hermite interpolation 中文意思是什麼
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Quartic ph curves are studied. their contribution of cusps and inflections are discussed in this paper. a first - order hermite interpolation by quartic ph curves is obtained
文中還研究了四次ph曲線，討論了其尖點和拐點的分佈情況，得出了四次ph曲線的一階hermite插值的解。 -
8 guo b. quadric and cubic bitetrahedral patches. the visual computer, 1995, 11 : 253 - 262. 9 wang w, qin k. on the existence and computation of rational quartic spherical curves for hermite interpolation
關于參數插值曲面構造的研究綜述一般是先在每三角剖分面上構造邊界曲線，而後再用一片或多片插值曲面去填充這些曲線網格。 -
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。 -
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。 -
Hermite three point interpolation under the first boundary condition
準自然邊界條件下的三次樣條插指函數 -
In this paper, more stronger estimations of bounds for the fundamental functions of hermite interpolation of higher order on an arbitrary system of nodes on infinite intervals are given
本文主要研究基於無限區間上的任意結點系的高階hermite插值，給出了基本多項式的界的估計的更強的結果，即文中的基本定理。 -
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。 -
In the first chapter, we list some known results of hermite interpolation of higher order and gaussian quadrature formulas as its simple survey and introduction
第一章介紹高階hermite插值和gauss求積公式的收斂性的已有結果，引入記號和定義。 -
Firstly explicit algorithm is found that give the unique cubic ph that solves a geometric hermite interpolation problem
首先本文給出了三次ph曲線g ~ 1hermite插值問題的演算法，這個演算法是用復數形式表示的，使插值公式比較簡單。 -
The intermediate vertex positions are computed dynamically using interpolation schemes such as linear, hermite curve, etc
中間的頂點位置使用插值方法動態計算決定。 -
But, though considerable process has been made in the last ten years, digital watermarking is still in its infancy, and much interesting work remains to be done this thesis addresses some problems in the gray - scale image digital watermarking that are summarized below : 1 ) whereas the basic theory of digital watermarking is still very poor, a digital watermarking mathematic model based on imperceptibility and robustness is presented by analysising the characteristic of digital watermarking ; 2 ) based on the model constructed above, by defining the measures of capacity and robustness of digital watermarking, an objective method for evaluating the digital watermarking is introduced and used to analysis some algorithms ; 3 ) whereas geometric distortion always influences the restoration of watermark, we advocate to enhance the robustness against geometric distortion by restoring the image which has been distorted by geometric transformation, and a method is designed for estimating the parameters of geometric transformation ; 4 ) based on the conclusion discussed above, and combined with the masking effects of hvs, a novel public meaningful gray - scale image digital watermarking is designed by analysising the characteristics of image gray - scale interpolation and haar wavelet transformation. the experimental results show that the method is indeed powerful ; 5 ) whereas many image digital watermarking schemes, which embed watermark by modifying the values of pixels in spatial domain and transformed domain, are confronted with the conflict between the imperceptibility and robustness, we advocated to use some stable digital characteristics of host image as watermark and a algorithm based on hermite matrix is designed
本文重點對灰度圖象數字水印技術進行研究，主要工作如下： 1 ）鑒于目前數字水印的理論研究比較薄弱的現狀，本文通過分析數字水印的特點，建立了一個數字水印的數學模型，為進一步研究數字水印打下了基礎； 2 ）根據以上建立的模型，通過引入容量和穩健度的概念為數字水印提供了一個客觀評價方法，並對一些數字水印演算法進行了分析； 3 ）為增強數字水印抵抗幾何攻擊的能力，研究了受幾何攻擊的圖象的復原問題，並給出了一個計算圖象幾何變換參數的方法； 4 ）通過分析圖象灰度插值演算法和haar小波變換的特點，結合hvs的掩蔽效應，設計了一個公開的有意義數字水印演算法，實驗結果表明本演算法具有較強的穩健性； 5 ）目前許多水印演算法都是通過在空域或頻域修改象素值的方法嵌入水印的，這種方法面臨著透明性和穩健性的矛盾，為解決這個矛盾，本文提出以圖象的某些穩定的數字特徵為水印的觀點，並結合hermite矩陣的特點設計了相應的水印演算法，實驗結果表明該演算法具有較好的穩健性。 -
12 gao x, li m. construct piecewise hermite interpolation surface with blending methods. in proc. geometric modeling and processing : theory and applications, h. suzuki and r. martin eds.,
這是一種生成約束曲面的一般性方法，我們可以用它來把一個多邊形模型轉化成參數曲面，對3d物體進行形變，構造blending曲面及補n邊洞等。 -
In the second chapter, we study a basic theorem of estimations for the fundamental functions of hermite interpolation of higher order on infinite intervals
第二章研究了無限區間上高階hermite插值基本多項式的界的估計的基本定理。 -
A property on hermite - fej r type interpolation of higher order
型內插的一個性質 -
Although hermite interpolation works well in most cases, there are still some problems existing
盡管埃爾米特插值方法在大多情況下十分有效，可仍存在著一些問題。 -
There are two lines of study for the hermite interpolation : the special system of nodes and an arbitrary system of nodes
研究hermite插值有兩條路線：特殊節點組和一般節點組。 -
Furthermore, we establish some results on the mixed legendre - hermite interpolation in certain non - isotropic sobolev space. they are the theoretical foundation of the mixed legendre - hermite pseu - dospectral method
在此基礎上，我們建立了無窮帶狀區域中熱傳導方程的譜方法，證明了該方法的收斂性。 -
In this paper, we focus on the plate bending problem. a theorem about the anistropic interpolation is proved which is easier to be applied than apel ' s. based on the theorem, it is proved that the bicubic hermite rectangular element and the acm element have the anistropic interpolation property
應用給出的比apel的定理易於操作的各向異性插值定理，驗證了用於板彎曲問題的協調元雙三次hermite矩形元和非協調元acm元具有各向異性插值特徵。
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