A class of montonicity-preserving subdivision scheme(一类矩形域上生成保单调面的细分法)

A class of montonicity-preserving subdivision scheme(一类矩形域上生成保单调面的细分法)

离散细分法是构造曲线曲面的一类重要方法,而在实际中某些细分法要求是保形的,即初始控制点是单调的,那么细分最终生成的曲线或曲面也要求是单调的.本文用构造法构造了一类在等距离意义下矩形域上生成线性保单调曲面的细分法,该细分法具有插值性、局部性、线性不变性,齐次性和仿射不变性,并用数学归纳法证明了该类细分法的保单调性、收敛性和光滑性....

Full description

Bibliographic Details
Main Authors: LILi(李黎), PANZhi-geng(潘志庚)
Format: Article
Language:zho
Published: Zhejiang University Press 2003-09-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
细分
保单调性
收敛
光滑性
Online Access:https://doi.org/zjup/1008-9497.2003.30.5.506-508
_version_ 1827303537788321792
author LILi(李黎)
PANZhi-geng(潘志庚)
author_facet LILi(李黎)
PANZhi-geng(潘志庚)
author_sort LILi(李黎)
collection DOAJ
description 离散细分法是构造曲线曲面的一类重要方法,而在实际中某些细分法要求是保形的,即初始控制点是单调的,那么细分最终生成的曲线或曲面也要求是单调的.本文用构造法构造了一类在等距离意义下矩形域上生成线性保单调曲面的细分法,该细分法具有插值性、局部性、线性不变性,齐次性和仿射不变性,并用数学归纳法证明了该类细分法的保单调性、收敛性和光滑性.
first_indexed 2024-04-24T17:02:38Z
format Article
id doaj.art-66a4c8acb6d5461e8b31d787f2789278
institution Directory Open Access Journal
issn 1008-9497
language zho
last_indexed 2024-04-24T17:02:38Z
publishDate 2003-09-01
publisher Zhejiang University Press
record_format Article
series Zhejiang Daxue xuebao. Lixue ban
spelling doaj.art-66a4c8acb6d5461e8b31d787f27892782024-03-29T01:58:20ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972003-09-01305506508zjup/1008-9497.2003.30.5.506-508A class of montonicity-preserving subdivision scheme(一类矩形域上生成保单调面的细分法)LILi(李黎)0PANZhi-geng(潘志庚)1State Key Laboratory of CAD & CG, Zhejiang University, Hangzhou 310027, China(浙江大学CAD&CG国家重点实验室，浙江 杭州 310027)State Key Laboratory of CAD & CG, Zhejiang University, Hangzhou 310027, China(浙江大学CAD&CG国家重点实验室，浙江 杭州 310027)离散细分法是构造曲线曲面的一类重要方法,而在实际中某些细分法要求是保形的,即初始控制点是单调的,那么细分最终生成的曲线或曲面也要求是单调的.本文用构造法构造了一类在等距离意义下矩形域上生成线性保单调曲面的细分法,该细分法具有插值性、局部性、线性不变性,齐次性和仿射不变性,并用数学归纳法证明了该类细分法的保单调性、收敛性和光滑性.https://doi.org/zjup/1008-9497.2003.30.5.506-508细分保单调性收敛光滑性
spellingShingle LILi(李黎)
PANZhi-geng(潘志庚)
A class of montonicity-preserving subdivision scheme(一类矩形域上生成保单调面的细分法)
Zhejiang Daxue xuebao. Lixue ban
细分
保单调性
收敛
光滑性
title A class of montonicity-preserving subdivision scheme(一类矩形域上生成保单调面的细分法)
title_full A class of montonicity-preserving subdivision scheme(一类矩形域上生成保单调面的细分法)
title_fullStr A class of montonicity-preserving subdivision scheme(一类矩形域上生成保单调面的细分法)
title_full_unstemmed A class of montonicity-preserving subdivision scheme(一类矩形域上生成保单调面的细分法)
title_short A class of montonicity-preserving subdivision scheme(一类矩形域上生成保单调面的细分法)
title_sort class of montonicity preserving subdivision scheme 一类矩形域上生成保单调面的细分法
topic 细分
保单调性
收敛
光滑性
url https://doi.org/zjup/1008-9497.2003.30.5.506-508
work_keys_str_mv AT lililǐlí aclassofmontonicitypreservingsubdivisionschemeyīlèijǔxíngyùshàngshēngchéngbǎodāndiàomiàndexìfēnfǎ
AT panzhigengpānzhìgēng aclassofmontonicitypreservingsubdivisionschemeyīlèijǔxíngyùshàngshēngchéngbǎodāndiàomiàndexìfēnfǎ
AT lililǐlí classofmontonicitypreservingsubdivisionschemeyīlèijǔxíngyùshàngshēngchéngbǎodāndiàomiàndexìfēnfǎ
AT panzhigengpānzhìgēng classofmontonicitypreservingsubdivisionschemeyīlèijǔxíngyùshàngshēngchéngbǎodāndiàomiàndexìfēnfǎ

Similar Items