項式曲線 的英文怎麼說

中文拼音 [xiàngshìqūxiàn]
項式曲線 英文
polynomial curves
  • 項 : Ⅰ名詞1 （頸的後部） nape （of the neck） 2 （款項） sum （of money） 3 [數學] （不用加、減號連接...
  • 式 : 名詞1 （樣式） type; style 2 （格式） pattern; form 3 （儀式; 典禮） ceremony; ritual 4 （自然科...
  • 曲 : 曲名詞1 （一種韻文形式） qu a type of verse for singing which emerged in the southern song and ji...
  • 線 : 名詞1 （用絲、棉、金屬等製成的細長的東西） thread; string; wire 2 [數學] （一個點任意移動所構成的...
  • 曲線 : [數學] curve; bight; bought; profile; net曲線板 french curve; irregular curve; curve board; splin...
  1. They not only inherit the advantages of bezier curves and b - spline curves, also can be used to represent straight lines precisely and some remarkable transcendental curves precisely, such as circular arc, ellipse, cardioids and twisted pair line etc. especially, the uniform t - b - spline curve of three degrees is smoother than b - spline curve and c - b - spline curve of the same order

    此外由於它們還具有三角函數的優點，故既可以精確表示直線段、二次多項式曲線段又可以精確表示圓弧、橢圓弧等二次曲線以及心臟線、雙紐線等超越曲線。特別地， 3次均勻t - b樣條曲線曲面比同階均勻b樣條（ c - b樣條）曲線曲面具有更高的光滑度。
  2. Therefore rath may be used as an exploratory tool to test a given equation has solutions of the assumed form

    因此rath可作為一個測試非線性演化方程是否擁有雙曲正切多項式形式的孤波解的有效實用的工具。
  3. Firstly, we generalize and analyze the advantages and present research of elliptic curve cryptography ; secondly, we study the basic theory of the ecc ; thirdly, we illustrate the safety of the ecc and discuss the elliptic curve key agreement scheme, elliptic curve encryption scheme and elliptic curve digital signature algorithm ; fourthly, we study fast algorithms of the multiplication and inversion multiplication of the element of in the underlying finite field f2m whose characteristic is two represented by the two basis of optimal normal basis and polynomial basis. we make improvements to the fast algorithm of the polynomial basis multiplication by hankerson and base on the experiments, we describe the properties and compare the advantages of the multiplication and inversion multiplication of the elements in f2m field under optimal normal bases and polynomial basis. results concluding from the study car be used as references in the realization of the elliptic curve cryptosystem ; fifthly, we overview the current fast algorithm of point multiplication, improve the fix base point comb algorithm, advance the speed of the whole system and remark the advantages and disadvantages of the popular algorithms based upon the experimental datas ; sixthly we realize the algorithm library of elliptic curve cryptography based on the f2m. only change slightly in our algorithm library can we realize the ecdh, eces, ecdsa based onf2m of anysize ; seventhly, we realize the ecc on two secure elliptic curves, including ecdh, eces, ecdsa

    本文首先介紹並分析了橢圓曲線密碼體制的優點及研究現狀；其次研究了橢圓曲線密碼體制的基本理論；第三，分析了橢圓曲線密碼的安全性並介紹了密鑰共享，加密，數字簽名等橢圓曲線密碼體制；第四，深入研究了特徵為2的有限域f _ 2m中的元素在多項式基和最優正規基表示下的乘法運算和乘法逆運算的快速演算法，並對hankerson等人提出的多項式基下的乘法運算的快速演算法作了改進，而且在實驗的基礎上不僅分析研究了f _ 2m域中元素在多項式基和最優正規基表示下的乘法和乘法逆運算的性能，還對這兩種基表示下的f _ 2m域中元素運算效率的優劣作了比較和研究，所得的結論可供在實現橢圓曲線密碼體制時參考；第五，研究了目前流行的計算橢圓曲線標量乘法的快速演算法，同時改進了固定基點梳形法，提高了整個系統的速度，並在實驗的基礎上分析研究了流行演算法的優劣；第六，實現了基於f _ 2m的橢圓曲線密碼體制的演算法庫，在我們的演算法庫中只需稍微改變便能實現基於任意尺寸的f _ 2m上的ecdh ， eces ， ecdsa等橢圓曲線密碼體制；第七，實現了兩條安全橢圓曲線上的橢圓曲線密碼體制，包括ecdh ， eces ， ecdsa 。
  4. ( 4 ) we prove that shapes of ellipses obtained from the leading binomial of [ p are independent of the decomposing methods, and two ellipse equations removing their constants satisfy the same relation of transformation as two [ p curves under the perspective transformation

