有理插值函數 的英文怎麼說
中文拼音 [yǒulǐchāzhíhánshǔ]
有理插值函數
英文
rational interpolating function- 有 : 有副詞[書面語] (表示整數之外再加零數): 30 有 5 thirty-five; 10 有 5年 fifteen years
- 理 : Ⅰ名詞1 (物質組織的條紋) texture; grain (in wood skin etc ) 2 (道理;事理) reason; logic; tru...
- 插 : 動詞1. (把細長或薄的東西放進、擠入、刺進或穿入; 插上; 插進) stick in; insert 2. (中間加進去; 加進中間去) interpose; insert
- 函 : 名詞1. [書面語] (匣; 封套) case; envelope 2. (信件) letter 3. (姓氏) a surname
- 數 : 數副詞(屢次) frequently; repeatedly
- 有理 : 1 (有道理) reasonable; justified; in the right 2 [數學] rational; 有理函數 rational function; ...
- 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
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Interpolating surface based on rational blending function
一類基於有理混合函數的插值曲面A new osculatory rational interpolation kernel function is established, which is different from the classical linear interpolation kernel functions. generally, it is a more accurate approximation for the ideal interpolation function than other linear polynomial interpolants functions. simulation results are also presented to demonstrate the superior performance of this new interpolation kernel function
本文構造了一個全新的圖像插值核函數?自適應切觸有理插值核函數,同現有的線性插值核函數相比,其空域特性和頻域特性均最接近合肥工業大學博士論文理想插值核函數sinc函數。Secondly, a new adaptive osculatory rational interpolation kernel function is constructed from the point of approximating the ideal interpolating function, the function ' s characteristics, i. e., the space properties, the spectral properties, and the efficiency are analyzed, and the comparision it with other interpolation methods is made
然後,在圖像采樣和圖像重建理論的基礎上,基於逼近理想插值核函數的思想,構造了一種自適應切觸有理插值函數,對其空域和頻域的性能進行了分析,並與傳統的圖像插值核函數進行了比較。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。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。Besides, the gauss interpolation function and the domain of support which includes much more nodal information than finite element method does is used to make meshless method much more earlier solve the large deformation and distortion and describe the local characteristic ( such as stress locality et al. ) more facilely
並由於在無網格法中採用了高次插值函數和包含有較多節點的支持域(在有限元法中的支持域只包含單元節點) ,從而使得無網格法能方便地處理變形畸變和應力應變局部化等問題。With the review of digital image properties and continued fractions theory, this dissertation focuses on the study of the image interpolation and image reconstruction ; the main contributions are as fallows : first of all, the methods of solving the problem of inverse difference being infinite are successfully found while constructing the thiele - type continued fractions. in this case it is proposed to reorder the set of interpolating points and then construct a thiele - newton blending continued fraction
本文的主要工作可歸納如下:首先,在以圖像像素為插值節點集,構造連分式插值函數過程中出現逆差商為無窮大的情況,給出了合理的解決辦法,提出了重新調整插值節點集的節點順序、構造thiele - newton型混合有理的插值方法。A kind of degree - reduction algorithm for rational interpolation
有理函數插值的一種降介演算法The computational expressions of rational shape functions are shown
給出了多邊形上有理函數插值形函數的計算表達式。Thirdly, the effects on the cv rational interpolating splines from the perturbation of the two boundary conditions are analyzed. from this the error bounds of first and second derivatives of cv rational interpolating spline are given
然後,分析了兩類端點條件的擾動對cv有理插值樣條函數的影響,給出了它們在非均勻節點處的一階和二階導數值的誤差界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A smoothing technique is combined with optimum approximation and finite element piece - wise interpolation in the method, it can simultaneously process measured vector components, imp ro ve smoothing capability of solution, space composed of original discrete points and increase the accuracy of the solution, especialy its derivatives
該方法結合最佳逼近、有限元分片插值與光順技巧,對測量向量各獨立分量進行處理,改善了原離散點構成的解空間的光滑性,提高了解尤其是導數場的精度,在測量區域內再現了光順向量函數及連續的導數。An alternate proof about its existence and uniqueness and its explicit represention are given, especially the rational interpolation formulas for simple konts and double konts, and the algorithm complexity in case of double konts is improved from o ( n ~ 2 ) to o ( n )
首先,介紹了cv ( cauchy - vandermonde )有理函數插值公式,給出了cv有理函數空間上插值問題解的存在唯一性定理的另一種簡單證明和顯式表示The extension of bivariate thiele type vector valued rational interpolants
一種求二元有理插值函數的方法Two classes of bivariate rational interpolation function on rectangular grids
矩形網格上兩類二元有理插值函數Method for the determination of bivariate vector - valued rational interpolants
一種求二元向量有理插值函數的方法The interpolating wavelet bases are constructed in order to deal with boundary conditions conveniently at first. then the wavelet bases of duality in product form are used to construct the generalized field functions of beam, plate and shell. the model of multivariable wavelet fem is built by hellingger - reissner and hu - washizu generalized variational principle
首先構造了便於邊界條件處理的插值小波基,應用乘積型二元插值小波基來構造梁、板、殼的廣義變量場函數,通過二類、三類變量廣義變分原理建立了多變量小波有限元模型。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。Lastly, the cv rational interpolating splines above are extended to the case of two variables. their existence and uniqueness are proved for two usually boundary conditions as well. the cv rational interpolating splines of two variables are represented as tensor product from of the case of simple variable
最後,定義了二元cv有理插值樣條函數,就兩類邊界條件證明了其存在唯一性,並建立了它的表達式,給出了廣義deboor演算法The error bounds of first and second partial derivatives for the two - dimension rational splines produced by the error of boundary conditions are estimated
討論邊界條件對二元cv有理插值樣條函數的影響,分別建立了兩類邊界值所控制的估計式分享友人