A survey on the local refinable splines  

作　　者：LI Xin CHEN FaLai KANG HongMei DENG JianSong 

机构地区：[1]School of Mathematical Sciences,University of Science and Technology of China

出　　处：《Science China Mathematics》2016年第4期617-644,共28页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11031007 and 60903148);the Chinese Universities Scientific Fund;Scientific Research Foundation for the Returned Overseas Chinese Scholars;State Education Ministry,the Chinese Academy of Sciences Startup Scientific Research Foundation;the State Key Development Program for Basic Research of China(973 Program)(Grant No.2011CB302400)

摘　　要：This paper provides a survey of local refinable splines,including hierarchical B-splines,T-splines,polynomial splines over T-meshes,etc.,with a view to applications in geometric modeling and iso-geometric analysis.We will identify the strengths and weaknesses of these methods and also offer suggestions for their using in geometric modeling and iso-geometric analysis.This paper provides a survey of local refinable splines,including hierarchical B-splines,T-splines,polynomial splines over T-meshes,etc.,with a view to applications in geometric modeling and iso-geometric analysis.We will identify the strengths and weaknesses of these methods and also offer suggestions for their using in geometric modeling and iso-geometric analysis.

关 键 词：geometric modeling isogeometric analysis B-splines hierarchical B-splines T-splines polynomial splines over hierarchical T-meshes（PHT-splines） locally refined（LR）B-splines local refinement 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]