When the working path model of industrial robot composes the free curve geometry object, the method of interpolation and subdivision of curve is adopted.
当机器人的作业路径为通过给定点的二维自由曲线时，需进行插值拟合。
We take a point on the geometry — the centroid — compute the value for that point on the space filling curve, and store the result in an additional column.
我们在几何图形上取一个点，即形心点，计算那个点在空间填充曲线上的值，并将结果存储在一个附加的列中。
(geometry) a curve generated by the intersection of a plane and a circular cone.
(几何)一个平面和一个圆锥体相交而生成的曲线。
Now we can create an additional function that will combine the before mentioned functions and produce the scalar value on the space filling z-curve for any given geometry.
现在我们可以创建一个附加的函数，该函数将组合之前提到的函数，并为任何给定的几何图形产生空间填充z曲线上的标量值。
The equations of caustic curve and its initial curve for a crack illuminated by an oblique incident light beam in reflection arrangement were deduced using the space analytic geometry method.
本文用空间解析几何方法，推导了在一般非平行斜入射光条件下，裂纹体表面所形成的反射焦散线和初始曲线的方程。
To solve the problem about determinant and solution to tangent line of curve of second order in Analytic Geometry with viewpoint and methods of Higher Geometry.
利用《高等几何》的观点、方法解决《解析几何》中的二次曲线的切线的存在性与求法问题。
The math model is used to image the essential relation of every variable in the process, maybe the model is algebra equation, or differential equation, or geometry curve.
数学模型用来反映过程本身各有关变量之间本质关系，它可能是代数方程、微分方程或几何曲线。
The centerline of elastic rod or elastic filament can be abstracted as space curves to deal with them by the knowledge of the theory of space curve and differential geometry.
由于弹性杆的中心线或弹性细丝可以抽象成空间曲线，然后根据空间曲线论和微分几何的知识进行处理。
Combined the curve theory of differential geometry and the cable model applied distributed load, form analysis and tension analysis of boundary cable, ridge cable and valley cable were performed.
结合微分几何的曲线论和分布荷载作用下索的受力模型，研究了索膜结构中边索、脊索和谷索的受力分析和形状分析。
This paper describes the mathematics base of algebraic geometry and ECC. It also discusses the elliptic curve discrete logarithm problem (ECDLP) and the security applications of ECC on E-commerce.
该文描述了代数几何与ecc的数学基础及椭圆曲线离散对数问题困难性，讨论了ECC在电子商务中的安全应用。
Based on geometry and convex set methods, this paper gives systemically the definitions of global and local convexity for planar closed parametric curve, and proves the two definitions are equivalent.
从几何和凸集的角度，系统地给出了平面闭参数曲线全局凸和局部凸定义，并且证明了这两个定义是等价的。
In local differential geometry, the cylindrical spiral is a very important curve.
在局部微分几何中，圆柱螺线是很重要的一种曲线。
The wheel web, by virtue of its geometry and material characteristics, is a good emitter of high-frequency sound, and is believed to be the primary source of curve squeal noise.
尺寸和材料的特性导致了轮辋是一个良好的高频声源，轮辋也被认为是曲线尖啸噪声的主要来源。
Then the basic formulae and the theorem on its unique existence have been established as doing in the curve theory in Differential Geometry.
接着，仿微分几何的曲线论，建立了基本公式和唯一存在定理。
Based on the curve theory in differential geometry, we introduce for general control systems the concepts of shape variable, the controlled shape-trace curve and the shape congruence control.
针对一般控制系统，利用微分几何中的曲线理论提出了形状变量、被控形状轨迹曲线和形状合同控制等概念。
The problem of attaining the tangent equation of a certain point on a quadratic curve is basically solved in plane analytical geometry.
平面解析几何对“求过二次曲线外的点所引曲线切线的方程”的问题，未给出一般的方法和公式。
Closed curve, one of the conic sections of analytic geometry, consisting of all points whose distances from each of two fixed points (foci) add up to the same value.
解析几何中圆锥截线的一条封闭曲线，包含了与两个定点(焦点)之距离呈等值增加的所有点。
According to the analyses of geometry characters and road usage performance of the Lemniscate curve, this paper testifies the feasibility of the usage of the Lemniscate curve.
论文通过对双纽曲线几何特征和路用性能的分析，论证了双纽曲线整体式小环道的可行性。
In this paper, the existence theorem of midpoint chord of quadratic curve, as well as its proof, is given via methods of projective geometry and polarity principle.
文章利用射影几何方法及配极原理给出二次曲线中点弦存在性定理的证明。
The problems about the midpoints of the chords cut by the taper curve are the most critical and difficult in analytic geometry problems.
直线被圆锥曲线截得弦的中点问题，是解析几何的重点和难点。
Once all 'pairs' are found, I compute the catenary curve and create the cable geometry, either for plain cables or cables with hanging clothes.
一旦所有的配对都找到，我便通过计算垂曲线来创建线缆几何，无论是普通电缆还是晾衣绳都样的。
However, the electrodes geometry and the operating conditions of the contactors of the vacuum interrupters may significantly affect the shape of the pressure-ion current curve.
压强-离子电流曲线与灭弧室电极几何构造和触头的状况有关。
We use stretching curve to express softness and spirit of the sea, and strong geometry to respond to force and perseverance of mountains and rocks which are enough for us.
我们以舒展的曲线来表达大海的柔美与空灵，坚朗的几何体块去呼应山川、 礁岩的雄浑与坚忍，也许足够了。
Equation about isometric polygon curve is set up with differential geometry theory. The curve is proved to be convex curve which the distance between any parallel tangent lines is equal.
应用微分几何理论，导出了等距曲线的方程，证明了它是具有任意两条平行切线之间距离都相等的卵形线。
Algorithm of geometry simulation in machining complex curve surface depending on engagement theory is the new exploration for geometry simulation, it has better practical meaning.
根据啮合基本定理提出的复杂曲面加工表面几何仿真算法是对几何仿真新的探索，具有较强的实际意义。
The topology and geometry of solid is represented by trimmed curve surface and half-edge data structure.
雕塑实体模型通过裁剪曲面片和半边数据结构来表达几何和拓扑信息。
The simulation curve and test curve of frost heave are analyzed by using the theory of fractal geometry, and it is shown that the curve of frost heave is of self-comparability.
采用分形几何理论研究了冻胀曲线的分形性质，发现冻胀曲线同样具备自相似性。
This algorithm has the merits of geometry expanding method and overcomes the difficulty for searching symmetry curve confronted by the "Geometric Mapping" method.
该算法既具有基于几何展开方法的优点，又克服了“几何映射法”必须寻找对称线的困难，使得一步成形模拟方法更具有实用性。
Then a new method is proposed to measure indirectly cutting angles of drills with arbitrary point geometry by measuring the curve of the main edge projected.
以此为基础，提出一种通过测量主刃投影曲线间接测量主刃各点切削角度的新方法，较好地解决了任意刃形钻头切削角度的测量问题。
Then a new method is proposed to measure indirectly cutting angles of drills with arbitrary point geometry by measuring the curve of the main edge projected.
以此为基础，提出一种通过测量主刃投影曲线间接测量主刃各点切削角度的新方法，较好地解决了任意刃形钻头切削角度的测量问题。
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