等距曲线

词组短语

equidistant curve

与等距曲线相关的网络例句 [注：此内容来源于网络，仅供参考]

The cubic algebraic curves (the Bezier curve and B style curve, etc belong to the parameter curve) is apter to realize the curve transition and fitting to dispersed data than the cubic parametric curves.

比如参数曲面与平面的交线就是一条平面代数曲线；平面参数曲线的等距曲线也是一条代数曲线。

With the theory, any straight lines and quadratic curve′s equidistance curve can be indirectly interpolated with the help of outline and wire circle′s information, it is unnecessary to calculate equidistance curve .

该理论直接利用轮廓曲线和丝圆的信息，不需计算等距曲线，间接实现任意直线和二次曲线的等距曲线的插补，有效地避免了传统计算等距曲线产生的计算误差，简化了数控机床控制程序设计，提高了机床的控制精度。

Study on geometry theory and engagement characteristics of scroll profiles Aiming as the limitations of scroll profiles in existence, the whole characteristics and local characteristics of plane curve instinct equation were studied. Analyzed the equidistant curve of envelope principle, normal equidistant curve creating method and envelope equidistant curve creating method were gained.

针对现有表征方式的局限性和不足之处，从微分几何角度出发，研究了平面曲线固有方程的局部特性和整体特性，分析了通用涡旋型线等距曲线和包络原理，得到了法向等距曲线生成及包络法等距曲线生成方法，推导了通用涡旋型线的坐标变换方法，得到了通用涡旋型线的平面啮合理论。

The paper induces and analyzes research method of the tooth, including Method line of the tooth theory,Envlopment theory, Camus theory, Circling cluster theory and so on.Based on the past theories,the new measure to deduce the chain wheel tooth equation of roller chain at high speed,Circling cluster and envlopment theory,is proposed by analyzing basic concept of equidistant curve and Willis theory.Following the presentation of drawing lessons from traditional roller chainof the change of stanza line distance. A new type of roller chain at high speed is given in the paper.The paper studies deeply structural characteristics, the change of stanza line distance,separation between plank and bore and so on.According to design requst of roller chain at high speed and the study ofH_y--V_0 tooth chain,the impossibility that Quasi-conjugage engagement theory isrealized by the engagement of roller chain at high speed from the aspect of theory is decribed.

作者综述了高速滚子链国内外研究现状，并进行了以下研究工作：归纳分析了齿形法线法理论、包络法理论、卡姆士定理、圆族法理论等齿形研究方法，在此基础上，结合齿形啮合基本定律，分析了等距曲线的基本概念，提出了一种推导高速滚子链链轮齿廓方程的新方法—圆族包络法；在借鉴普通变节距滚子链的基础上，本文提出了一种新型的高速滚子链链条，深入研究了高速滚子链链条结构特性及其变节距、板孔中心分离等特性。

After introducing the primary approximation approaches for curve and surface offset, we give an optimal approximation approach for offsetting curve based on shifting control points, which relies on approximating the normal by Legendre polynomial approximation.

在全面介绍了等距曲线曲面逼近的主要方法以后，作者首先利用Legendre多项式得到基曲线法矢曲线的最佳平方逼近，由此给出了基于控制顶点偏移的等距曲线最优逼近的算法，它在算法效果和效率上都远优于其他同类算法。

In this paper,a rational approximation method of the norm of parametric speed is given,which is more effective than the polynomial approximation.

文章根据等距曲线逼近的关键在于对其参数速度模的逼近，提出了对参数速度模有理逼近的2种形式，在此基础上给出了平面Bézier曲线等距曲线的逼近函数和误差估计函数，并导出了保持法矢平移方向的代数方式的等距有理逼近算法。

The results are much better than the other approaches'. Then we give another method for approximating offset curves. The circle is first approximated by regular polygon within some tolerance. The exact offset curve is then approximated by the convolution of the regular polygon with a B-spline curve or a NURBS curve having the same degree.

与此同时作者从基圆的正多边形逼近出发，通过求解包络的技巧给出了等距曲线逼近的另一个算法，可整体估计误差，所得的等距逼近曲线为与基曲线同次数的B样条或NURBS曲线，克服了国际上现有同类算法中逼近曲线次数几倍于基曲线次数的缺陷。

In this paper,the rational approximation of the offset curve of Bézier curves is obtained when a polynomial of symmetric power basis is used to approximate the norm of parametric speed of Bézier curves.

