{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,11,19]],"date-time":"2023-11-19T13:45:03Z","timestamp":1700401503081},"reference-count":38,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1997,1,1]],"date-time":"1997-01-01T00:00:00Z","timestamp":852076800000},"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":["Computer-Aided Design"],"published-print":{"date-parts":[[1997,1]]},"DOI":"10.1016\/s0010-4485(96)00036-x","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T19:04:40Z","timestamp":1027623880000},"page":"5-19","source":"Crossref","is-referenced-by-count":43,"title":["An accelerated triangulation method for computing the skeletons of free-form solid models"],"prefix":"10.1016","volume":"29","author":[{"given":"George M","family":"Turkiyyah","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Duane W","family":"Storti","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mark","family":"Ganter","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hao","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Munikumar","family":"Vimawala","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0010-4485(96)00036-X_BIB1","series-title":"Graphics Gems IV","first-page":"324","article-title":"An implicit surface polygonizer","author":"Bloomenthal","year":"1994"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB2","series-title":"Models for the Perception of Speech and Visual Form","first-page":"362","article-title":"A transformation for extracting new descriptors of shape","author":"Blum","year":"1967"},{"issue":"4","key":"10.1016\/S0010-4485(96)00036-X_BIB3","doi-asserted-by":"crossref","DOI":"10.1145\/357346.357349","article-title":"Geometric surfaces for 3-dimensional shape representation","volume":"3","author":"Boissonnat","year":"1984","journal-title":"ACM Transactions on Graphics"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB4","article-title":"Theory and application of the skeleton representation of continuous shapes","author":"Brandt","year":"1991"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB5","article-title":"The Euclidean distance transform","author":"Chiang","year":"1992"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB6","article-title":"How to compute offsets without self-intersection","volume":"Vol. 1610","author":"Chiang","year":"1991"},{"issue":"2","key":"10.1016\/S0010-4485(96)00036-X_BIB7","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1109\/38.365006","article-title":"Voronoi diagrams for planar shapes","volume":"15","author":"Chou","year":"1995","journal-title":"IEEE Computer Graphics and Applications"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB8","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1016\/0146-664X(80)90054-4","article-title":"Euclidean distance mapping","volume":"14","author":"Danielsson","year":"1980","journal-title":"Computer Graphics and Image Processing"},{"issue":"1","key":"10.1016\/S0010-4485(96)00036-X_BIB9","doi-asserted-by":"crossref","DOI":"10.1145\/42188.42265","article-title":"Geometric continuity, shape parameters, and geometric constructions for Catmull-Rom splines","volume":"7","author":"DeRose","year":"1988","journal-title":"ACM Transactions on Graphics"},{"issue":"1","key":"10.1016\/S0010-4485(96)00036-X_BIB10","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1115\/1.2919330","article-title":"On the skeleton of simple CSG objects","volume":"115","author":"Dutta","year":"1992","journal-title":"ASME Journal of Mechanical Design"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB11","author":"Faugeras","year":"1993"},{"issue":"2","key":"10.1016\/S0010-4485(96)00036-X_BIB12","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1016\/0167-8396(94)E0055-V","article-title":"Boundary surface recovery from skeleton curves and surfaces","volume":"12","author":"Gelston","year":"1995","journal-title":"Computer-Aided Geometric Design"},{"issue":"3","key":"10.1016\/S0010-4485(96)00036-X_BIB13","article-title":"An automated coarse and fine surface mesh generation scheme based on medial axis transform, part 1: Algorithms","volume":"8","author":"Gursoy","year":"1992","journal-title":"Engineering with Computers"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB14","series-title":"Procedure 6th Canadian Conference Computers in Geometry","first-page":"128","article-title":"On computing Voronoi diagrams of convex polyhedra by means of wavefront propagation","author":"Held","year":"1992"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB15","series-title":"Proceedings of the Fourth IM A Conference: The Mathematics of Surfaces","first-page":"77","article-title":"How to construct the skeletons of CSG objects","author":"Hoffmann","year":"1994"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB16","series-title":"Workshop on Computational Geometry","first-page":"175","article-title":"Constrained surface computations and applications in geomeric modeling","author":"Hoffmann","year":"1993"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB17","author":"Hoffmann","year":"1994","journal-title":"Validity Determination for MAT Surface Representation"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB18","series-title":"SIGGRAPH 93","first-page":"19","article-title":"Mesh optimization","author":"Hoppe","year":"1993"},{"issue":"2","key":"10.1016\/S0010-4485(96)00036-X_BIB19","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1109\/TPAMI.1982.4767267","article-title":"Medial axis transformation of a planar shape","volume":"4","author":"Lee","year":"1982","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"1","key":"10.1016\/S0010-4485(96)00036-X_BIB20","doi-asserted-by":"crossref","DOI":"10.1109\/34.107013","article-title":"Simulating