cubic spline 中文意思是什麼

cubic spline 解釋
三次仿樣函數
  • cubic : adj. 1. 立方體[形]的，正六面體的。2. 【數學】三次的，立方的。n. 【數學】三次曲線；三次方程式；三次多項式；三次函數。
  • spline : n. 1. 【機械工程】花鍵；方栓；止轉楔；齒槽，齒條，鍵槽條。2. 【建築】塞縫片。3. 活動曲線規。vt. 1. 開鍵槽于。2. 用花鍵（或方栓）聯接。
  1. 2. analyzing the displacement of the follower based on the assur - group method and the differentiation of the cubic spline function 3

    2 .以桿組分析方法為基礎，結合三次樣條函數求導法進行從動件的位移分析。
  2. The convergence of cubic spline interpolation

    三次樣條插值的收斂性
  3. Three imaging methods are introduced : range - doppler imaging, projection tomography imaging, polar - doppler imaging. several interpolation methods are introduced, and their simulation results are compared, and cubic spline interpolation is proved to be the best

    介紹了最基本的三種成像方法：直角坐標距離-多普勒成像、投影層析成像和極坐標距離-多普勒成像。
  4. A new nn is presented and put into modeling work for the test. the empirical test indicates this kind of nn can perform excellent than traditional modeling methods such as linear interpolation, cubic spline interpolation

    把這種網路用在智能金免疫層析試條定量測試系統數學模型的建立中，將其結果與傳統插值法如線性插值、三次樣條插值法的建模結果相比，效果較好。
  5. The tsf method combines efficiently llsf and tri - cubic spline interpolation, learns from others " strong points to offset one ' s weaknesses, so has rapidity and high accuracy of computation and is suitable for contour surface drawing in real - time. 3

    該方法綜合多元樣條擬合法與局部加權最小二乘法，揚長避短，不僅保證了逼近精度，提高了計算速度，而且加密計算的結果可直接應用於等位面的實時顯示。
  6. Because hrv signal is unevenly sampled, direct spectrum estimation will cause wrong result. resample on hrv signal is necessary. in this chapter after comparing different evenly sampling methods, the best way - cubic spline interpolation is adopted in spectrum estimation

    由於心率變異信號是一種不等間隔采樣信號，不能直接採用傅立葉變換的方法進行頻譜分析，因此將心率變異信號等間隔化是必要的。
  7. So, we propose another novel algorithm using the cubic spline interpolation along the relevant direction and computing weights by trigonometric function of the gradients. the algorithm also adopts the correlation between color channels. and it proved highly effective based on some tests

    鑒於此，本文接著提出了一種基於三次樣條函數在相關方向進行插值以及利用梯度的三角函數關系來計算相關性加權系數的混合型插值方案，並結合了考慮不同顏色通道間的相關耦合關系。
  8. This paper presents monomodality registration of rigid body, elastic rigistration of non - rigid body and interpolation used in image registration. by comparison of several interpolations, because of the best tradeoff between accuracy and the computational cost, cubic spline interpolation is selected as interpolation of this paper ' s registration

    首先通過對配準中所採用的幾種插值演算法進行了比較，選出了有較高插值質量和有較高計算效率的三次樣條插值演算法作為本文中配準方法所採用的插值。
  9. At first, this paper presents two - demensional quartic convolution interpolation to smooth digital terrain. it is acquired from that it makes use of that the interpolation function of cubic spline interpolation has a continuous third derivative on the base of two - dementional cubic convolution interpolation. two - demensional quartic convolution interpolation is more precise than two - dementional cubic convolution and simpler than cubic spline interpolation in calculation. it can satisfy real - time route planning of ucav

    首先，在軌跡規劃前需要對數字地圖進行平滑處理，本文提出了二維四次卷積插值法。它在二維三次卷積插值法的基礎上利用三次樣條插值法的插值函數具有三階連續導數的性質而得來的。
  10. In order to calculate easily and do n ' t influence the single - chip microcomputer ' s calculate velocity, we put forward two scheme to deal with the numerical value, one is to use a simple function to close or approach a normal function f ( x ) ( mainly is lagrange ' s intepolation, newton ' s intepolation, hermite ' s intepolation, cubic spline interpolation, etc. ) the other one is function approach ( mainly is chebyshev ' s polynomic. legendre ' s polynomic, laguerre ' s polynomic, method of least squares, etc. ), we analyze and compare the lagrange ' s intepolation and chebyshev ploynomic, at last, we select the chebyshev polynomic to do the value calculating on single - chip microcomputer

    提出了數值處理的二種方案。即用簡單函數近似或逼近一個一般函數f （ x ） （主要有拉格朗日插值、牛頓插值、埃爾米特插值、三次樣條插值等）和函數逼近（主要有切比雪夫多項式、勒讓德多項式、拉蓋爾多項式、最小二乘法等） ，對上述兩個方案中的典型函數?拉格朗日插值和切比雪夫多項式進行了分析比較，最後選取切比雪夫多項式完成單片機上的數值計算。
  11. Cubic spline functions polynomial are used directly to approximate the time - varying coefficients

    利用三次樣條基函數多項式逼近時變系數，將時變參數的佑計轉化為定常參數的估計。
  12. In this dissertation, the numerical computation for the acoustic radiation problem ( arp ) is studied deeply and systematically in the theory, method and the application technique, based on analyzing the situation of the home and abroad on the numerical computation for the acoustic radiation problem. the calculation formulas of the boundary element method ( bem ) for the exterior acoustic radiation problem in the full - space and half - space are deduced, based on the wave propagation theorem ; the arising of the non - unique solutions, which is associated with the application of the boundary integral equation ( bie ) in acoustic radiation problem, is analyzed and proofed ; the improved combined helmholtz integral equation formulation ( ichief ) is presented to overcome the non - uniqueness problem more effectively and reliably ; the determination of the singular integral coefficients on various occasions is analyzed ; the properties and treatments of the singular integrals with different orders axe studied ; the computation program of the cubic spline ichief is developed and its ability to overcome the non - uniqueness problem and feasibility to discrete the surface coarsely with the sufficient calculation precision are examined through examples

