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有理曲线 的英文翻译、例句

有理曲线

词组短语
rational curve
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We shall first apply the technique ofμ-bases and local cohomology to study the minimal generators for the moving surface ideals of rational cubic space curves and rational quartic space curves,and then study the implicit equations of rational space curves under different definitions of implicit equations.

在第五章中,我们将同调代数理论与μ基理论相结合,详细分析三次及四次空间有理曲线的动曲面理想生成元,为一般空间有理曲线的动曲面理想生成元的(来源:A21B12ceC论文网www.abclunwen.com)研究开辟可能的道路。

The close relationship between the Hybrid polynomial approximation and the classical Hermite polynomial approximation to rational curves and surfaces are studied, Hermite approximation is in fact a special case of Hybrid approximation. The sufficient and necessary condition for the convergence of Hybrid approximation to rational Bézier surface is deduced and proved.

围绕着有理曲线曲面的Hybrid逼近,作者研究了有理曲线曲面的Hybrid多项式逼近与传统的Hermite多项式逼近之间的密切关系,并指出Hermite逼近事实上是Hybrid逼近的一种特例,此后演绎并证明了有理Bézier曲面的Hybrid多项式逼近收敛的充分必要条件。

The constructions of rational curves depend on the pencil of lines which may be blended in two or more straight lines.

有理曲线由直线束确定,直线束由两个或多个直线经调配得出。

In the third chapter, interval polynomial approximation of rational curves is introduced.

第三章主要介绍了有理曲线的区间多项式逼近。

However, due to the complex of computation and the need of the design, sometime we need to use polynomial approximation for a rational curves and surfaces.

然而由于计算的复杂性和设计的需要,有时我们还需要用多项式函数来逼近有理曲线和曲面。

In this paper, we survey the development of polynomial approximation of rational curves and state the knowledge of interval curves in the first chapter.

本论文中,第一章首先介绍了有理曲线曲面的多项式逼近研究工作的发展情况和区间曲线曲面一些相关知识。

Especially, an explicit representation of quintic PB curves is established and the sufficient and necessary algebraic characterization of quintic PB curves is presented.

对于n次PB曲线,得到了以(2n-1)次有理曲线精确表示的等距线和多项式形式的弧长表达式。

Rational planar curve; rational space curve; rational ruled surface; moving curve/surface;μ-bases; singularity; self-intersection curve; moving curve/moving surface ideal; ideal-theoretic/set-theoretic generators

基础科学,数学,几何、拓扑平面有理曲线;空间有理曲线;有理直纹面;动曲线/曲面;μ基;奇点;自交线;动曲线/动曲面理想;集论/理想论生成元

We shall explore the theory and computational methods of the singularities of rational planar curves and rational space curves fromμ-bases.

本文中我们将首先讨论基于μ基的平面有理曲线与空间有理曲线奇点的理论及计算。特别地。对平面有理曲线

ABSTRACT This paper summarizes our researches on two key techniques in curve and surface modeling-the geometric approximation techniques and the geometric interpolation techniques. The former includes three types of geometric approximation techniques: Hybrid polynomial approximation to rational curves and surfaces, offset curves and surfaces approximation, interval Bézier curves and surfaces approximation. The latter includes a series of algorithms for shape blending modeling: the MSI algorithm for shape blending between space polylines or trees, the MSI algorithm for shape blending between triangular meshes, and skeleton-based shape blending algorithms using triangular decomposition and star-shape decomposition.

本文是作者对曲线曲面造型中两类核心技术几何逼近技术和几何插值技术的研究成果的总结,其中前者包括有理曲线曲面的Hybrid多项式逼近、等距曲线曲面逼近和区间曲线曲面逼近等三类几何逼近方法;后者包括用于形状混合造型的几何插值方法的一系列算法:空间多边形形状混合的MSI插值算法、三角网格形状混合的MSI插值算法、树的形状混合的MSI插值算法以及基于骨架树形状混合的三角剖分算法和星形剖分算法。

更多网络解释与有理曲线相关的网络解释 [注:此内容来源于网络,仅供参考]

rational metamathematics:有理元数学

rational map 有理映射 | rational metamathematics 有理元数学 | rational normal curve 有理正规曲线

rational normal curve:有理正规曲线

rational metamathematics 有理元数学 | rational normal curve 有理正规曲线 | rational number 有理数

rational parametric polynomial curve:有理参数多项式曲线

有理参数多项式曲线:rational parametric polynomial curve | 多项式响应面模型:Polynomial Response Surface method | 广义有理参数曲线曲面:Generalized Rational Parametric Curve and Surface

rational curve:有理曲线

rational 有理数 | rational curve 有理曲线 | rational expression 有理式

rational space curve:有理空间曲线

rational space 有理空间 | rational space curve 有理空间曲线 | rational tranformation 有理映射

rational Bezier curve:有理贝济埃曲线

相对弦长参数化 relative chord length parameterization | 有理贝济埃曲线 rational Bezier curve | 有理几何设计 rational geometric design

rational Bezier curve:有理贝齐尔曲线

有理式近似 rational approximation | 有理贝齐尔曲线 rational Bezier curve | 有理微分系统 rational differential system

rational space:有理空间

rational root 有理根 | rational space 有理空间 | rational space curve 有理空间曲线

unicursal curve:有理曲线

unicursal 单行的 | unicursal curve 有理曲线 | unicursal graph 单行图

unicursal curve:单行曲线;有理曲线

单一性定理;唯一性定理 unicity theorem | 单行曲线;有理曲线 unicursal curve | 单行方程 unicursal equation