齊次變換 的英文怎麼說

中文拼音 [biànhuàn]
齊次變換 英文
homogeneous tra formation
  • : 齊名詞[書面語]1. (調味品) flavouring; seasoning; condiment2. (合金, 此義今多讀 ) alloy
  • : Ⅰ名詞1 (次序; 等第) order; sequence 2 [書面語] (出外遠行時停留的處所) stopping place on a jou...
  • : 動詞1. (給人東西同時從他那裡取得別的東西) exchange; barter; trade 2. (變換; 更換) change 3. (兌換) exchange; cash
  • 齊次 : homogeneous
  1. Combining the homogeneous matrix transformation theory of space mechanism and computer graphics, we raise the general principle and motion simulation ' s method of complicated mechanism, which is represented by spacial multipole structure of open chain

    通過將空間機構學矩陣原理和計算機圖形學原理相結合,提出了以空間多桿開式鏈機構為代表的復雜機械繫統運動三維圖形模擬的一般原理和方法。
  2. Lastly the above stiffness matrix, the nodal variables of which are the dual of stress functions, is replaced by a new one with simple displacements vector regarded as unknown. such finite element satisfies homogeneous equilibrium equations and can pass the patch test as long as the original plane elasticity element can pass the corresponding patch test

    所得到的板彎曲單元在單元內部滿足平衡方程,並且只要原始平面彈性單元能通過常應分片試驗則轉得到的板單元一定能通過常曲率分片試驗。
  3. 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;根據空間坐標的模型,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。
  4. In the last forty years the research for finding solitary wave solutions has been experienced a great growth and some sucessful methods including the inverse scattering theory, backland transform, hirota ' s bilinear methods and the homogeneous balance method have been presented in succession

    近四十年來非線性演化方程孤波解的解法研究蓬勃發展,相繼誕生了一些比較成功的求解方法,如反散射方法、 b ( ? ) ckland方法、 hirota方法以及平衡方法等,這些方法多年來得到了廣泛的發展和應用。
  5. In this paper, i consider the traveling wave solutions and peakons of the generalized camassa - holm ( gch ) equation and give the express of the solitons of this equation. the peakons and their figures of the gch equation are given with the mathematic software for m - 1, m = 2 and m = 3 in particular ; for m = 3, i get the generalized dissipative camassa - holm equations by adding a dissipative term and find two types exact traveling wave solutions of this equations. i also apply the homogeneous balance method into the gch equation so that i get a group of smooth solutions for m = 2 and m = 3 and the backlund transformation for m - 3 of the gch equation

    本文研究廣義camassa - holm ( gch )方程的行波孤立子解及尖峰孤立子解,給出gch方程的行波孤立子解的表達式,特別的,對m = 1 、 m = 2 、 m = 3時利用mathematica數學軟體進行計算,解出了gch方程的尖峰孤立子解,並給出了此時gch方程的尖峰孤立子解的圖形,使數值分析和理論相結合;對m = 3時的gch方程增加一耗散項u _ ( xx )后得到廣義耗散camassa - holm方程,並解出此方程的兩類精確行波解;本文將平衡法應用到gch方程中,解出m = 2 、 m = 3時的gch方程的一組光滑解,同時應用此方法得到了m = 3時的gch方程的backlund
  6. 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

    ,應用矩陣分析和坐標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。
  7. 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坐標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。
  8. In chapter 1, we briefly reviewed the risk theory and its development. and the significance about this paper was expressed. in chapter 2, we introduced classical risk model. in which, making this risk process into a strong markovian process is the preparation of deriving the main results. chapter 3 is the main body of the paper, we derived the results about general ruin probability in a kind of continuous time risk model with deficit - time geometry distribution of claim inter - occurrence time. the martingale approach is a good procedure to get the expression of ruin probability about a class of continuous time risk models with deficit - time geometry distribution of claim inter - occurrence time. we also take advantage of change of measure idea from it

    第二章介紹了經典風險模型,其中用逐段決定馬爾可夫過程理論及補充量技巧,使一類風險模型的盈餘過程成為強馬爾可夫過程。第三章作為本文的主體部分,在索賠到達間隔服從虧時幾何分佈的連續時間風險模型中,索賠額分佈為一般分佈,它的破產概率可以利用pdmp中的廣義生成運算元得出鞅,通過調節系數的選擇以及在相應測度下的測度,使得破產概率的一般解可以表示出來。
  9. In the study of risk theory, a class of continuous time risk process with deficit - time geometry distribution of claim inter - occurrence time was made into a strong piecewise - deterministic markov process with the theory of piecewise - deterministic markov process and by introducing a supplementary variable. martingale approach is one of the most powerful methods of pdmp. the programming process is getting the ruin probability from the martingale construction. we use the idea of change of measure in the programming process and find the result and the function of adjustment coefficient

    本文應用逐段決定馬爾可夫過程理論及補充量技巧,使索賠到達間隔服從虧時幾何分佈的連續時間風險過程成為強馬爾可夫過程,然後利用pdmp中的鞅方法(用廣義生成運算元得出鞅)推導了鞅的形式,作為該風險模型索賠額分佈為一般分佈下的破產概率的一般表達式,其中用到了測度的思想。
  10. Transformation of homogeneous coordinates and its application in the analysis of spatial mechanism

    坐標在空間機構分析中的應用
  11. This risk process is made into a homogeneous piecewise deterministic markov process by introducing supplementary components from forward markovization technique. then a martingale is found by the martingale approach of piecewise deterministic markov process ( pdmp ). the general expression and the lundberg bound of the ruin probability are derived subsequently. the idea of change of the probability measure and the adjustment coefficient are used to find the lundberg bound

    首先利用向前馬爾可夫技巧使此風險過程成為馬爾可夫過程,然後利用逐段決定馬爾可夫過程( pdmp )中的鞅方法,得到本文風險模型中鞅的形式,繼而求得索賠額分佈為一般離散分佈的破產概率的一般表達式,並得到破產概率的lundberg界,這里用到了測度的思想,從中可以看出調節系數的重要作用。
  12. From the aspect of geometry, structure design, manufacture and examine, this paper generally summarizes the gcm ' s study progress in detail, discusses its kinetic rule and the determination of its primary structure parameter, and educes its surface equation and pressure angle equation based on the homogeneous matrix transformation and the conjugate engagement theory of spatial surface. on the basis of geometry study of gcm, the paper makes a comprehensive analysis to the interference phenomenon that will possible exist in the assemble course of two different structure of gcm with the help of matlab software

    本文從運動幾何學、結構設計、動力學、製造和檢測等方面對國內外弧面凸輪機構的研究進展進行了全面綜述,詳細論述了高速凸輪機構的運動規律和弧面凸輪機構基本尺寸的確定,基於空間曲面共軛嚙合原理,通過齊次變換推導了外弧面凸輪的曲面方程和壓力角方程,並提出了對應的廓面修形演算法;提出了內弧面凸輪機構的構想,推導了內弧面凸輪的曲面方程和壓力角方程。
  13. 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

    本論文應用微分坐標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。
  14. ( 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。
  15. 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坐標下用線性矩陣分析物體的成像問題。
  16. 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,利用坐標建立起機器人運動方程,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。
  17. 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矩陣、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、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,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。
  18. 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,採用先用坐標去除剛體位移,再用奇異值分解進行zernike擬合。
  19. The linear periodic time - varying vibration system can be changed to a constant coefficient linear system by l tansformation

    摘要線性周期時系統的狀態方程經李亞普諾夫后,周質系數線性時振動系統轉化為一非定常線性系統。
  20. 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量及其速度、加速度值。
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