cubic spline function 中文意思是什麼

cubic spline function 解釋
三次樣條函數
  • 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。
  • function : n 1 功能，官能，機能，作用。2 〈常 pl 〉職務，職責。3 慶祝儀式；（盛大的）集會，宴會。4 【數學】...
  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. 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。
  3. 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。
  4. 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。
  5. 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。
  6. 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
  7. In the case of 16 boundaries, cubic b - spline function taken as trial function, the solutions to nonlinear stability of truncated conical shells and spherical shells with variable thickness were obtained by the method of point collocation

    在16種邊界條件下，以三次b樣條函數為試函數，用配點法計算變厚度開頂圓錐殼和球殼的非線性穩定。
  8. 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
  9. With cubic b - spline function taken as trial function, the solution of nonlinear stability of a revolving shallow shell with arbitrarily variable thickness was obtained by the method of point collocation in order to solve the convergence of a shallow shell with big rise

    摘要為解決計算矢高特大的扁殼的收斂問題，以三次b樣條函數為試函數，用配點法計算了任意變厚度的旋轉扁薄殼的非線性穩定。
  10. 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。
  11. 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
  12. Extending the cubic a - b - spline interpolation curves with the blending function of degree 4 ( 3 - b ), we get the interpolation curves of degree 4. the curves have not only kept the structures and properties of the cubic a - b - spline interpolation curves but also increased a shape control parameter, which expands the adjusting ranges of the curves and make the curves easier to be controlled

    利用三b四次調配函數對三次- b樣條插值曲線進行了擴展，擴展后得到的四次插值曲線在保留了三次- b樣條插值曲線的結構和性質的同時，增加了一個形狀調節參數，從而擴大了參數對曲線的調節范圍，使曲線更易於控制。
  13. For h - d data distributing over regular - grid points, a new concept " cubical matrix " " is presented, some operating rules on it are established, and a definition and expressions of tri - cubic spline function are introduced about which its unique existence theorems are proved, interpolating error is estimated, and practical algorithms to produce two kinds of boundary conditions and methods for its computation are presented

    完成的主要研究內容和成果如下：一、對規則區域上分佈的h - d數據，首次提出了立體矩陣的概念，建立了其運算規則，給出了三三次曲面的定義及表達式，證明了其存在唯一性。
  14. Because reciprocating pump has complicated structure and more exciters, so its signal is a strong non - stationary signal, and carrying out fault feature extraction and diagnosis is very difficult to it, this text mainly researches on featute extraction of reciprocating pump ’ s valve vibration signal. this text introduces hht that huang put forward, it is a kind of signal processing method that suits for dealing with the stationary signal, and suits for non - stationary signal also. although the hilbert - huang transform ( hht ) is an effective tool processing the non - stationary signal, the hht based on emperical mode decomposition ( abbreviated as emd ) algorithm which adopts the cubic spline interpolation could n ' t acquire accurate characteristics for the strong non - stationary signals in that the spline produces an accurate result only under the condition that the data consists of values of a smooth function

    本文引入了huang等人提出的hht ， hht是一種既適合於處理平穩信號也是一種適合於處理非平穩信號的信號處理方法。盡管希爾伯特-黃變換（ hht ）是處理非平穩信號的有效工具，但基於經驗模態分解（簡稱emd ）的hht由於採用三次樣條插值而不能準確提取強非平穩信號的特徵，因為三次樣條插值只有在數據由光滑函數值構成的情況下才能產生精確的結果。為了解決這個問題，本文提出了基於改進的emd演算法，即採用分段三次hermite插值多項式（ pchip ）作為極值包絡的方法。
  15. The cubic - spline function applied in design of highway horizontal alignment isn ' t convenient in practice because of no united function and its intricate calculation

    摘要三次樣條函數在公路平面線形設計中有廣泛的應用，但由於沒有統一的函數表達式且計算量大，因而在應用上不便。
  16. The experiment shows that its results are close to ones of cubic - spline function, and fit to the criterion of jtj011 - 94 requirement

    公路平面線形實例設計表明，三次埃爾米特插值函數用於公路平面線形設計中，能夠滿足路線設計規范（ jtj011 - 94 ）的要求，其設計結果與三次樣條函數設計結果接近。
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