連分式 的英文怎麼說
中文拼音 [liánfēnshì]
連分式
英文
continued fraction-
The term "continuant" arises from a relation between this type of determinant and continued fractions.
「連行列式」這一名稱來自於這種類型的行列式與連分式的相互關系。Continued fractions and linear recurring sequence synthesis over galois rings
環上的連分式與線性遞歸序列綜合Convergence criteria for vector valued continued fractions based on samelson inverse
逆的向量值連分式的收斂準則A kind of accelerating convergence factors for limit periodic continued fraction
一類極限循環連分式的加速收斂因子Continued fraction approximation
連分式逼近Continued fraction expansion
連分式展開式Application of continued fraction approximation method to slope probabilistic analysis
函數連分式漸近法在斜坡穩定性概率評價中的應用( vector valued ) continued fractions are adopted for the first time to process digital images
本文首次將（向量值）連分式方法用於數字圖像處理領域。This algorithm avoid using branched continued fractions. finally, its validity and flexibility are demonstrated by some examples
所得演算法的特點是避免了使用分叉連分式，最後用數值例子說明了這種演算法的有效性和靈活性。Continuous counterflow rinsing and on - line grading wasterwater treatment
連續式逆流漂洗與在線分級廢水治理Specification for continuous mechanical handling equipment - safety requirements - unit loads : live roller conveyors with positive or friction drive
連續式機械裝卸設備規范.安全性要求.第14部分:成組貨件Specification for continuous mechanical handling equipment - safety requirements - loose bulk materials : hand - operated power shovels
連續式機械裝卸設備規范.安全性要求.第8部分:鬆散物料:手動機械鏟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演算法的基本公式，並對ffd演算法中的有限差分運算元進行了系數優化，進一步提高了計算的有效性。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、數學形態學等，非線性方法已引起越來越多研究者的重視。作為研究非線性數值問題的首選方法?連分式方法，不僅能反映數據的漸變性，也能反映數據的突變性。鑒于這些原因，本文將連分式插值和逼近引入到數字圖像處理領域，開展了圖像插值、圖像重建等方面的研究。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點集，構造連分式插值函數過程中出現逆差商為無窮大的情況，給出了合理的解決辦法，提出了重新調整插值節點集的節點順序、構造thiele - newton型混合有理的插值方法。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
基於一元（向量）連分式形式的有理分式已應用於其它工程領域，但基於矩形網格和三角網格上的混合有理插值在數字圖像處理領域目前還沒看到這方面的報道。A method of image zooming based on one - variable vector valued rational interpolation
型向量連分式插值的彩色圖像放大方法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
而本文的方法是基於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 section two, the algorithms of vector - valued rational interpolants are stated generally. then a new algorithm of brivate vector - valued rational interpolants by means of complexification of the knots and backward three - term recurrence relations is given
然後利用插值型值點復數化的方法及向量值連分式的向後三項遞推關系式討論並給出了二元向量值有理插值的一種新演算法。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。最後，本文的結尾，給出連分式應用於二維物體漸變的實驗過程和結果，並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。分享友人