[數] 坐标變換
Using a compressibility coordinate transformation, a set of the first derivative differential equations has been derived.
采用了壓縮性的坐标變換後，推導得到了五個一階導數的微分方程組。
System first by the coordinate transformation from coordinate system transformation to the orthogonal coordinate system, the change is reversible.
系統首先經坐标變換由坐标系轉化到正交坐标系中，此變換是可逆的。
It shows the moving method is the most effective approximation method in all method, whether plane coordinate transformation or space coordinate transformation.
研究表明，不論平面坐标變換或空間坐标變換，移動法都是最有效的一種數值逼近方法。
Disscusing the algorithm of alignment of mult-version point cloud by coordinate transformation theory.
探讨了利用坐标變換理論對多視點雲數據對齊的算法。
Based on the principle of computer vision, this paper presents a matrix algorithm for the coordinate transformation from visual plane to geographical plane.
在計算機視覺原理的基礎上，本文提出了一種求取從視平面坐标到實際坐标轉換矩陣的算法。
The method is greatly improved on an old one by calculating traverse error orthocenter, coordinate transformation and separation. so as to make the calculation easier.
該方法通過求導線誤差重心，坐标變換和分離的手段對原方法作了重大的改進，從而使計算變得簡單。
Providing error analysis gist for three points preliminary centering and centering coordinate transformation.
為工件三點初步定心誤差分析及定心坐标變換提供依據。
This paper analyse global coordination motion of biped robot, compute the center of gravity of four limbs mechanism of series connection based on the coordinate transformation of D-H method.
通過分析雙足步行機器人整體的協調運動，基于D-H法的坐标變換，對步行機器人四肢串聯機構進行了重心合成計算。
A new algorithm of solving the intersecting line equation for multi-pipe is presented by means of coordinate transformation and generatrix comparison.
利用坐标變換、母線比較等方法，形成了求解空間多管相貫相貫線展開方程的新算法。
Based on the homogeneous coordinate transformation method, a unique form of the planar error synthesis models is proposed to combine both the geometric and thermal errors of a NC twin spindle lathe.
本文以某生産廠家的一台數控雙主軸車床為研究對象，根據齊次坐标變換原理，推導出了該機床的幾何誤差和熱誤差的綜合數學模型。
Using three-dimensional space vectors, this paper describes a ****** method for detecting the distorted current without any coordinate transformation.
利用三維空間矢量，提出了一種新型的無需坐标變換的三相電路畸變電流檢測方法。
Using coordinate transformation, we study the event horizon of accelerating non-stationary black holes, the equation of event horizon surface is calculated out.
采用坐标變換的方法，研究幾種加速運動動态黑洞的事件視界，得到了黑洞的視界面方程。
The geometrical parameters associated to oblique cutting were analyzed using the coordinate transformation approach.
使用坐标變換法分析了斜角切削幾何參數之間的關系。
The computing of latitude is the key of geodetic coordinate transformation from geocentric coordinate which conventionally uses iterative methods.
大地緯度的解算是從地心直角坐标到大地坐标變換的關鍵，通常都用采用疊代法實現。
In nuclear physics, threshold energy is generally calculated by the method of coordinate transformation.
在核物理學裡，求阈能一般用坐标變換的方法。
Conclusion:The registration method of picking-up eigenvector and fast coordinate transformation is more applicable to register the dataset of digitized visible human.
結論：采用特征提取和快速坐标變換的配準方法可較好地應用于數字化可視人數據集的圖像配準。
Based on the transformation of synchronous coordinate transformation and SPLL, this paper proposes a single-phase voltage sag detection method.
本文基于同步坐标變換及軟件鎖相環（SPLL），提出了一種單相電壓凹陷檢測方法。
Based on the hypothesis that Doppler effect means a coordinate transformation of the frequency of a wave, the Doppler effect formulas are derived from Lorentz transformation.
基于把多普勒效應理解為波頻率的坐标變換，由洛倫茲變換推導出適用于任何波的多普勒效應公式。
A method of dealing with two-target problem in terms of coordinate transformation and qualitative differential game was presented in this paper.
