翻訳と辞書 Words near each other ・ Hierarchical epistemology ・ Hierarchical fair-service curve ・ Hierarchical File System ・ Hierarchical generalized linear model ・ Hierarchical hidden Markov model ・ Hierarchical INTegration ・ Hierarchical internetworking model ・ Hierarchical matrix ・ Hierarchical model–view–controller ・ Hierarchical modulation ・ Hierarchical Music Specification Language ・ Hierarchical namespace ・ Hierarchical network model ・ Hierarchical organization ・ Hierarchical proportion ・ Hierarchical RBF ・ Hierarchical routing ・ Hierarchical state routing ・ Hierarchical storage management ・ Hierarchical structure of the Big Five ・ Hierarchical task network ・ Hierarchical temporal memory ・ Hierarchical value cache ・ Hierarchy ・ Hierarchy (disambiguation) ・ Hierarchy (mathematics) ・ Hierarchy and Free Expression in the Fight Against Racism ・ Hierarchy of angels ・ Hierarchy of beliefs ・ Hierarchy of death 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 Hierarchical RBF ： ウィキペディア英語版 Hierarchical RBF In computer graphics, a hierarchical RBF is an interpolation method based on Radial basis functions (RBF). Hierarchical RBF interpolation has applications in the construction of shape models in 3D computer graphics (see Stanford Bunny image below), treatment of results from a 3D scanner, terrain reconstruction and others. This problem is informally named "large scattered data point set interpolation". The idea of method (for example in 3D) consists of the following: * Let the scattered points be presented as set $\backslash mathbf=\backslash \_i,\backslash mathbf\_i,\backslash mathbf\_i)\backslash vert^\_\; \backslash subset\; \backslash mathbb^3\backslash \}$ * Let there exist a set of values of some function in scattered points $\backslash mathbf=\backslash \_\backslash subset\; \backslash mathbb\backslash \}$ * Find a function $\backslash mathbf(\backslash mathbf)$ which will meet the condition $\backslash mathbf(\backslash mathbf)=1$ for points lying on the shape and $\backslash mathbf(\backslash mathbf)\backslash neq1$ for points not lying on the shape. * As J. C. Carr et al. showed 〔Carr, J.C.; Beatson, R.K.; Cherrie, J.B.; Mitchell, T.J.; Fright, W.R.; McCallum B.C.; Evans, T.R. (2001), “Reconstruction and Representation of 3D Objects with Radial Basis Functions” ACM SIGGRAPH 2001, Los Angeles, CA, P. 67–76.〕 this function looks like $\backslash mathbf(\backslash mathbf)=\backslash sum\_^N\; \backslash lambda\_i\; \backslash varphi(\backslash mathbf,\backslash mathbf\_i)$ where: $\backslash varphi$ — it is RBF; $\backslash lambda$ — it is coefficients which are the solution of the system show on picture: for determination of surface it is necessary to estimate the value of function $\backslash mathbf(\backslash mathbf)$ in interesting points ''x''. A lack of such method is considerable complication 〔Bashkov, E.A.; Babkov, V.S. (2008) “Research of RBF-algorithm and his modifications apply possibilities for the construction of shape computer models in medical practice”. Proc Int. Conference "Simulation-2008", Pukhov Institute for Modelling in Energy Engineering, () (in Russian)〕 $\backslash mathbf(\backslash mathbf^2)$ for calculate RBF, solve system and determine surface. ==Other similar methods== * Reduce interpolation centres ($\backslash mathbf(\backslash mathbf^2)$ for calculate RBF and solve system, $\backslash mathbf(\backslash mathbf\backslash mathbf)$ for determine surface) * Compactly supported RBF ($\backslash mathbf(\backslash mathbf\backslash log(\backslash mathbf^)$ for solve system, $\backslash mathbf(\backslash mathbf\backslash log(\backslash mathbf^2)$ for calculate RBF, $\backslash mathbf(\backslash mathbf\backslash log(\backslash mathbf+\backslash mathbf\backslash log\{\backslash mathbf\{n\}\})$ for determine surface) 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「Hierarchical RBF」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.