{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,4]],"date-time":"2026-03-04T18:15:10Z","timestamp":1772648110020,"version":"3.50.1"},"reference-count":19,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[2002,5,1]],"date-time":"2002-05-01T00:00:00Z","timestamp":1020211200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":4095,"URL":"http:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational Geometry"],"published-print":{"date-parts":[[2002,5]]},"DOI":"10.1016\/s0925-7721(01)00052-9","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T14:26:50Z","timestamp":1027607210000},"page":"167-183","source":"Crossref","is-referenced-by-count":22,"title":["Improving continuity of Voronoi-based interpolation over\u00a0Delaunay spheres"],"prefix":"10.1016","volume":"22","author":[{"given":"Hisamoto","family":"Hiyoshi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kokichi","family":"Sugihara","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0925-7721(01)00052-9_BIB001","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1137\/0216006","article-title":"Power diagrams: Properties, algorithms and applications","volume":"16","author":"Aurenhammer","year":"1987","journal-title":"SIAM J. Comput."},{"key":"10.1016\/S0925-7721(01)00052-9_BIB002","first-page":"45","article-title":"Linear combinations from power domains","volume":"28","author":"Aurenhammer","year":"1988","journal-title":"Geometriae Dedicate"},{"key":"10.1016\/S0925-7721(01)00052-9_BIB003","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/0166-218X(90)90108-O","article-title":"A relationship between Gale transforms and Voronoi diagrams","volume":"28","author":"Aurenhammer","year":"1990","journal-title":"Discrete Appl. Math."},{"key":"10.1016\/S0925-7721(01)00052-9_BIB004","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1145\/116873.116880","article-title":"Voronoi diagrams\u2014A survey of a fundamental geometric data structure","volume":"23","author":"Aurenhammer","year":"1991","journal-title":"ACM Comput. Surveys"},{"key":"10.1016\/S0925-7721(01)00052-9_BIB005","series-title":"Proceedings of 16th Annual Symposium on Computational Geometry, Hong Kong","first-page":"223","article-title":"Smooth shape reconstruction via natural neighbor interpolation of distance functions","author":"Boissonnat","year":"2000"},{"key":"10.1016\/S0925-7721(01)00052-9_BIB006","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1016\/S0167-8396(96)00045-3","article-title":"Systems of coordinates associated with points scattered in the plane","volume":"14","author":"Brown","year":"1997","journal-title":"Computer Aided Geometric Design"},{"key":"10.1016\/S0925-7721(01)00052-9_BIB007","series-title":"Algorithms in Combinatorial Geometry","author":"Edelsbrunner","year":"1987"},{"key":"10.1016\/S0925-7721(01)00052-9_BIB008","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1016\/0167-8396(90)90036-Q","article-title":"Surfaces over Dirichlet tessellations","volume":"7","author":"Farin","year":"1990","journal-title":"Computer Aided Geometric Design"},{"key":"10.1016\/S0925-7721(01)00052-9_BIB009","series-title":"Computing in Euclidean Geometry","first-page":"225","article-title":"Voronoi diagrams and Delaunay triangulations","author":"Fortune","year":"1995"},{"key":"10.1016\/S0925-7721(01)00052-9_BIB010","series-title":"Convex Polytopes","author":"Gr\u00fcnbaum","year":"1967"},{"key":"10.1016\/S0925-7721(01)00052-9_BIB011","series-title":"Study on interpolation based on Voronoi diagrams, Ph.D. Thesis","author":"Hiyoshi","year":"2000"},{"key":"10.1016\/S0925-7721(01)00052-9_BIB012","series-title":"Proceedings of Geometric Modeling and Processing 2000, Hong Kong","first-page":"129","article-title":"A sequence of generalized coordinate systems based on Voronoi diagrams and its application to interpolation","author":"Hiyoshi","year":"2000"},{"key":"10.1016\/S0925-7721(01)00052-9_BIB013","series-title":"Spatial Tessellations: Concepts and Applications of Voronoi Diagrams","author":"Okabe","year":"1992"},{"key":"10.1016\/S0925-7721(01)00052-9_BIB014","series-title":"Geometric Modelling","first-page":"227","article-title":"Properties of local coordinates based on Dirichlet tessellations","author":"Piper","year":"1993"},{"key":"10.1016\/S0925-7721(01)00052-9_BIB015","series-title":"Computational Geometry","author":"Preparata","year":"1985"},{"key":"10.1016\/S0925-7721(01)00052-9_BIB016","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1017\/S0305004100056589","article-title":"A vector identity for the Dirichlet tessellation","volume":"87","author":"Sibson","year":"1980","journal-title":"Math. Proc. Cambridge Philos. Soc."},{"key":"10.1016\/S0925-7721(01)00052-9_BIB017","series-title":"Interpreting Multivariate Data","first-page":"21","article-title":"A brief description of natural neighbour interpolation","author":"Sibson","year":"1981"},{"key":"10.1016\/S0925-7721(01)00052-9_BIB018","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/S0010-4485(98)00079-7","article-title":"Surface interpolation based on new local coordinates","volume":"31","author":"Sugihara","year":"1999","journal-title":"Computer-Aided Design"},{"key":"10.1016\/S0925-7721(01)00052-9_BIB019","series-title":"Finite Elements and Approximation","author":"Zienkiewicz","year":"1983"}],"container-title":["Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0925772101000529?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0925772101000529?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,3,11]],"date-time":"2020-03-11T22:34:34Z","timestamp":1583966074000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0925772101000529"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,5]]},"references-count":19,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2002,5]]}},"alternative-id":["S0925772101000529"],"URL":"https:\/\/doi.org\/10.1016\/s0925-7721(01)00052-9","relation":{},"ISSN":["0925-7721"],"issn-type":[{"value":"0925-7721","type":"print"}],"subject":[],"published":{"date-parts":[[2002,5]]}}}