 全文文献 工具书 数字 学术定义 翻译助手 学术趋势 更多   ball基 在 数学 分类中 的翻译结果: 查询用时：0.89秒 在分类学科中查询 所有学科 数学 计算机软件及计算机应用 更多类别查询 历史查询  ball基  ball basis
 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 CONJUGATE BASIS OF BALL BASIS FUNCTION AND IT'S APPLICATION Ball基函数的对偶基及其应用 短句来源 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． 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 ball bases
 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 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 “ball基”译为未确定词的双语例句
 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 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 The author derives the dual functional of the Wang-Ball basis for the first time and then obtains the explicit expression of Wang-Ball basis in terms of the Bernstein basis. 作者在这里首次给出Wang-Ball基函数的对偶泛函，并由此导出从Bernstein基到Wang-Ball基的显式表示。 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 Chapter two is focused on the Wang-Ball curves, including definition, properties and recursive algorithms. Using the dual functional of the Wang-Ball basis, the author derives the subdivision algorithms for the Wang-Ball curves for the first time and then obtains some identical equations of calculation combination. 第二章介绍Wang-Ball曲线的定义及性质，以及Wang-Ball曲线的递归求值算法，利用Wang-Ball基函数的对偶泛函，作者在这里给出Wang-Ball曲线的显式细分算法，并由此导出几个计算组合恒等式。 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  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 相关查询

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