series-title":"SIGGRAPH '95 Proceedings","first-page":"449","article-title":"Feature-based volume metamorphosis","author":"Lerios","year":"1995"},{"issue":"1","key":"10.1016\/B978-012387582-2\/50008-3_bib41","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1109\/38.135885","article-title":"Distance field manipulation of surface models","volume":"12","author":"Payne","year":"1992","journal-title":"IEEE Computer Graphics and Applications"},{"issue":"2","key":"10.1016\/B978-012387582-2\/50008-3_bib42","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1145\/274363.274366","article-title":"3D distance field metamorphosis","volume":"17","author":"Cohen-Or","year":"1998","journal-title":"ACM Transactions on Graphics"},{"issue":"3","key":"10.1016\/B978-012387582-2\/50008-3_bib43","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1007\/BF01901069","article-title":"An object-oriented architecture for a computer animation system","volume":"6","author":"Getto","year":"1990","journal-title":"The Visual Computer"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib44","doi-asserted-by":"crossref","unstructured":"K. Museth, D. Breen, R. Whitaker, and A. Barr. Level-set surface editing operators. In ACM SIGGRAPH, pages 330\u2013338, 2002.","DOI":"10.1145\/566570.566585"},{"issue":"6","key":"10.1016\/B978-012387582-2\/50008-3_bib45","doi-asserted-by":"crossref","first-page":"922","DOI":"10.1109\/83.503909","article-title":"Differential morphology and image processing","volume":"5","author":"Maragos","year":"1996","journal-title":"IEEE Transactions on Image Processing"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib46","series-title":"IEEE Symp. on Volume Visualization and Graphics","first-page":"23","article-title":"Reducing aliasing artifacts in isosurfaces of binary volumes","author":"Whitaker","year":"2000"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib47","series-title":"1998 Symposium on Volume Graphics","first-page":"23","article-title":"Using distance maps for accurate surface representation in sampled volumes","author":"Gibson","year":"1991"},{"issue":"5","key":"10.1016\/B978-012387582-2\/50008-3_bib48","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1109\/38.310721","article-title":"Volume-sampled 3D modeling","volume":"14","author":"Wang","year":"1994","journal-title":"IEEE Computer Graphics and Aplications"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib49","series-title":"Proceedings of the 1993 Symposium on Volume Visualization","first-page":"78","article-title":"Volume-sampled voxelization of goemetric primitives","author":"Wang","year":"1993"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib50","doi-asserted-by":"crossref","unstructured":"U. Tiede, T. Schiemann, and K. H\u00f6hne. High quality rendering of attibuted volume data. In IEEE Visualization 1998, pages 255\u2013262, 1998.","DOI":"10.1109\/VISUAL.1998.745311"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib51","doi-asserted-by":"crossref","first-page":"3223","DOI":"10.1073\/pnas.88.8.3223","article-title":"Bayesian image reconstruction for emission tomography incorporating Good's roughness prior on massively parallel processors","volume":"88","author":"Miller","year":"1991","journal-title":"Proc. Natl. Acad. Sci."},{"issue":"2","key":"10.1016\/B978-012387582-2\/50008-3_bib52","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/S1361-8415(96)80007-7","article-title":"Deformable models in medical image analysis: a survey","volume":"1","author":"McInerney","year":"1996","journal-title":"Medical Image Analysis"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib53","author":"Cooper","year":"1970"},{"issue":"10","key":"10.1016\/B978-012387582-2\/50008-3_bib54","doi-asserted-by":"crossref","first-page":"1372","DOI":"10.1109\/TPAMI.2002.1039208","article-title":"A maximum likelihood surface estimator for dense range data","volume":"24","author":"Whitaker","year":"2002","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"7","key":"10.1016\/B978-012387582-2\/50008-3_bib55","doi-asserted-by":"crossref","first-page":"878","DOI":"10.1109\/TPAMI.2004.31","article-title":"Higher-order nonlinear priors for surface reconstruction","volume":"26","author":"Tasdizen","year":"2004","journal-title":"IEEE Trans. on Pattern Recognition and Machine Intelligence"},{"key":"10.1016\/B978-012387582-2\/50008-3_bib56","doi-asserted-by":"crossref","DOI":"10.1109\/34.56205","article-title":"Scale-space and edge detection using anisotropic diffusion","volume":"12","author":"Perona","year":"1990","journal-title":"IEEE Transactions on Pattern Analysis Machine Intelligence"}],"container-title":["Visualization Handbook"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:B9780123875822500083?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:B9780123875822500083?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,5,1]],"date-time":"2019-05-01T21:24:54Z","timestamp":1556745894000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/B9780123875822500083"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005]]},"ISBN":["9780123875822"],"references-count":56,"URL":"https:\/\/doi.org\/10.1016\/b978-012387582-2\/50008-3","relation":{},"subject":[],"published":{"date-parts":[[2005]]}}}