助手标题  
全文文献 工具书 数字 学术定义 翻译助手 学术趋势 更多
查询帮助
意见反馈
   ball基 的翻译结果: 查询用时:0.437秒
图标索引 在分类学科中查询
所有学科
计算机软件及计算机应用
数学
更多类别查询

图标索引 历史查询
 

ball基
相关语句
  ball basis
     Extension of the Ball Basis
     Ball基的推广
短句来源
     A new kind of Ball basis and curves in space K_n=span{1,t,t~2,\:,t~(n-1),sh t, ch t} are discussed.
     详细讨论了双曲混合多项式空间Kn=span{1,t,t2,…,tn-2,sht,cht}中的Ball基和Ball曲线.
短句来源
     By means of dual basis for Said Ball basis of even degree, we obtained Marsden identity and realized the conversion from Bézier curve to Said Ball curve These results are useful for the application of Said Ball curve and its popularization in Computer Aided Geometric Design
     利用任意偶数次Said Ball基的对偶基 ,给出Said Ball基函数下的Marsden恒等式 ,并实现B啨zier曲线到Said Ball曲线的转换 这些结果对Said Ball曲线在CAGD中的应用及推广是极为有益的
短句来源
     In order to exert its effect on geometric design, we should use a simple method to derive the conversion matrix from the Bernstein basis to the Wang Ball basis.
     为了在几何设计中更好地发挥其作用 ,应当用简单的方法求出Bernstein基到Wang Ball基的转换矩阵 .
短句来源
     Dual Basis Functions for Generalized Ball Basis and Its Application
     广义Ball基函数的对偶基及其应用
短句来源
更多       
  ball bases
     Total Positivity of Said-Bézier Type Generalized Ball Bases
     Said-Bézier型广义Ball基的全正性
短句来源
     The emphasis of the next two chapters are laid upon the two new families of the generalized Ball bases which are introduced by Wu HongYi, i.e., Said-Bezier type generalized Ball (SBGB)bases and Wang-Said type generalized Ball (WSGB)bases, the curves constructed on these bases include the Bezier curve, the Said-Ball curve, the Wall-Ball curve and some intermediate curves.
     接下来的两章主要介绍了邬弘毅所提出的两族广义Ball基:SBGB型基函数和WSGB型基函数,用这两族基函数构成的广义Ball曲线,不仅包含了Bézier曲线,Sai-Ball曲线和Wall-Ball曲线,还包含若干介于这些著名曲线之间的中间曲线。
短句来源
     By introducing a family of generalized Ball bases and generalized Ball surfaces with position parameter H and using the relation between the bases of adjacent surfaces,this paper presents a new algorithm for the conversion of Said-Ball and B zier surfaces on a triangular domain.
     通过引入一族三角域上带位置参数H的广义Ball基和广义Ball曲面 ,并利用相邻两曲面的基函数之间的关系 ,给出三角域上Said Ball曲面与B啨zier曲面之间的一种新的递归转换算法 .
短句来源
     Dual basis of generalized Ball bases and its applications
     一类广义Ball基函数的对偶基及其应用
短句来源
     Total Positivity of Generalized Ball Bases & Conversion between Triangular and Rectangular SBGB Patches
     广义Ball基的全正性及三角域与矩形域上曲面片的转化
短句来源
更多       
  “ball基”译为未确定词的双语例句
     A new series of the generalized Ball basises of degree-n with parameter k ( 2 ≤ k ≤■n 2■ +1) are constructed as the transition from Wang-Ball basis (k=2) to Said-Ball basis (k= ■n 2 ■ +1), and some properties of them are given.
     构造了一系列次数为n且带有参数k(2≤k≤■n2■+1)的新的广义Ball基,作为Wang-Ball基(k=2)到Said-Ball基(k=■n2■+1)的过渡,并给出新基的一些性质.
短句来源
     The basis of space K_n, called H-Ball basis, is constructed based on H-Bézier basis, and then H-Ball curves are defined with this new basis.
     在H-Bézier基的基础上构造的一组新的基称为空间Kn的H-Ball基,用这组H-Ball基定义的曲线称为H-Ball曲线.
短句来源
     By means of the dual functional of Said-Ball basis, the Marsden identity is got in terms of Said-Ball basis, and the transformation formula from Bezier curves to Said-Ball curves is presented, and the subdivision algorithms for the Said-Ball curves is also described.
     利用Said-Ball基函数的对偶(泛函)基,得到幂基函数在Said-Ball基下的Marsden恒等式,及从Bézier曲线到Said-Ball曲线的转换,并给出Said-Ball曲线的细分算法。
短句来源
     By means of the dual (functional) of Said-Ball basis, the Marsden identity is got in terms of Said-Ball basis, and a degree reduction algorithm for Said-Ball curves is presented through the transform from Bezier curves to Said-Ball curves.
     利用Said-Ball基函数的对偶(泛函)基,得到幂基函数在Said-Ball基下的Marsden恒等式,及从Bézier曲线到Said-Ball曲线的转换.并给出Said-Ball曲线的降阶赋值算法。
短句来源
     Dual Basis Functions for Wang-Ball Basis and Its Application
     Wang-Ball基函数的对偶基及其应用
短句来源
更多       
查询“ball基”译词为用户自定义的双语例句

