插值多項式 的英文怎麼說
中文拼音 [chāzhíduōxiàngshì]
插值多項式
英文
interpolation polynomial-
Interpolating with generalized - polynomial and its optimizing
多項式插值與優化The divergence of lagrange interpolation at newman - type nodes
插值多項式的發散性In order to obtain a high - quality speech codec, the phase information of speech should be included in codec. in this thesis, a method for quantizing the phase of sew ( slowly evolving waveform ) and reconstructing sew ’ s phase with cubic polynomial interpolation is given based on the perceptual weighting analysis - by - synthesis ( a - b - s ) vector quantizer for the phase spectrum in wi coder
本文基於感覺加權相位譜分析合成( abs - analysis - by - synthesis )矢量量化方法,給出了一種wi編碼器中慢漸變波形( sew - slowlyevolvingwaveform )的相位信息量化及合成端相位的三次多項式插值重建方法。In theory of approximations, the classic methods of polynomial approximation for rational expression are various interpolations and operator approximations, such as lagrange interpolation, hermite interpolation and bernstein polynomial approximation
在逼近論中,用多項式逼近有理式的經典的方法是各種插值與運算元逼近方法,如lagrange插值、 hermite插值和bernstein多項式逼近等。Convergence order of double variate combination trigonometric interpolation polynomials
二元組合型三角插值多項式的收斂階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。A linear combination of lagrange interpolation polynomial
插值多項式的線性組合In the terms of interpolation, the image reconstructed from nearest interpolation or linear interpolation has good edge but serious noise ; reconstruction from 4 * 4cubic interpolation or three b - spline or three - order lagrange interpolations has better local character. 2 x 2cubic interpolations which has both better edge and local character is the ideal interpolation, the following is the basic principle during reconstruction : ( 1 ) the more width of interpolation, the more number of summation and the more order of interpolation polynomial, the higher of density resolution ; ( 2 ) the more of interpolation polynomial and width of interpolation, the more of reconstruction time simultaneously, aimed at eliminating the effects of noise contained in projection data, in this paper, author analysis cause and effects of common artifacts. importantly, discusses convolution back - projection reconstruction algorithm with a shift axis of rotation has been derived for correcting images that acquired with a divergence axis of rotation using the fan beam geometry with an angle - equaled detector
在ct圖像重建時,選擇有限帶寬窗有較好的空間解析度,三角形窗有較好的密度解析度,選擇餘弦窗則使得空間解析度與密度解析度的折衷;從窗函數的頻譜角度來講,可以用於圖像重建的一個良好的卷積窗函數應該具備以下條件: ( ? )小的3db帶寬b ,即最小的主瓣寬度; ( ? )最小的旁瓣最大峰值a ; ( ? )最大的旁瓣峰值衰減速度d ;就內插函數而言,臨近點內插與線性內插重建圖像噪聲大,但有較好的邊緣與細節; 4 4三次內插、三次b -樣條與四次拉格朗日多項式內插圖像平滑,局部特性較好。Secondly, we introduce the recurrence definition of the non - uniform algebraic - hyperbolic b - spline basis using divided differences and the de boor - fix recurrence definition on polynomial functions, and based on the new forms, algebraic - hyperbolic b - spline curves are obtained. they share most of the properties as those of the b - spline curves in the polynomial space. we focus on deducing the calculating and knot inserting formulae for this new kind of curves and then prove that they have the variation diminishing properties
二、利用廣義差商,基於多項式b樣條的deboor - fix遞推定義,給出了任意階非均勻代數雙曲b樣條的遞推定義,由此構造麯線,證明它的幾何不變性、仿射不變性、凸包性、 v . d .性等,重點給出了非均勻代數雙曲b樣條曲線的遞歸求值和節點插入演算法,演算法簡單且穩定,便於在計算機上實現Based on the idea of subordinate meshes, we bring forward a new method of weighted volume which is used for constructing linear interpolation polynomials. besides, according to the eno interpolation on unstructured grids, a class of linear interpolation polynomial is developed on irregular quadrilateral grids and allows very small oscillation. program in fortran is given for a remapping algorithm developed by caiqingdong
另外,根據非結構網格的eno插值的思想,構造了四邊形網格網眼內的線性插值多項式,由於利用其插值點自適應選取的特性,在物理量變化劇烈區域選取最光滑區域的點來插值,雖然不能保持單調性,但只允許出現非常小的振蕩。The convergence of interpolation polynomials based on unit roots
基於單位根上插值多項式的收斂性Estimation of approximation order of lagrange interpolation polynomial after revised
插值多項式的收斂階的估計The trigonometric interpolation polynomials ' simultaneous approximation of functions and their derivatives
三角插值多項式對函數及其導數的同時逼近We discuss the connection between the accuracy of approximate matrix and the degree of interpolating polynomials and study the method of estimating the accuracy of the numerical solution
我們討論了近似矩陣的精度與插值多項式的階數的關系,討論了近似解的精度的估計方法。First of all, with thrice hermite interpolation to element displacement, the control equation of dynamics is derived in space - time domain. two groups of space - time finite element formulae solving displacement and velocity are obtained
作者首先對單元位移採用時域上三次hermite插值多項式,在空間域和時間域中聯合離散控制方程,分別推導出了動力學問題的兩組遞推公式,以求解位移和速度。The errors in calculating derivatives for the gll collocation points are evaluated, which can be alleviated from o ( ( n4 ) to o ( ( n2 ) by the double - precision method proposed in the present paper, where ( denotes the machine precision and n the order of the interpolation polynomials in the elements
文中對gll配置點下的求導誤差進行了分析,提出的雙精度方法可以將求導誤差從o ( ( n4 )減小到o ( ( n2 ) ,其中(為機器精度, n為單元內插值多項式階數。By use of eno interpolating polynomials on unstructured grids, a high accurate finite volume scheme has been constructed through combining the idea of constructing of high order accurate finite volume schemes on structured grids. iii ) constructing of a new kind of high order accurate conservative remapping algorithm. it is based on the technique transferring physical quantities between the two computational meshes, known as remapping
( 2 )基於非結構網格的lagrange坐標系下的有限體積格式構造:使用非結構網格下的eno插值多項式,結合結構網格高精度格式構造的思想,構造得到了非結構網格下的高精度有限體積格式。A kind of operator of trigonometric interpolation polynomials with bivariate product was constructed based on an equidistant node set, so that the operator could be converged uniformly to bivariate continuous functions with periodicity of 27 on whole plane, and the convergence order of the approximation would be optimal for a body of functions with arbitrary - ordered continuous partial deritives
摘要構造了一類基於等距結點組上的二元三角插值多項式運算元,使得該運算元在全平面上一致收斂到每個以2為周期的二元連續函數,並且對具有任意階連續偏導數的函數全體的逼近具有最佳收斂階。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。In this method, the interpolation polynomial is related to several cells nearby, so the body surface is smooth, the potential function and its derivative is uninterrupted on the whole surface. moreover, because the interpolation based on b - spline is very accurate, it can enhance the efficiency of calculation and make a good numerical result by coarse gridding
在這種基於b樣條的面元法中,由於插值多項式涉及附近的幾個單元,而不像一般的面元法只限制在一個單元內,因此物體表面是光滑的,速度勢函數及其導數由於採用樣條函數表達,在整個物體表面也是連續的。分享友人