C-B-spline basis is B-basis(C-B样条基是B基)

证明了空间Γn+1 = span {1,t,…,tn-2,sin t, cost t} n≥2中的定义域两端是n重节点的非均匀C-B样条基是B基,是适合CAGD多种需要的具有良好性质的基.B基具有de Casteljau类型算法,同时也提供求值和细分.这表明非均匀C-B样条基可作为CAGD新的造型工具....

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Main Authors: MINChun-yan(闵春燕), WANGGuo-zhao(汪国昭)
Format: Article
Language:zho
Published: Zhejiang University Press 2004-03-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/zjup/1008-9497.2004.31.2.148-150
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author MINChun-yan(闵春燕)
WANGGuo-zhao(汪国昭)
author_facet MINChun-yan(闵春燕)
WANGGuo-zhao(汪国昭)
author_sort MINChun-yan(闵春燕)
collection DOAJ
description 证明了空间Γn+1 = span {1,t,…,tn-2,sin t, cost t} n≥2中的定义域两端是n重节点的非均匀C-B样条基是B基,是适合CAGD多种需要的具有良好性质的基.B基具有de Casteljau类型算法,同时也提供求值和细分.这表明非均匀C-B样条基可作为CAGD新的造型工具.
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publisher Zhejiang University Press
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spelling doaj.art-679d4a2aab55422b936f2402fd5d6a152024-03-29T01:58:21ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972004-03-01312148150zjup/1008-9497.2004.31.2.148-150C-B-spline basis is B-basis(C-B样条基是B基)MINChun-yan(闵春燕)0WANGGuo-zhao(汪国昭)1Institute of Computer Graphics and Image Processing, Zhejiang University, Hangzhou 310027, China(浙江大学计算机图像图形研究所,浙江 杭州 310027)Institute of Computer Graphics and Image Processing, Zhejiang University, Hangzhou 310027, China(浙江大学计算机图像图形研究所,浙江 杭州 310027)证明了空间Γn+1 = span {1,t,…,tn-2,sin t, cost t} n≥2中的定义域两端是n重节点的非均匀C-B样条基是B基,是适合CAGD多种需要的具有良好性质的基.B基具有de Casteljau类型算法,同时也提供求值和细分.这表明非均匀C-B样条基可作为CAGD新的造型工具.https://doi.org/zjup/1008-9497.2004.31.2.148-150非均匀c-b样条基均匀c-b样条基全正基b基
spellingShingle MINChun-yan(闵春燕)
WANGGuo-zhao(汪国昭)
C-B-spline basis is B-basis(C-B样条基是B基)
Zhejiang Daxue xuebao. Lixue ban
非均匀c-b样条基
均匀c-b样条基
全正基
b基
title C-B-spline basis is B-basis(C-B样条基是B基)
title_full C-B-spline basis is B-basis(C-B样条基是B基)
title_fullStr C-B-spline basis is B-basis(C-B样条基是B基)
title_full_unstemmed C-B-spline basis is B-basis(C-B样条基是B基)
title_short C-B-spline basis is B-basis(C-B样条基是B基)
title_sort c b spline basis is b basis c b样条基是b基
topic 非均匀c-b样条基
均匀c-b样条基
全正基
b基
url https://doi.org/zjup/1008-9497.2004.31.2.148-150
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