結合坐标變換和能控區及微分對策方法，本文提出較為細綴的一種處理雙機格鬥“二重角色”問題的方法。
Using the coordinate transformation made the motion equations became to mutual independence two steps differential equation.
利用坐标變換将運動方程解耦成相互獨立的二階微分方程。
The coordinate transformation, local one dimension method and singularity-removing method have been used. The numerical results are convincing.
通過坐标變換、高精度分裂算法及奇性消除方法等手段，計算出可靠的數值結果。
A novel orthogonal ellipsoidal coordinate transformation is proposed to simplify the derivation.
提出了一種新的正交橢球坐标變換以簡化推導過程。
Using a coordinate transformation matrix, which is formed by these linearly independent mode set, the component equations of motion in generalized coordinates are derived.
應用這組線性無關的模态集構成坐标變換矩陣，推導出廣義坐标下的部件動力學方程。
An error synthesis model for the machining centers is set up by using homogeneous coordinate transformation and tool workpiece connection vector.
本文将齊次坐标變換理論結合刀具與工件聯結鍊矢量概念建立了加工中心誤差運動綜合補償模型。
The application of coordinate transformation and principle of symmetry to element stiffness matrices has also been discussed.
文中還讨論了單元剛度矩陣的坐标變換和對稱性應用。
This article, aiming at the coordinate transformation problem in small religion, stu***s a ****** and practical coordinate transformation model, and its validity is verified by surveying data.
本文針對小區域的坐标轉換問題，探讨了一種簡便實用的坐标轉換模型，并經實測數據驗證了該模型的有效性。
General Scan-Line Polygon Fill Algorithm adopts some key methods such as coordinate transformation and floating number rounding strategy.
通用掃描線多邊形算法采用了坐标變換、浮點數舍入策略等重要方法。
|coordinate conversion/change of coordinates;[數]坐标變換
坐标系變換（coordinate transformation）是數學和工程學中用于描述同一物體在不同坐标系下位置關系轉換的過程。其核心是通過數學公式或矩陣運算，将點的坐标從一個坐标系映射到另一個坐标系。例如，在機器人學中，機械臂末端的空間位置可通過齊次變換矩陣從關節坐标系轉換到世界坐标系。
數學原理
坐标系變換通常包含旋轉、平移和縮放操作。以二維直角坐标系轉換為例，若原坐标系繞原點旋轉θ角度，點( (x, y) )在新坐标系中的坐标可表示為：
$$
x' = x costheta - y sintheta
y' = x sintheta + y costheta
$$
該公式源于經典幾何變換理論（參考：國際數學聯盟《幾何變換基礎》）。
應用領域
實際案例
自動駕駛系統中，激光雷達點雲數據通過剛體變換矩陣将傳感器坐标系與車輛全局坐标系對齊，該過程涉及四元數旋轉和平移向量計算（來源：SAE International自動駕駛技術标準J3016）。
坐标變換（Coordinate Transformation）是指将一個坐标系中的點或數據轉換到另一個坐标系中的數學過程，廣泛應用于數學、物理學、工程學和計算機科學等領域。以下是詳細解釋：
begin{pmatrix} costheta & -sintheta sintheta & costheta end{pmatrix} begin{pmatrix} xy end{pmatrix} $$
若要将極坐标系 $(r, theta)$ 轉換為笛卡爾坐标系 $(x, y)$： $$ x = r costheta, quad y = r sintheta $$ 反向變換則為： $$ r = sqrt{x + y}, quad theta = arctanleft(frac{y}{x}right) $$
坐标變換的核心目标是簡化問題分析或實現不同系統間的數據兼容性。掌握其原理對解決多學科複雜問題至關重要。
moustachebe dying toengagementperiodicdispensedaubepitomizeAgamemnonbounceddistinctivelygamednetworksPawlikpurificatorywonderschemical additivecirculating coolingcorrection factormoist soilretreat fromscattering inultra fastwall mountedairbedbastosebuffoonerychloropeniaelectromaluxextrasystoleflanneled