the grassfire transform using an active contour model","volume":"14","author":"Leymarie","year":"1992","journal-title":"IEEE PAMI"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB21","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1016\/0146-664X(82)90072-7","article-title":"Curvature relations in three-dimensional symmetric axes","volume":"20","author":"Nackman","year":"1982","journal-title":"Computer Graphics and Image Processing"},{"issue":"2","key":"10.1016\/S0010-4485(96)00036-X_BIB22","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1109\/TPAMI.1985.4767643","article-title":"Three-dimensional shape description using the symmetric axis transform i: Theory","volume":"7","author":"Nackman","year":"1985","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"3","key":"10.1016\/S0010-4485(96)00036-X_BIB23","doi-asserted-by":"crossref","DOI":"10.5957\/jsr.1992.36.3.233","article-title":"Feature extraction from B-spline marine propeller representations","volume":"36","author":"Patrikalakis","year":"1992","journal-title":"Journal of Ship Research"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB24","first-page":"77","article-title":"Shape interrogation by medial axis transform","volume":"Vol. 1","author":"Patrikalakis","year":"1990"},{"issue":"9","key":"10.1016\/S0010-4485(96)00036-X_BIB25","doi-asserted-by":"crossref","first-page":"677","DOI":"10.1016\/0010-4485(94)00025-9","article-title":"Computation of 3D skeletons by a generalized Delaunay triangulation technique","volume":"27","author":"Reddy","year":"1995","journal-title":"Computer-Aided Design"},{"issue":"2","key":"10.1016\/S0010-4485(96)00036-X_BIB26","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1093\/comjnl\/16.2.157","article-title":"A constructive geometry for computer graphics","volume":"16","author":"Ricci","year":"1972","journal-title":"The Computer Journal"},{"issue":"3","key":"10.1016\/S0010-4485(96)00036-X_BIB27","doi-asserted-by":"crossref","DOI":"10.1007\/BF02274211","article-title":"An O(N) algorithm to automatically generate geometric triangulations satisfying the Delaunay circumsphere criteria","volume":"5","author":"Schroeder","year":"1989","journal-title":"Engineering with Computers"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB28","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/0262-8856(89)90022-X","article-title":"Using a mixed wave\/diffusion process to elicit the symmetry set","volume":"7","author":"Scott","year":"1989","journal-title":"Image and Vision Computing"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB29","series-title":"Proceedings of the Third Symposium on Solid Modeling and Applications","first-page":"201","article-title":"Computing the medial surface of a solid from a domain Delaunay triangulation","author":"Sheehy","year":"1995"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB30","series-title":"Proceedings of the Third Symposium on Solid Modeling and Applications","first-page":"187","article-title":"Computation of the medial axis transform of 3-d polyhedra","author":"Sherbrooke","year":"1995"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB31","first-page":"199","article-title":"Publish or Perish","volume":"Vol. 3","author":"Spivak","year":"1975","journal-title":"A Comprehensive Introduction to Differential Geometry"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB32","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1147\/rd.313.0361","article-title":"Voronoi diagram of multiply connected polygonal domains","volume":"31","author":"Srinivasan","year":"1987","journal-title":"IBM Journal of Research and Development"},{"issue":"3","key":"10.1016\/S0010-4485(96)00036-X_BIB33","first-page":"70","article-title":"A tutorial on implicit solid modeling","volume":"2","author":"Storti","year":"1992","journal-title":"Mathematica"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB34","series-title":"Proceedings of the Second Symposium on Solid Modeling and Applications","first-page":"85","article-title":"Continuous skeletons of discrete objects","author":"Sudhalkar","year":"1993"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB35","article-title":"Generation and interpretation of finite element models in a knowledge based environment","author":"Turkiyyah","year":"1990"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB36","article-title":"Computational procedures for topological shape design","author":"Vimawala","year":"1994"},{"key":"10.1016\/S0010-4485(96)00036-X_BIB37","unstructured":"Wolter, F.-E., Cut locus and medial axis in global shape interrogation and representation. Computer-Aided Geometric Design (in press)."},{"key":"10.1016\/S0010-4485(96)00036-X_BIB38","doi-asserted-by":"crossref","first-page":"124","DOI":"10.1016\/0734-189X(90)90126-G","article-title":"3D symmetry-curvature duality theorems","volume":"52","author":"Yuille","year":"1992","journal-title":"Computer Vision. Graphics and Image Processing"}],"container-title":["Computer-Aided Design"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S001044859600036X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S001044859600036X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2021,5,10]],"date-time":"2021-05-10T05:55:09Z","timestamp":1620626109000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S001044859600036X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,1]]},"references-count":38,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1997,1]]}},"alternative-id":["S001044859600036X"],"URL":"https:\/\/doi.org\/10.1016\/s0010-4485(96)00036-x","relation":{},"ISSN":["0010-4485"],"issn-type":[{"value":"0010-4485","type":"print"}],"subject":[],"published":{"date-parts":[[1997,1]]}}}