    我想查看译文中含有:的双语例句
例句
为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法,我们为您准备了出自英文原文的大量英语例句,供您参考。
  ball basis
The Ball basis was introduced for cubic polynomials by Ball, and two different generalizations for higher degree m polynomials have been called the Said-Ball and the Wang-Ball basis, respectively.
      
We prove that the Wang-Ball basis is strictly monotonicity preserving for all m.
      
However, it is not geometrically convexity preserving and is not totally positive for m>amp;gt;3, in contrast with the Said-Ball basis.
      
We prove that the Said-Ball basis is better conditioned than the Wang-Ball basis and we include a stable conversion between both generalized Ball bases.
      
The Wang-Ball basis has an evaluation algorithm with linear complexity.
      
  ball bases
Dual functionals of said-bézier type generalized ball bases over triangle domain and their application
      
We prove that the Said-Ball basis is better conditioned than the Wang-Ball basis and we include a stable conversion between both generalized Ball bases.
      


With the rapid development of CAD/CAM (Conputer aided design Computeraided manufacturing), Ball curves with orders higher than the fifth, such asthose employed in the Engtish AUTOKON System and the Dutch POLYSURFSystem, are now often used. However, the convexity and other geometric pro-perties of the Ball curve, to the authors best knowledge, have not been discus-sed in the open literature. In CAD/CAM, preservation of convexity is of engine-ering importance. The authors' new contribution is that a general recurrence...

With the rapid development of CAD/CAM (Conputer aided design Computeraided manufacturing), Ball curves with orders higher than the fifth, such asthose employed in the Engtish AUTOKON System and the Dutch POLYSURFSystem, are now often used. However, the convexity and other geometric pro-perties of the Ball curve, to the authors best knowledge, have not been discus-sed in the open literature. In CAD/CAM, preservation of convexity is of engine-ering importance. The authors' new contribution is that a general recurrence formula of Ballcurve is presented, and making use of this recurrence formula, the authors dis-cuss the properties of Ball curve. A suficient condition for preserving convexityof Ball curve is given as Theorem 2 in the full paper. It might be of some interest to the reader to know that, with the help ofthe recurrence formula, the authors have designed a subprogram that can processBall curve of any order (subprogram not included in this paper).

本文研究了把三次BALL基函数族推广到高次的问题,并由此定义了n次BALL型曲线,讨论了它的若干几何性质。给出了平面n次BALL曲线保凸的一个充分条件,从而完善了BALL型曲线的理论,拓广了它的应用。

In a paper by Said, a basis was introduced for arbitary odd degree polynomials over cubic polynomials by Ball. In this paper, some properties and recursive algorithms of arbitary degree for evaluation and degree raising are given.

Said将Ball基由三阶延伸到奇数阶。本文在任意阶上讨论广义Ball曲线性质及其求值的新一种递归算法。

Generalized Ball curves of arbitrary degree were gained by extending that of odd degree, and its many properties and applications, such as degree raising formula, transformation between gerenalized Ball curves and Bézier curves, limiting theorem, dual basis, Marsden equavilent under generalized Ball basis, elvaution algorithm by lowing degree and unit properity etc., were discussed.

本文讨论了任意次数的广义Ball曲线的性质和它们的应用,如:一般的升阶公式,Bézier曲线与广义Ball曲线之间的转换,极限定理,对偶基,广义Ball基函数下的Maraden恒等式,降阶赋值算法,单位分解性质等.

 
<< 更多相关文摘    
图标索引 相关查询

 


 
CNKI小工具
在英文学术搜索中查有关ball基的内容
在知识搜索中查有关ball基的内容
在数字搜索中查有关ball基的内容
在概念知识元中查有关ball基的内容
在学术趋势中查有关ball基的内容
 
 

CNKI主页设CNKI翻译助手为主页 | 收藏CNKI翻译助手 | 广告服务 | 英文学术搜索
版权图标  2008 CNKI-中国知网
京ICP证040431号 互联网出版许可证 新出网证(京)字008号
北京市公安局海淀分局 备案号:110 1081725
版权图标 2008中国知网(cnki) 中国学术期刊(光盘版)电子杂志社