    （ 4 ）證明了隱含多項式分解的首二次因子積所對應橢圓曲線的形狀與分解的方摘要法無關。如果兩條隱含多項式曲線滿足透射變換關系，那麼它們首二次因子積中的橢圓曲線方程去除常數項后也滿足這種變換關系。
  5. They have the properties like the quadratic uniform b - spline basis functions. the piecewise polynomial curves generated by the above - mentioned functions possess the same structure and geometry properties as piecewise quadratic uniform b - spline curve

    它們具有二次均勻b樣條基函數的性質，且用它們生成的分段多項式曲線具有與分段二次均勻b樣條曲線相同的結構和幾何性質。
  6. As further extension of the uniform b - spline basis functions, the author extends the uniform b - spline basis functions of degree 3 and degree 4, and generates the blending functions of degree 5 ( 3 - b ) n degree 5 ( 4 - b ) and degree 6 ( 4 - b )

    作為均勻b樣條曲線的進一步擴展，作者對三次和四次b樣條基函數進行擴展，構造了三b五次、四b五次、四b六次調配函數，從而產生了連續性分別達到c ~ 3和c ~ 4連續的多項式曲線，它們的形狀都可以用參數進行調整。
  7. As far as parametric curves and surfaces are concerned, we discuss the point - by - point generating algorithms for parametric polynomial curves, parametric rational curves and parametric polynomial surfaces

    對于參數曲線曲面，介紹了參數多項式曲線，有理參數曲線和參數多項式曲面的逐點生成演算法，這些演算法能廣泛地應用於實際。
  8. ( 3 ) the methods of determining the degree of ii ? curves based on the boundary of objects and tightly fitting objects with ip curve are proposed. the algorithms would help to fit and describe objects automatically by computer

    這為計算機自動選取適當次數的隱含多項式曲線擬合與描述物體提供了依據，同時減少了圖像物體識別中人的參與。
  9. The experimental results show that these two algorithms are efficient and computational complexity is low. ( 2 ) we prove that necessary and sufficient conditions for bounded and closed ip curves are that second - degree polynomial factor curves in the leading binomial product v abstract decomposed from the leading form of [ p are ellipses

    （ 2 ）證明了隱含多項式曲線封閉有界的條件是隱含多項式分解的首二次因子積中的二次因子曲線是橢圓曲線，並給出了避免隱含多項式曲線自相交的條件。
  10. And then we introduce bezier, b - spline and non - polynomial curves and surfaces modeling, which include l - splines, helix splines, splines in tension and c - curves etc. by analyzing the characters of bezier curves and b - spline curves, we construct trigonometric polynomial curves in the space of trigonometric functions, which assume the characters of b zier curves and b - spline curves

    闡述了cagd中參數曲線曲面造型的發展歷史並介紹了bzier方法、 b樣條方法以及非多項式曲線曲面造型方法，後者包括l -樣條、螺旋樣條、張力樣條以及c -曲線等。文章以b zier曲線和b樣條曲線的特點為基礎，在三角函數空間中構造一組具有上述兩類曲線特性的三角函數多項式曲線，稱其為t - b zier曲線和t - b樣條曲線。
  11. At last, the t - b zier curves and t - b - spline curves can be converted to rational curves so easily that they can be merged into current geometry modeling rapidly