等距曲线逼近技术的关键在于参数速度的逼近，文章用S幂基多项式逼近平面Bézier多项式曲线的参数速度模长，得到Bézier多项式曲线的等距曲线的有理逼近曲线，所得有理多项式逼近曲线与等距曲线在端点处能够达到高阶插值。

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。

In this paper, a region approximation idea that means using a "fat curve" with a width to approximate the offset curve is proposed, and a complete set of algorithms to approximate offset curve using disk Bézier curve are given and implemented. In the algorithms, the optimal and uniform approximate curve of the offset curve as the central curve of the Disk Bézier curve is found by using Remez method, and then the upper optimal and uniform approximation principle is proposed to compute the error radius function of the Disk Bézier curve. Thus, the whole Disk Bézier curve can be obtained. In the end of this paper, the approximate effect of the Disk Bézier curve is not only analyzed and assessed, but also some specific examples are provided.

提出用一条带宽度的"胖曲线"来逼近上述等距曲线的区域逼近思想，并建立与实现了圆域Bézier曲线等距逼近的整套算法，包括应用Remez方法求出等距曲线的最佳一致逼近曲线作为圆域Bézier曲线的中心曲线，提出上控最佳一致逼近的原理求出圆域Bézier曲线的误差半径函数，以及确定整条圆域Bézier曲线，最后还对该圆域Bézier逼近的效果做了分析和考核，并给出了一些具体实例。

与等距曲线相关的网络解释 [注：此内容来源于网络，仅供参考]

Cycloidal gear with equidistant curve of epicycloid W：外摆线的等距曲线的摆线轮

Cycloidal gear with equidistant curve of curtate hypocycloid B... | Cycloidal gear with equidistant curve of epicycloid W外摆线的等距曲线的摆线轮 | Cycloidal gear with equidistant curve of hypocycloid ...

Cycloidal gear with equidistant curve of curtate hypocycloid B：短幅内摆线的等距曲线的摆线轮

Cycloidal gear with equidistant curve of curtate epicyc... | Cycloidal gear with equidistant curve of curtate hypocycloid B短幅内摆线的等距曲线的摆线轮 | Cycloidal gear with equidistant curve of epicyc...

Cycloidal gear with equidistant curve of prolate epicycloid C：长幅外摆线的等距曲线的摆线轮

Cycloidal gear with equidistant curve of hypocycloid N内摆线的等距曲线的摆线... | Cycloidal gear with equidistant curve of prolate epicycloid C长幅外摆线的等距曲线的摆线轮 | Cycloidal lantern gear Z针轮

equidistance curves：等距曲线

"等边三角形","equiangular triangle" | "等距曲线","equidistance curves" | "等距离形体","equidistance feature"

equidistant curve：等距曲线

等距 equidistant | 等距曲线 equidistant curve | 等距线 equidistant line

equidistant curve of epicycloid：内摆线的等距曲线

长幅外摆线的等距曲线 equidistant curve of prolate epicycloid | 内摆线的等距曲线 equidistant curve of epicycloid | 短幅外摆线的等距曲线 equidistant curve of curtate hypocycloid

equidistant curve of epicycloid：外摆线的等距曲线

内齿针齿轮 internal pin wheel | 外摆线的等距曲线 equidistant curve of epicycloid | 长幅外摆线的等距曲线 equidistant curve of prolate epicycloid

equidistant curve of prolate epicycloid：长幅外摆线的等距曲线

外摆线的等距曲线 equidistant curve of epicycloid | 长幅外摆线的等距曲线 equidistant curve of prolate epicycloid | 内摆线的等距曲线 equidistant curve of epicycloid

equidistant curve of curtate hypocycloid：短幅外摆线的等距曲线

内摆线的等距曲线 equidistant curve of epicycloid | 短幅外摆线的等距曲线 equidistant curve of curtate hypocycloid | 发生圆柱面 generating cylinder

Equidistant curve of curtate hypocycloid D：短幅内摆线的等距曲线

Equidistant curve of curtate epicycloid D短幅外摆线的等距曲线 | Equidistant curve of curtate hypocycloid D短幅内摆线的等距曲线 | Equidistant curve of hypocycloid N内摆线的等距曲线