continue fraction

"continue fraction"的翻譯和解釋

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例句與用法

Though the rational fractions based on one - variable ( vector valued ) continued fractions have been used in other engineering fields , its application in the field of digital image processing has n ' t yet been reported in the literature so far . 2
基于一元(向量)連分式形式的有理分式已應用于其它工程領域，但基于矩形網(wǎng)格和三角網(wǎng)格上的混合有理插值在數(shù)字圖像處理領域目前還沒看到這方面的報道。
In the thesis , the fundamental formula of ffd method derives from the square root that is approximated by a continued fraction expansion in the one - way wave equation . optimizations of the parameters of the finite - difference operator improve the validity of the method
本論文用連分式近似單程波波動方程中的平方根導出ffd算法的基本公式，并對ffd算法中的有限差分算子進行了系數(shù)優(yōu)化，進一步提高了計算的有效性。
Our algorithm significantly outperforms the classical bilinear and bicubic interpolation methods in terms of edge sharpness and artifact reduction . 4 . the applications of the continued fractions are extended , which will further push forward the study of the continued fractions
而本文的方法是基于用非線性方法進行邊緣處理，該方法將newton線性插值方法和連分式有理插值方法進行有機的結合，提高了圖像的插值速度和效果。
In chapter 3 , the degree - preserving polynomials on r ~ ( 2 ) are discussed . with aid of computer algebraic systems , conditions are given to classify polynomials which are degree - preserved . in chapter 4 , the dynamical system in continued fractions , modeled by iteration , and related results on periodicity and chaos are summarized
在本文的第四章中綜述了連分數(shù)中的動力系統(tǒng)的一些成果，連分數(shù)通過迭代可化為一個動力系統(tǒng)模型，通過對該模型的研究，可以進一步認識迭代的復雜性，尤其是蘊藏在其中的周期行為和混沌。
In recent years , nonlinear methods have attracted more and more attention and there have been some successful cases , such as median filter , mathematical morphology , etc . as a preferred way to inverstigate nonlinear numerical problems , the continued fractions method can effectively express the gradually changing data or abrupt data , so it is meaningful to study image processing by means of the continued fractions theory and algorithms
近年來在圖像處理領域，利用非線性方法進行圖像處理取得較好效果的有中值濾波、數(shù)學形態(tài)學等，非線性方法已引起越來越多研究者的重視。作為研究非線性數(shù)值問題的首選方法?連分式方法，不僅能反映數(shù)據(jù)的漸變性，也能反映數(shù)據(jù)的突變性。鑒于這些原因，本文將連分式插值和逼近引入到數(shù)字圖像處理領域，開展了圖像插值、圖像重建等方面的研究。
And in this part , the algorithm of polygons is emphasized . the second part is focused on image morphing . after expatiating its principal algorithms and mature methods , a method among multiple images is presented and analysed in detail . second , in the second chapter of this thesis , the basic theories and methods are systematically discussed , especially thiele continued fractions , because it is the main interpolation tool in the experiments . and finally , the processes and results of experiments in the application of continued fractions to 2d object metamorphosis are given , and detailed analyzing and discussing are made . the experiments show that the results are good . this demonstrates that it is successful for continued fractions to be applied in the processes of 2d object metamorphosis
其次，在本文的第二章，系統(tǒng)地論述了連分式的基本原理和應用方法，尤其是對thiele型連分式插值函數(shù)作了具體的討論，因為，它是在實驗中所用到的主要的插值工具。最后，本文的結尾，給出連分式應用于二維物體漸變的實驗過程和結果，并對其進行了仔細的分析和討論。實驗表明，把連分式用在二維物體的漸變過程中，取得了不錯的效果，是成功的。
With the review of digital image properties and continued fractions theory , this dissertation focuses on the study of the image interpolation and image reconstruction ; the main contributions are as fallows : first of all , the methods of solving the problem of inverse difference being infinite are successfully found while constructing the thiele - type continued fractions . in this case it is proposed to reorder the set of interpolating points and then construct a thiele - newton blending continued fraction
本文的主要工作可歸納如下：首先，在以圖像像素為插值節(jié)點集，構造連分式插值函數(shù)過程中出現(xiàn)逆差商為無窮大的情況，給出了合理的解決辦法，提出了重新調(diào)整插值節(jié)點集的節(jié)點順序、構造thiele - newton型混合有理的插值方法。
There are a lot of methods of 2d object metamorphosis . the current algorithms have advantages and disadvantages . whether the shape morphing algorithms or image morphing algorithms are concerned , most of them deal with the morphing between two objects . in this thesis , an algorithm of the morphing among multiple 2d objects is presented with the aid of theory of continued fractions
二維物體漸變技術實現(xiàn)方法多種多樣，目前提出的算法各有優(yōu)缺點，無論是形狀漸變算法，還是圖象漸變算法，它們中的大多數(shù)都是處理兩個物體之間的漸變。在本文中，利用連分式理論，提出了一種在多個二維物體之間進行漸變的算法。
In this thesis , a semi - classical model of the force on an atom is used to describe the motion of a two - level atom interacting with a standing wave laser field . the velocity dependent force and momentum diffusion are derived through optical bloch equations by using the matrix form of the continued fraction technique . by investigating the dynamic properties of atoms in laser field , we can control and manipulate the mechanical motion of an atom
本文利用半經(jīng)典理論，從二能級原子在激光駐波場中所滿足的運動方程出發(fā)，推導出密度矩陣元所滿足的遞推關系，利用矩陣連分數(shù)方法求解出密度矩陣元，從而求出依賴于原子運動速度的光壓力與動量擴散系數(shù)，通過討論原子在激光場中的動力學行為，為原子在激光場中被囚禁、形成原子列陣以及可控制的量子態(tài)，從而為量子信息處理提供理論基礎。