    最後由於這兩類曲線僅由三角函數構成，所以它們較易轉化為有理多項式曲線。從而融入到現有的幾何造型系統中。
  12. In this di ssertation, segmentation, description and recognition of objects are studied systematically by the variogram function and implicit polynomial ( ip ) curve

    本文引進變差函數和隱含多項式曲線理論對景物圖像中的物體分割、描述和識別作了較為系統的研究。
  13. At the same time, according to the excellent capability of ip curves, we study fitting and description of objects, determination of invariants of objects, symmetry detection and recognition of objects based on ip curves. in all, the main contributions in the dissertation are as follows : ( 1 ) a method of determining automatically the scale of the multiscale edge detection is proposed based on the variant distance of the variogram function, and a method of segmenting texture images is also presented. the variograin values are taken as stochastic and structural properties of texture images and variant distance is taken as the size of image window

    同時，基於隱含多項式曲線良好的物體描述與識別能力，對物體邊界輪廓的擬合、描述、不變量特徵的提取、識別以及物體對稱性檢測作了系統的研究，主要成果及創新之處有： （ 1 ）基於變差函數的變程，提出了圖像多尺度邊緣檢測中尺度大小的自動確定方法；將變差函數的變差值作為紋理的統計和結構特徵，依據變程確定窗口大小，給出一種新的紋理圖像的分割方法。
  14. In the second chapter, a class of polynomial blending functions of degree n + 1 is presented. based on the functions, we present polynomial curves with some shape parameters. the generated curves are similar with the degree n bezier curves

    第二章給出一類n + 1次多項式調配函數，並由此構造了帶形狀參數的多項式曲線，生成曲線具有與n次b zier曲線類似的幾何性質。
  15. Based on the historical data of shanghai port container throughput, forecast models are established by using grey prediction model and cubic polynomial curve prediction model

    摘要利用上海港國際集裝箱吞吐量的歷史數據，分別採用灰色預測法和三次多項式曲線模型建立了單項預測模型。
  16. Object recognition based on affine invariants in implicit polynomial curves

    基於隱含多項式曲線仿射不變量的目標識別
  17. Finally, some methods of digital processing techniques, such as polynomial curve fitting and exponential curve fitting and subsection curve fitting, are used firstly to compensate the performance of the detector. the measurement accuracy of the reader is improved, with the validity proved

    首次運用了多項式曲線擬合技術、指數曲線擬合技術以及採用分段擬合的技術，補償檢波器的性能，提高了通信系統的測量精度，應用效果顯著。
  18. This paper summaries the researches on the new schemes of parameter curves and surfaces modeling - curves and surfaces modeling of trigonometric polynomial, which includes curves and surfaces of t - bezier, t - b - spline, tc - bezier and tc - b - spline. hc - b zier curves and surfaces are also discussed in the space of hyperbolic functions in the end

    本文主要對參數曲線曲面造型的一種新方法? ?三角多項式曲線曲面進行了深入研究，其內容主要包括t - b zier曲線曲面、 t - b樣條曲線曲面、 tc - b zier曲線曲面和tc - b樣條曲線曲面。
  19. The p - elastica, the critical point for the total polynomial curvature functional on those curves with a fixed length satisfying given boundary conditions, is discussed

    主要研究了在具有固定長度、且滿足給定邊界條件的曲線上定義的總多項式曲率泛函的臨界點，即所謂p -彈性曲線。
  20. The author acquires three main results, i. e. an approach of constructing polynomial curves with some shape parameters, c2 - continuous spline curves of degree 4 with some shape parameter, and planar piecewise bezier curve of 3 4th and 6th degree with given control polygon and the curve segments are joined together with c1 c2 and c3 - continuity

    作者在後三章得到了本文的三個主要結果： （ 1 ）構造了一種帶形狀參數的多項式曲線； （ 2 ）構造了一類c ~ -連續帶形狀參數的四次樣條逼近曲線； （ 3 ）構造了與給定多邊形相切的可調控保形分段c ~ 1三次、 c ~ 3六次b zier樣條曲線。
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