multivariate splines 中文意思是什麼
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Some extremal properties of multivariate cardinal splines
樣條空間的極值性質 -
The interpolation of scattered data by multivariate splines is an important topic in computational geometry
利用多元樣條函數進行散亂數據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 )
本質上，解決多元樣條函數空間的插值結點的適定性問題關鍵在於研究分片代數曲線，在高維空間里就是研究分片代數簇。 -
11 gormaz r, laurent p j. some results on blossoming and multivariate b - splines. multivariate approximation : from cagd to wavelets, world sci
由於只需要求解一個帶線性約束的最小二乘問題，因此該方法具有速度快，數值穩定性好的特點。 -
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 )
分片代數曲線作為二元樣條函數的零點集合，分片代數簇作為一些多元樣條函數的公共零點集合，它們是代數幾何與計算幾何中一種新的重要概念，顯然也是經典代數曲線與代數簇的推廣。 -
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
基於上述結果，提出了h - d空間散亂數據超曲面構造二步法，第一步應用局部最小二乘法或局部徑向基函數擬合法插補立方體網格點上的函數值，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。
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