极坐标；极座标；极坐标系统
Third, argument-polar radius curve of polar coordinate system whose pole is geometric gravity is formed, and maximum and minimum value points are searched.
然后以重心为极点，对边缘点极坐标化，形成幅角-极径曲线，在该曲线上寻找局部极大极小值点。
The scattering of SH wave and the dynamic stress concentration by a moving rigid cylinder in an elastic half space are stu***d with complex functions and multi-polar coordinate method.
应用复变函数、多极坐标方法研究弹性半空间中界面附近可移动刚性圆柱形夹杂对SH波散射与动应力集中问题。
The conversion formula between the polar angle and the generating angle and calculating steps during measuring the gear involute error by the polar coordinate measuring method are presented.
给出了极坐标法测量齿形误差时极角与展角的转换公式和计算步骤，并对以极角和展角表示的齿形误差曲线进行了对比。
In order to realize CT fast reconstruction on an ordinary PC, a fast reconstruction process using look-up table and polar coordinate back-projection was presented.
为了在普通PC机上实现计算机断层扫描（CT）快速重建，提出了利用查找表和极坐标反投影快速重建方法。
Using the concepts of radial velocity and transversal velocity in polar coordinate system, a problem of pursuant trajectory in kinematics is solved.
利用极坐标系中径向速度与横向速度的概念求解运动学中的一个追线问题。
In this paper, the way of calculation closed points polar coordinate of Cochlea crust with Lagrange's interpolation is discussed, and the error is analyzed with Newton interpolation method.
讨论了在水电站工程建设中计算蜗壳加密点时，建立极坐标系，利用拉格朗日插值法进行加密计算的方法。并用牛顿插值法对其进行误差估计分析。
Author presents stress component's expression under polar coordinate while a single force is applied to horizontal rock formation by means of Airy's stress function.
通过极坐标系下的艾里应力函数法，求解出在集中力作用下水平岩层中各应力分量。
This guy, you have two different ways of getting its polar coordinate equation.
有两种办法,可以得出极坐标系下的方程。
In this paper, the error in conversion of measurements under the polar coordinate system to ones under the Cartesian system is analyzed and an unbiased conversion formula is given.
主要针对情报处理中极坐标数据转换成直角坐标数据之间的误差分析，给出了无偏转换公式。
In this paper, the polar coordinate error equations on side, direction and height in the circular control worknet are derived ****** good use of the circular character of circular worknet.
针对环形控制网的网形特点，推导了各类观测量：测边、测方向和测高的极坐标误差方程式。
Using polar coordinate system to set out, the coordinate computing formula and the error of its approximate formula are discussed of any point in line.
本文用极坐标法放样，讨论了线路曲线中任一点坐标计算公式及其近似公式的误差大小。 收藏。
A method of surveying a complete curve in polar coordinate system by only changing instrument position and back viewing point are introduced in this paper.
本文提出了一种仅变换置镜点和后视点坐标而达到置镜任一点极坐标法测设整条曲线的方法。
In the adjustment program of triangulation net by directional condition observation, to apply the formulas of polar coordinate condition is a new way.
本文介绍了三角网按方向条件观测平差的电算程序中，应用极坐标条件式的新方法。
This paper proposes a subblock-based image retrieval method under the polar coordinate system for retrieving trademark image.
针对现有的四叉树分块方法的不足，提出了一种极坐标下的分块检索方法。
Through polar coordinate method error calculus demonstrated that the setting-out point error is mainly caused by angle measurement error.
通过对极坐标法误差的计算论证了放样点误差主要是由测角误差引起。
The model is continued by imposing a polar coordinate system on the moving reference frame .
通过把极坐标系作为该运动参照系而继续对模式进行积分。
This paper is directed to an advanced method for route survey-polar coordinate method of traverse, and try to establish a corresponding graph and data processing system.
针对导线极坐标法测设路线曲线的方法，提出一套完整的内业图形与数据处理系统的建立方法和步骤。
In this paper the scattering of SH-wave by multiple semi-cylindrical canyons are stu***d by using complex function and multi-polar coordinate method .
本文利用复变函数和多极坐标方法研究平面SH波对相邻多个半圆形凹陷地形的散射问题。
An uniform sampling image can be transformed to a space variant sampling image by log-polar coordinate mapping which reduces the searching space and redundant pixels.
通过采用对数极坐标映射，可将空间均匀取样得到的图像变换成非均匀取样的图像，从而减小冗余像素，压缩了搜索空间。
The mesh equations of gears are given by tangent polar coordinate system.
本文给出了切线极坐标下的齿轮啮合方程式。
The CORDIC algorithm is adapted to convert the polar coordinate image to the rectangular coordinate image, while cubic spline interpolation is used to interpolate the vacant pixels.
本文采用数字坐标旋转（CORDIC）算法将极坐标图像转化为直角坐标图像，并采用三次样条插值的方法对漏点进行弥补。
A set of formulas for analyzing high order modes of coaxial lines with arbitrary section in polar coordinate by the method of lines are rigorously derived in this paper.
本文应用直线法理论严格推导了在极坐标系统中分析任意截面形状同轴线高次模的公式。
The estimation of the angle becomes much easier as the introduction of the polar coordinate.
由于极坐标的引入，使得角度的估计大大的简化。
Second, we combine this mobile robot with laser rangefinder. The method consists of two modules: curvature estimation in polar coordinate system and topological map built in advanced.
接著，自走车在搭配雷射测距仪的情况下，计算极座标上一维资料的曲率以及查询已建置好的拓朴地图。
The issue of polar coordinate-orthogonal coordinate conversion, which is a key factor of the system, may be encountered inevitably as simulating traditional PPI radar indicator on raster scan display.
在光栅扫描显示器上模拟传统PPI雷达显示器，不可避免地会遇到直角坐标与极坐标转换的问题，而雷达回波信号从极坐标到直角坐标的变换是决定系统性能的关键。
A double-polar coordinate system is established.
建立一个双极坐标系。
极坐标系（Polar Coordinate）是一种二维平面内的坐标系统，用于描述点的位置。与常见的直角坐标系（Cartesian Coordinate）不同，极坐标系通过距离原点的长度（半径）和与参考方向（通常为x轴正方向）的夹角来确定点的位置。这种坐标系广泛应用于数学、物理学、工程学以及导航等领域。
$$ θ = arctanleft(frac{y}{x}right) $$
极坐标((r, θ))可通过以下公式转换为直角坐标((x, y))：
$$ x = r cosθ, quad y = r sinθ
$$
反向转换公式为：
$$ r = sqrt{x + y}, quad θ = arctanleft(frac{y}{x}right) $$
极坐标系的概念最早由瑞士数学家雅各布·伯努利（Jacob Bernoulli）在17世纪提出，后经莱昂哈德·欧拉（Leonhard Euler）等人完善，成为现代科学研究的基石之一。
Polar Coordinate（极坐标）是数学中用于描述平面上点位置的坐标系，与直角坐标系（笛卡尔坐标系）不同，它通过距离原点（极点）的长度和与极轴（通常为x轴正方向）的夹角来确定点的位置。其基本形式为 ((r, theta))，其中：
与直角坐标的转换：
多值性：同一位置可用不同极坐标表示。例如，((r, theta)) 与 ((r, theta + 2kpi))（(k)为整数）或 ((-r, theta + pi)) 表示相同点。
极坐标点 ((3, frac{pi}{4})) 表示距离原点3个单位、与极轴夹角45度的位置，对应直角坐标约为 ((2.12, 2.12))。
若需进一步了解公式推导或具体应用案例，可参考数学教材或工程学相关文献。
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