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multivariate splines中文是什么意思

  • 多元樣條函數(shù)

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  • 例句與用法
  • The interpolation of scattered data by multivariate splines is an important topic in computational geometry
    利用多元樣條函數(shù)進行散亂數(shù)據(jù)插值是計算幾何中一個非常重要的課題。
  • Essentially , a key problem on the interpolation by multivariate splines is to study the piecewise algebraic curve and the piecewise algebraic variety for n - dimensional space rn ( n > 2 )
    本質(zhì)上,解決多元樣條函數(shù)空間的插值結點的適定性問題關鍵在于研究分片代數(shù)曲線,在高維空間里就是研究分片代數(shù)簇。
  • Two - stage - fitting ( tsf ) method is obtained , which consists of evaluating the function values of regular - grid points by using local weighted least square methods or radial function interpolation , and smoothly and quickly interpolating those points by using multivariate splines . the result is a hyper - surface of c1 or c : continuity
    基于上述結果,提出了h - d空間散亂數(shù)據(jù)超曲面構造二步法,第一步應用局部最小二乘法或局部徑向基函數(shù)擬合法插補立方體網(wǎng)格點上的函數(shù)值,第二步應用多元樣條光滑快速插值計算,使所得超曲面具有c ~ 1或c ~ 2連續(xù)。
  • The significance established the system is to generalize the theories and methods of bi - cubic coons surfaces and to simplify the boundary conditions greatly which can are directly derived from the given interpolating data . hence the difficulty of determining boundary conditions of multivariate spline is overcome , which makes it use in many applications . 2
    該方法的意義是:推廣了雙三次coons曲面的理論與算法,并對邊界條件進行了簡化改進,可以直接由插值條件獲得邊界條件,從而克服了多元樣條邊界條件難以確定的困難,拓寬了應用范圍。
  • In view of the fact that the genetic algorithm of stochastic programming based on random simulated technology has succeed greatly , this paper points out that changing parameters of genetic algorithm can obtain a sequence of optimum values of goal function . taking these genetic algorithm values as sampling data , we can get fitting optimum function by using multivariate spline regression and get the lipschitzs constant of the fitting optimum function . so for any chance constrained programming problem , we can get its interval estimate
    鑒于基于隨機模擬技術的遺傳算法在求解隨機規(guī)劃問題上的優(yōu)越性,本文指出,改變遺傳算法的參數(shù)條件,在此基礎上求得機會約束規(guī)劃的若干個最優(yōu)值,以這些最優(yōu)值為樣本點,利用多元樣條回歸,擬合得到最優(yōu)值函數(shù),進而求出最優(yōu)值函數(shù)的lipschitzs常數(shù),從而對于任一機會約束規(guī)劃問題,都可以得到它的一個區(qū)間估計。
  • The piecewise algebraic curve and the piecewise algebraic variety , as the set of zeros of a bivariate spline function and the set of all common zeros of multivariate splines respectively , are new and important concepts in algebraic geometry and computational geometry . it is obvious that the piecewise algebraic curve ( variety ) is a kind of generalization of the classical algebraic curve ( variety respectively )
    分片代數(shù)曲線作為二元樣條函數(shù)的零點集合,分片代數(shù)簇作為一些多元樣條函數(shù)的公共零點集合,它們是代數(shù)幾何與計算幾何中一種新的重要概念,顯然也是經(jīng)典代數(shù)曲線與代數(shù)簇的推廣。
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