    第二章在聲波動理論基礎上，詳細地推導出對應于無限域和半無限域的外部振動聲輻射問題的邊界積分方程計算公式；根據fredholm積分理論，對利用邊界積分方程計算振動聲輻射問題過程中解的非唯一性的產生進行了分析和證明；改進了chief法以提高其克服解的非唯一性的有效性和可靠性；對不同條件下奇性系數的計算、強奇性積分的收斂性及其在變量替換時與普通積分的差異性、不同階奇性積分的計算、數值求積分等進行了研究；開發了三次樣條改進chief法計算軟體，並通過算例考核了該方法在特徵波數處克服解的非唯一性的有效性和在保證計算精度的前提下實現剖分粗化以提高計算效率的可行性。
  13. Thus the areas of the overlapping regions are compensated efficiently and the accuracy of measurement is highly improved. the volume of the bubbles can be estimated on the bubbles " area information, and a genetic algorithm ( ga ) based method is used to match and track bubbles in the image sequences, which solve tracking problem under complex conditions efficiently, such as some bubbles may have kinetic occlusion and crossover, some newly generated bubbles may entered into flow field and run away. a smooth kinetic locus is obtained by fitting the discrete centroids with a cubic spline function and at the same time the visual measurement is realized

    根據氣泡在圖像平面中的面積估計氣泡的體積，並對流場中的所有氣泡採用遺傳演算法進行最佳的匹配跟蹤，有效地解決了氣泡群在流場中出現如遮擋、交又、新它『出現、逃逸等復雜情況下的準確跟蹤，並採用三次樣條插值方法對離散的質心點軌跡進行擬合，得到氣泡在流場中平滑的運動軌跡，從而實現了摻氣水流特性的可視化測童。
  14. The water quality respond relation of input - output measurements are established by systematic theory in this paper. according to the peculiarity of hydrology and the necessity of water quality inverse problem the multi - parameter inverse problem model based on ordinary differential equation is developed. the existence and uniqueness of the solution of the ordinary differential equation about two parameters or multi - parameter are to be proved. the unstability depending on errors between monitoring data and interpolation approximate data are analyzed and demonstrated. cubic spline interpolation function, the least two multiply and positive rule method are conjoined for obtained solution of multi - parameter. the results from this algorithm indicats its efficient to the multi - parameter identification in water quality modeling

    本文應用系統理論，建立了水質多參數輸入輸出之間的響應關系；根據河流水文水質變化特點和參數反問題的需求，建立了水質常微分方程多參數反問題模型.根據常微分方程參數反問題的數學理論，作者給出了兩參數和多參數水質常微分方程反問題的解的存在性、唯一性的理論證明過程和結論；還針對水質現有監測資料的測驗誤差和插值近似計算誤差造成參數反問題的不穩定性，將三次樣條插值函數、超定方程最小二乘法和正則化演算法有機地結合使用，成功地給出了水質參數反問題的穩定化演算法.最後給出了應用計算結果
  15. In calculation, cubic spline curve is used to instead contour line. this method can increase the precision of curvilinear distance measurement

    並在具體計算時，採用三次樣條曲線代替輪廓線，提高了曲線長度的計算精度。
  16. Surface modeling approach for free - form machining based on the cubic spline function

    基於三次樣條的離散點曲面構建演算法
  17. Algorithm is improved by matlab simulation. cubic spline function is used for constructing joint trajectories of a certain path

    確定機械臂的運動路徑后，運用三次多項式對關節軌跡進行規劃。
  18. In this paper a numerical method for equations of transport and biodegradation in the fractured media is discussed. because the equations consist of terms related to advection, diffusion, biochemical as well as the term of exchange betwen the fracture and the porous media, it is very difficult to find their solution. in order to find more efficient method for solving these equations, several numerical methods for the equations without biochemical terms are discussed first. the numerical results show that the cubic spline method can be used to solve advection flow dominated problem which often occurred in the fractured media. then, the equation with both advection - diffusion term and biochemical term are discussed. the splitting - operator is used to decouple the advection and diffusion terms with biochemical term in the equations. the way to determine the smaller time step for solving fast biochemical terms is introduced through comparing the order of characteristic time of biochemical term with that advection ( diffusion ) term. numerical simulation results show that good agreement between analytical solution and experiment result is attained

    本文討論了含裂隙介質地下水污染物輸運與生物降解非線性方程組數值求解方法.方程含有對流項、擴散項、生長、死亡、吸附、解吸、趨化和孔隙與裂隙介質界面間的交換項的非線性偶合，使演算法十分困難.本文討論了無生化過程時的幾種求解方法，數值結果表明：用三次迎風插值法對常見的對流項占優勢，且場變量有較大梯度的問題較適用.在討論有生化反應過程時，利用對流項與生化反應項的特徵時間量級估算，給出了求生化過程作用子步的時間步長估算辦法.用上述方法所得到的模擬結果與解析解、無化學反應和有化學反應的實測值對比，吻合很好
  19. The error estimation of a rational cubic spline

    帶有界約束非凸二次規劃問題的整體優化方法
  20. The error analysis of double cubic spline function for rectangular ranges

    均勻矩形區域下雙三次樣條函數的誤差分析
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