cubic spline interpolation 中文意思是什麼

cubic spline interpolation 解釋
三次樣條插值/三次樣條內插
  • 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。
  • interpolation : 補入
  1. The convergence of cubic spline interpolation

    三次樣條插值的收斂性
  2. 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。
  3. 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。
  4. 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。
  5. 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。
  6. 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。
  7. 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。
  8. 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。
  9. 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。
  10. Several key techniques of carving and milling machine cnc system are deeply studied they include : the transformation, data rebuild and interface design of huge volume nc program produced by cam ; the algorithm of cubic parametric spline pre _ interpolation and high speed real time interpolation in the cnc system, which. will gain a much higher surface precision and cutting speed ; methodology and algorithm of movement velocity acceleration control on a real time forecast _ and _ prejudge basis is designed. therefore, a smooth movement is insured. the shake and noise problem caused by non _ uniform pules for driving stepping or servo motor is solved by an improving algorithm to generate uniform pules

    同時，本文對基於統一的pc平臺的雕銑機數控系統中的幾項關鍵技術進行了深入的研究，包括： cam生成加工程序的傳送、接收、讀取及其加工鏈表的生成和實時重構；對cam生成的離散數據進行三次參數樣條插值和基於累加弦長的三次參數樣條插補控制，保證加工工件表面的精度和光順性；設計具有「前瞻」功能的自動升降速控制方法，保證加工過程的平穩性；通過脈沖均勻化，有效地解決加工過程中因為脈沖不均勻而引起的震動問題。
  11. Numerical stability of interpolation functions of cubic periodic spline

    三次周期樣條插值函數的數值穩定性
  12. 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
  13. But when these methods are applied to evaluation of interest rate swap option, interest rate cap, interest rate floor, forward rate agreement, both the cubic interpolation and the spline interpolation are superior to the linear interpolation, but the cubic interpolation and the spline interpolation are almost same

    當三種期限結構估測方法應用於利率互換期權、利率上限期權、利率下限期權、遠期利率定價時，立方插值法和三次樣條插值法盡管都優于線性插值法，但是它們之間卻沒有優劣之分。
  14. As further expansion of the cubic a - b - spline interpolation curves, in order to raise the continuity of the curves even, the author has defined the blending functions of corresponding degrees, constructed the adjustable interpolation curves of degree 5 and degree 6 with polynomial blending functions of degree 5 ( 3 - b ) and degree 6 ( 3 - b ) respectively. they are c3 and c4 continuous separately

    作為三次- b樣條插值曲線的進一步擴展，也為了提高插值曲線的連續性，作者定義了相應次數的奇異調配函數，同時利用三b五次、三b六次調配函數分別構造了五次和六次參數可調的插值曲線，它們分別是c ~ 3和c ~ 4連續的。
  15. 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。
  16. Valuing these irdp rationally and precisely has been increasingly important. based on the research of foreign scholars. this paper studies three methods of term structure estimation ( linear interpolation, spline interpolation, cubic interpolation ) proceeding from methods of term structure estimation about yield curve that affect the valuation of irdp

    本碩士論文在綜合國外學者研究成果的基礎上，主要從影響利率衍生產品估價的期限結構估測方法出發，具體詳細地研究了三種利率期限結構估測方法（線性插值法、三次樣條插值法、立方插值法）及其在利率衍生產品定價中的應用。
  17. 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。
  18. It is also pointed out that these curves are devoid of split property possessed by nurbs curves in euclidean spaces. at the same time, a knot insertion algorithm is also given for the nurbs curves on sphere, then interpolation for curves on sphere is presented by spherical quadratic and cubic uniform b - spline

    並且討論了這種曲線的若干性質，有類似於歐氏空間中的性質，還指出其不具有類似於歐氏空間中的nurbs曲線的分裂性質，同時給出球面nurbs曲線的插入節點演算法。
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