齊次坐標 的英文怎麼說
中文拼音 [qícìzuòbiāo]
齊次坐標
英文
homogeneous coordinates-
Aspheric optical compound machine tool ( aocmt ) which integrates grinding, lapping and polishing is developed. the influences of motion errors on grinding accuracy are analyzed. according to homogeneous coordinate transition model, the postposition processing algorithm in multi - axis numerical control machining is deduced
3 、研製了集銑磨成型、研磨、拋光於一體的光學非球面復合加工機床（ aocmt ） ，分析了各種運動誤差對銑磨精度的影響；根據空間齊次坐標的變換模型，推導出多軸數控加工的後置處理演算法；通過五軸數控聯動， aocmt機床能夠以法向方式加工出任意復雜的光學表面，銑磨精度穩定在8 m之內。At the beginning, the basic theory of plane measurement ? some basic elements in planar projective geometry, including 2d protective plane, homogeneous coordinates and homography are introduced. the pinhole camera model and the basic algorithm of image measurement are discussed
首先介紹了平面測量問題的理論基礎? ?平面射影幾何的一些基本元素：射影平面，齊次坐標，平面單應等，接著討論了攝象機針孔模型以及基於圖象的平面測量基本原理。Secondly, i applied the method of matrix analysis to build up mathematic model of swaying platform, and solved the question of motion anti - solution, velocity and acceleration. then i analyzed the dynamics problems of the swaying platform. based on the calculation of the swaying platform ’ s force and moment, built up the dynamics equations of swaying platform by using virtual work principle
其次，應用矩陣分析和齊次坐標變換建立了搖擺臺的運動學數學模型，從反運動學的角度分析了搖擺臺的位置、速度和加速度的反解方程;分析了搖擺臺的動力學問題，通過對搖擺臺的驅動桿進行附加力和附加力矩計算，並利用達朗貝爾原理和虛功原理，建立了搖擺臺的動力學方程。This paper first researched the general situation of domestic and abroad developments in the field of ultra - precision aspheric surface machining technology and its numerical control system, analyzed the aspheric surface machining principle of ultra - precision machine, and in these bases, founded the kinematics model of ultra - precision machine in ideal condition using the homogeneous coordinate conversion method in robotics
分析了本實驗室超精密機床非球面加工原理，在此基礎上應用機器人學中齊次坐標變換的方法建立了理想情況下超精密機床運動學模型，通過綜合分析超精密機床的運動誤差，給出了超精密機床的誤差補償模型。Transformation of homogeneous coordinates and its application in the analysis of spatial mechanism
齊次坐標變換在空間機構分析中的應用Nurbs curve equation has three kinds of the equivalence form, i. e. rational fraction, rational base function and homogeneous coordinate
Nurbs曲線方程具有三種等價形式：有理分式表示、有理基函數表示和齊次坐標表示。This paper employs differentiation transformation and the method of differentiating completely homogeneous coordinate transformation to set up errors equations group, the discussion of the errors of double - triangle pkm is conducted
本論文應用微分變換和齊次坐標變換的全微分建立誤差方程組，討論了雙三角形並聯機構的位姿誤差分佈。( 2 ) link coordinates of the manipulator were set up by denavit - hartenberg method. simultaneously, forward kinematics and inverse kinematics was modeled through homogeneous transformation and jacobian matrix was reached as well, which provided the basis for kinematics analysis, simulation and performance optimization
（ 2 ）採用denavit - hartenberg方法設定了番茄收獲機械手桿件坐標系，通過齊次變換建立了正運動學與逆運動學模型，獲得了番茄收獲機械手雅可比矩陣，為機械手運動學分析、模擬與性能優化奠定了理論基礎。Finally, extension algorithms for nurbs curves are discussed by means of homogeneous coordinates
最後，利用齊次坐標討論了nurbs曲線的延伸演算法。Several steps of the work have been done to achieve the system. first is to analysis the camera model and imaging transformation by homogeneous reference frame
