直角坐标；矩形座标
This paper puts forward a method for nonlinear 3D rectangular coordinate transformation based on improved Guass-Newton method.
提出了一種基于改進的高斯-牛頓法的非線性空間三維直角坐标轉換的方法。
And the paper achieved conversion from the completed polar coordinates to rectangular coordinate, and solved two key problems, dead address and blind zone phenomenon.
本文完成了雷達數據從極坐标到直角坐标的轉換，解決了坐标轉換易出現的死地址和盲區現象。
Objective:To establish three-dimension (3D) rectangular coordinate and to obtain relevant parameters of artificial tooth morphology for full denture.
前言： 目的建立用于全口義齒人工牙的三維坐标系并測量其相應參數值。
Rectangular coordinate must be input when we use computer to draw cam contour line or use numerically controlled machine to process it.
采用計算機繪制和數控機床加工凸輪廓線時，都要輸入直角坐标值。
This paper deals with the problem of truncating the open boundaries of cylindrical waveguides under the rectangular coordinate system, and gives the CPML's construction parameters.
讨論在直角坐标系下用卷積完全匹配層（CPML）截斷圓柱波導開放邊界的模型，給出了CPML的構造參數。
In the rectangular coordinate system, we express the electric field intensity and different position electric field energy of the elliptical ring with positive electric charge in the central axis.
在直角坐标系中分别表示出了均勻帶電橢圓形環在中心軸線上任意位置處的電勢及電場。
Compared with conventional wide angle BPM in rectangular coordinate system (RCS WA BPM), much better results are obtained with this method especially for waveguides with large tilted angle.
用坐标變換的傾斜坐标系中的廣角光束傳播法對光波導進行了分析。
It features simplicity and is suitable for the data processing of measuring involute by using the rectangular coordinate method.
與齒形誤差定義要求一緻，算法簡單，適用于直角坐标法測量齒形誤差的數據處理。
In missile test, the transformation methods from earth rectangular coordinate to geodetic coordinate are often used.
在靶場試驗任務中，經常要用到地心直角坐标到大地坐标的轉換算法。
Based on the steady state model of VSC, the rectangular coordinate form of VSC's power transmitting equations is deduced through coordinate conversion.
在VSC穩态模型的基礎上，通過坐标變換，推導出了VSC功率傳輸方程的直角坐标形式；
This paper deals with application of coordinate rotating transition in design cam contour line and gives some designing examples and its rectangular coordinate expression .
采用計算機繪制和數控機床加工凸輪廓線時，都要輸入直角坐标值。
A general method for solving mechanical problems of multilayered subgrade is performed in a rectangular coordinate system, whereas solutions only existed in cylindrical coordinates before.
首次建立了在直角坐标系下層狀地基力學問題的通用解法，改變了過去僅能在柱坐标系下進行求解此類的狀況。
In a. plane rectangular coordinate system, mathematics simulation of the change of moisture content in a corn kernel during tempering is presented by the finite element method.
在平面直角坐标下，利用有限元方法，對玉米顆粒在緩蘇過程中的含水量變化進行了數學模拟。
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.
本文采用數字坐标旋轉（CORDIC）算法将極坐标圖像轉化為直角坐标圖像，并采用三次樣條插值的方法對漏點進行彌補。
Basing on the well-timed characteristics that the assemble language has when executing. A dynamic diversification chart in rectangular coordinate is designed for display screen.
基于微機原理中彙編語言程式執行的實時性特點，設計了在微機顯示器屏幕上畫直角坐标系下的動态變化圖。
In this algorithm, the measured value of seeker initially set in polar coordinate system was converted into the rectangular coordinate system for filtering, and the bias was eliminated.
該濾波算法将球坐标系中的測量信息轉換到直角坐标系下進行濾波，并消除了偏差。
It was proved that in the local rectangular coordinate system the basic system of equations of atmospheric motion was stable equations in infinitely differentiable function class;
證明局地直角坐标系中的大氣運動基本方程組在無窮可微函數類中是穩定方程；
The kinematics of most of the machines are based on a rectangular Cartesian coordinate system.
大多數機床的運動學都是基于直角坐标系統。
We often have to finish the work of transformation between Rectangular Plane Coordinate Systems.
在測量工作中，常需要進行平面坐标系之間的轉換計算工作。
When curvature radius is larger the results for rectangular and cylindrical coordinate are the same.
當曲面曲率半徑較大時，用柱坐标與直角坐标計算差别很小。
By analyzing the theory of geographic coordinates and rectangular coordinates interconversion, algorithmic researches and completion of coordinate conversion programming has been discussed.
通過對地理坐标與地面直角坐标相互轉換原理的分析，論述了坐标轉換和算法研究及實現方法。
The computer vision measuring technology based on the rectangular grid laser mark is a three-dimensional coordinate measuring technology with high accuracy.
基于激光網格标記的視覺測量技術是一種高精度的三維坐标測量技術。
After converting the measurements of detector, such as radar, in ball-coordinate system to the measurements in triangular rectangular-coordinates system, the error distribution ruler will be changed.
将觀測器（如雷達）在球坐标系的測量值轉換到三維直角坐标系後，其誤差分布規律将發生變化。
Then, r of course is a polar coordinate r But here, it looks more like you have rectangular coordinates again.
然後從xy平面來看,就是極坐标中的距離。，seen，from，the，point，of，view，of，the，xy，plane。,但是這裡，看起來還是個直角坐标系。
|rectilinear coordinate;直角坐标；矩形座标
直角坐标系（Rectangular Coordinate System），也稱為笛卡爾坐标系（Cartesian Coordinate System），是一種通過兩條相互垂直的直線（稱為坐标軸）來确定平面上點位置的數學系統。其核心特征如下：
基本構成
系統由兩條相交于原點（Origin，标記為 ( O )）的數軸構成：
兩軸将平面劃分為四個象限（Quadrants），每個象限内坐标符號有固定規律（如第一象限為 ( (+,+) )）。
點的定位原理
平面上任意點 ( P ) 的位置由一對有序實數 ( (x, y) ) 唯一确定：
例如，點 ( (3, -2) ) 表示從原點向右移動 3 單位，再向下移動 2 單位。
核心優勢與應用
與極坐标的對比
區别于用距離和角度定位的極坐标系（Polar Coordinates），直角坐标系強調垂直投影關系。兩者可通過公式轉換：
$$ x = r cos theta, quad y = r sin theta $$
權威參考來源：
直角坐标系是數學與工程學的基礎概念，其定義和原理可見于經典教材如：
"Rectangular coordinate"（直角坐标系）是數學中用于描述平面或空間中點位置的一種系統，也稱為笛卡爾坐标系（Cartesian coordinate system）。其核心特點是使用互相垂直的軸來定義坐标。
定義
在平面上，直角坐标系由兩條互相垂直的直線（稱為坐标軸）組成：
點的表示
平面上的任意點可用有序數對$(x, y)$表示，其中：
三維擴展
在三維空間中，增加z軸（垂直于x-y平面），點的位置表示為$(x, y, z)$。
點$(3, 4)$表示從原點向右移動3個單位（沿x軸），再向上移動4個單位（沿y軸）。兩點$(x_1, y_1)$和$(x_2, y_2)$間的距離公式為：
$$
sqrt{(x_2 - x_1) + (y_2 - y_1)}
$$
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