翻訳と辞書 Words near each other ・ Reed Doughty ・ Reed Easterwood ・ Reed Elley ・ Reed Elsevier, Inc. v. Muchnick ・ Reed Erickson ・ Ree ・ Ree Drummond ・ Ree Gaun ・ Ree group ・ Ree Heights, South Dakota ・ Ree Kaneko ・ Ree Morton ・ Ree Park – Ebeltoft Safari ・ Reeb ・ Reeb foliation ・ Reeb graph ・ Reeb sphere theorem ・ Reeb stability theorem ・ Reeb vector field ・ Reeberg ・ Reebie Storage Warehouse ・ Reebok ・ Reebok advertising campaigns ・ Reebok Big Time ・ Reebok Classic ・ Reebok Freestyle ・ Reebok Human Rights Award ・ Reebok insider trading case ・ Reebok Nano ・ Reebok Princess Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Reeb graph ： ウィキペディア英語版 Reeb graph A Reeb graph (named after Georges Reeb) is a mathematical object reflecting the evolution of the level sets of a real-valued function on a manifold.〔Harish Doraiswamy , Vijay Natarajanb, (Efficient algorithms for computing Reeb graphs ), Computational Geometry 42 (2009) 606–616〕 Originally introduced as a tool in Morse theory,〔G. Reeb, Sur les points singuliers d’une forme de Pfaff complètement intégrable ou d’une fonction numérique, C. R. Acad. Sci. Paris 222 (1946) 847–849〕 Reeb graphs found a wide variety of applications in computational geometry and computer graphics, including computer aided geometric design, topology-based shape matching, topological simplification and cleaning, surface segmentation and parametrization, and efficient computation of level sets. In a special case of a function on a flat space, the Reeb graph forms a polytree and is also called a contour tree.〔.〕 == Formal definition == Given a topological space ''X'' and a continuous function ''f'': ''X'' → R, define an equivalence relation ∼ on ''X'' where ''p''∼''q'' whenever ''p'' and ''q'' belong to the same connected component of a single level set ''f''−1(''c'') for some real ''c''. The Reeb graph is the quotient space ''X'' /∼ endowed with the quotient topology. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Reeb graph」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.