作者在實現該系統中，首先分析攝像機的成像模型以及如何在齊次坐標下用線性矩陣分析物體的成像變換問題。With the structure character of coiling robot, the transformed equations of robot movement is established by using equal - power coordinate transformation. the path scheduling method of robot is deeply researched and then imitates the robot ' s movement path by using b - splint function on the disperse point gotten by scheduling on robot ' s coiling movement path to ensure the robot ' s movement track to be a clean and continuous line. then the track is optimized by dynamic scheduling method
結合繞線機器人的結構特點，利用齊次坐標變換建立起機器人運動變換方程，探討了機器人路徑規劃的一般方法，並利用b樣條函數對機器人繞線運動路徑規劃所得的離散路徑點進行逼近，以保證機器人運動軌跡是一條光滑連續的曲線，並利用動態規劃方法對機器人進行時間最優軌跡規劃。Firstly, the paper introduces the development and application of computer graphics & image technique, discusses the principle and method of cg and digital image processing, such as matrix of the graphic transformation, homogeneous reference frame, sampling and quantization of the image, file format of the image, template operation, etc. secondly the paper introduces the purpose and method of image enhancement processing, explains the each occasion of those methods such as threshold transformation, smoothing processing, sharpening processing, analyzes and contrasts the processing results of object image. thirdly, the paper introduces the method of mathematics morphologic, edge detection and thinning processing, attains character description of image and character dots of the contour. fourthly, the paper processes the coordinate transformation to character dots and basic splines fitting, imports correlative condition to devise meshing line and meshing track
本文首先介紹了計算機圖形圖像技術的發展與應用情況，對計算機圖形學和數字圖像處理的一些基本理論和方法如圖形變換矩陣、齊次坐標系、圖像采樣和量化、圖像文件格式、模板操作等內容進行了討論：然後對圖像增強處理的目的和方法進行了介紹，對諸如閥值變換、平滑處理、銳化處理等方法的應用場合進行了說明，並對實物圖像的處理結果進行了分析與比較；接下來介紹了數學形態學方法、對增強后的圖像進行邊緣檢測的方法和圖像的特徵描述方法，並獲取輪廓的特徵點：隨后對獲取的特徵點進行坐標變換，並進行b樣條曲線擬合，引入相關條件生成齒輪副的嚙合線及嚙合軌跡：最後引入等值線和區域填充表示方法，並以等值線和區域填充的形式對弧齒錐齒輪嚙合模擬的載荷分佈情況進行了直觀的表示。Gram - schmidt method for zernike polynomials fit and singular value decomposition ( svd ) are concerned. the direction question for zernike polynomials fit is discussed and the surface error in the normal direction is deduced. to solve - the coupling and mixture of zernike polynomials fit method, rigid - body displacement is removed with coordinate transformation and then fitted with zernike polynomials
介紹了zernike擬合的gram - schmidt以及奇異值分解兩種方法；論述了zernike擬合時的方向問題，計算了法線方向的面形誤差；針對zernike擬合時的藕合與混淆，採用先用齊次坐標變換去除剛體位移，再用奇異值分解進行zernike擬合。Kinematic analysis : by denavit - hartenberg method, space geometry relationship of each pole relative to fixed reference frame can be described with equal index transform, also do space relationship of two adjacent poles with 4x4 equal index. so equivalent equal index transform matrix can be deduced from them. when sportive equations and sportive coordinate frame of workpiece exercise point are set up, the coordinate values of exercise point can be got, the pose and situation of two manipulators are analysed, in the end each joint valiable and its velocity, acceleration are worked o ut
運動學分析：利用denavit ? hartenberg法，用齊次變換描述各個桿件相對于固定參考系的空間幾何關系，用一4 4的齊次變換矩陣描述機鄰兩桿的空間關系，從而推導出等價齊次變換矩陣，建立兩機械手運動方程，確定工件作業點隨動坐標系，求出作業點坐標，對兩機械手的位姿進行解析，求出兩機械手的各關節變量及其速度、加速度值。分享友人