interpolating property 中文意思是什麼

interpolating property 解釋
插入性質
  • interpolating : 內插
  • property : n. 1. 財產；資產；所有物；所有地，地產；所有，所有權。2. 性質，特徵，屬性，特性；【邏輯學】非本質特性。3. 〈pl. 〉 【戲劇】道具；〈英國〉服裝。
  1. So we present a new method of subdivision surface modeling. this method not only maintains the intrinsic property of catmull - clark subdivision surface, but also makes this kind of surface have a new function of interpolating multi - predefined b - spline curves. it overcomes some limitation of catmull - clark subdivision scheme and widens its application range, which brings subdivision surfaces from animation design and artistic modeling to mechanical products design

    因此，作者給出了一類新的細分曲面造型方法，該方法保持了catmull - clark細分曲面的原功能，但增加了插值若干條已知b樣條曲線的新功能，克服了catmull - clark細分方法的局限，拓寬了catmull - clark細分方法的應用范圍，為細分曲面從動畫製作和藝術造型走向機械產品設計的應用闖出了新路。
  2. The constructed surface is c2 continuous on the whole domain, and is a piecewise cubic parametric polynomial on every subdomains. the interpolating surface can preserve the convexity, concavity, inflection property and monotonicity of the data set. in the end, each algorithm brought forward in the paper is exemplified, at the same time, error is discussed

    3針對保形曲面插值問題，提出了一種插值于給定數據點集的參數型保形曲面插值演算法，所構造的曲面在整個區域上是c ~ 2連續的，在每個子區域上是分片三次參數多項式，並且保持被插函數集的所有子區域的邊界及其內部的軸向單調性、凸凹性以及拐點性質。
  3. They have a number of desirable properties not possessed by wavelets of daubechies type, namely : they have symmetry property ; the scaling function and physical space representation are identical ; expansion coefficients are easily computed ; in certain respects they are more accurate ; the functions ( but not their derivatives ) can be computed without solving an eigenproblem. the price to be paid for these advantages is the loss of orthogonality, interpolating wavelets are only biorthogonal

    本文主要的研究成果是把一維的某些結論推廣到高維，分為以下四個方面： （ 1 ）使用二元拉格朗日插值法構造二元尺度函數和小波函數，使其具有緊支性、對稱性以及函數展開式的系數易於計算等優點。唯一的缺陷是缺乏正交性。
  4. Important missing aspects are : turbulent flow, numerical discretization techniques specially the relevant and difficult topic of numerical treatment of advection and related numerical methods of solution, variable property fluids, boundary layers, stability, etc. rather, it focuses on more primitive and fundamental issues of numerical treatment of advective equation and proper formulation of initial boundary value ( ib vp ). numerical problems associated with advective dominated transport include spurious oscillation, numerical dispersion, peak clipping, and grid oriention. however, the key of numerical solution of three - dimensional advective problem is searching for a high - precision interpolating function, which can keep the computational stability and low damping

    3 、針對三維純對流方程提出了實用的擬協調單元模式，並與線性插值模式和協調單元模式比較后表明，在物理量大梯度變化的情況下，線性插值模式會產生較大的數值阻尼，導致解的失真；協調單元模式具有極高的計算精度和良好的計算穩定性，還可較好地克服數值阻尼，但由於計及物理量的二階導數項，計算工作量大，邊界條件給定尚存在一定的困難；而擬協調單元模式不僅具有協調單元模式計算精度高的優點，還避免了物理量的二階導數項，可大大地減少計算工作量。
  5. Design of prefilter of multiwavelets was discussed. for the prefilter designed by xia with interpolating property of ghm multiwavelet, a modified interpolating prefilter was presented

    針對于xia等基於ghm多小波的插值特性而設計的預濾波器，我們給出了一個改進的插值預濾波器。
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