翻訳と辞書 Words near each other ・ Heat flux sensor ・ Heat fusion ・ Heat Generation ・ Heat generation in integrated circuits ・ Heat gun ・ Heat Guy J ・ Heat illness ・ Heat in Here Vol. 1 ・ Heat in the Street ・ Heat index ・ Heat injury ・ Heat intolerance ・ Heat It Up ・ Heat It Up Tour ・ Heat kernel ・ Heat kernel signature ・ HEAT LANrev ・ Heat lightning ・ Heat Lightning (film) ・ Heat loss due to linear thermal bridging ・ Heat map ・ Heat meter ・ Heat Miser ・ Heat number ・ Heat of combustion ・ Heat of formation group additivity ・ Heat of the Moment ・ Heat of the Moment (After 7 song) ・ Heat of the Night ・ Heat of the Night (Paulina Rubio song) 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 Heat kernel signature ： ウィキペディア英語版 Heat kernel signature A heat kernel signature (HKS) is a feature descriptor for use in deformable shape analysis and belongs to the group of spectral shape analysis methods. For each point in the shape, HKS defines its feature vector representing the point's local and global geometric properties. Applications include segmentation, classification, structure discovery, shape matching and shape retrieval. HKS was introduced in 2009 by Jian Sun, Maks Ovsjanikov and Leonidas Guibas. It is based on heat kernel, which is a fundamental solution to the heat equation. HKS is one of the many recently introduced shape descriptors which are based on the Laplace–Beltrami operator associated with the shape. == Overview == Shape analysis is the field of automatic digital analysis of shapes, e.g., 3D objects. For many shape analysis tasks (such as shape matching/retrieval), feature vectors for certain key points are used instead of using the complete 3D model of the shape. An important requirement of such feature descriptors is for them to be invariant under certain transformations. For rigid transformations, commonly used feature descriptors include shape context, spin images, integral volume descriptors and multiscale local features, among others.〔 HKS allows isometric transformations which generalizes rigid transformations. HKS is based on the concept of heat diffusion over a surface. Given an initial heat distribution $u\_0(x)$ over the surface, the heat kernel $h\_t(x,y)$ relates the amount of heat transferred from $x$ to $y$ after time $t$. The heat kernel is invariant under isometric transformations and stable under small perturbations to the isometry.〔 In addition, the heat kernel fully characterizes shapes up to an isometry and represents increasingly global properties of the shape with increasing time. Since $h\_t(x,y)$ is defined for a pair of points over a temporal domain, using heat kernels directly as features would lead to a high complexity. HKS instead restricts itself to just the temporal domain by considering only $h\_t(x,x)$. HKS inherits most of the properties of heat kernels under certain conditions.〔 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「Heat kernel signature」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.