polynomial curves 中文意思是什麼

polynomial curves 解釋
多項式曲結
  • polynomial : adj. 1. 【動、植】多詞學名的。2. 【數學】多項式的。n. 1. 【動、植】多詞學名。 2. 【數學】多項式。
  • curves : 成套曲線板
  1. Presents a new method for fairing of curves which has a small flexibility based on fitting the derivative of second order of curves. we fit the derivative of second order of curves by a polynomial fitting, then find an indefinite integral of this polynomial to get a approach of curves. otherwise, we discuss the analyze of the error and the optimize of fairing to this arithmetic

    提出了一種針對小撓度曲線的逆向曲線光順演算法，該演算法直接擬合曲線型值點列的二階導數曲線，然後通過兩次積分來反求出光順后的曲線，並對該演算法的誤差分析、效果分析、光順優化等問題進行了深入探討。
  2. Interval polynomial curves approximation of offset curves

    曲線的光順
  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. The approximate polynomial method was based on neuber ' s method, the cyclic stress - strain responses and neuber ' s rule were treated as probabilistic curves, and the statistic characteristic was obtained from the approximate polynomial. the method is fast and easy for engineering application

    近似的多項式擬合法在諾伯法的基礎上，將循環應力應變曲線和諾伯雙曲線視為概率曲線，通過建立近似多項式的方法，求得局部應力應變的統計特性，快速簡便，適合工程應用。
  5. Secondly, we introduce the recurrence definition of the non - uniform algebraic - hyperbolic b - spline basis using divided differences and the de boor - fix recurrence definition on polynomial functions, and based on the new forms, algebraic - hyperbolic b - spline curves are obtained. they share most of the properties as those of the b - spline curves in the polynomial space. we focus on deducing the calculating and knot inserting formulae for this new kind of curves and then prove that they have the variation diminishing properties

    二、利用廣義差商，基於多項式b樣條的deboor - fix遞推定義，給出了任意階非均勻代數雙曲b樣條的遞推定義，由此構造麯線，證明它的幾何不變性、仿射不變性、凸包性、 v . d .性等，重點給出了非均勻代數雙曲b樣條曲線的遞歸求值和節點插入演算法，演算法簡單且穩定，便於在計算機上實現
  6. In the third chapter, interval polynomial approximation of rational curves is introduced

    第三章主要介紹了有理曲線的區間多項式逼近。
  7. However, due to the complex of computation and the need of the design, sometime we need to use polynomial approximation for a rational curves and surfaces

    然而由於計算的復雜性和設計的需要，有時我們還需要用多項式函數來逼近有理曲線和曲面。
  8. In this paper, we survey the development of polynomial approximation of rational curves ( surfaces ) and state the knowledge of interval curves ( surfaces ) in the first chapter

    本論文中，第一章首先介紹了有理曲線曲面的多項式逼近研究工作的發展情況和區間曲線曲面一些相關知識。
  9. The quadratic uniform b - spline curves are extended, and a class of polynomial blending functions of degree 3 and degree 4 are presented in this paper, which can be extended to the case of degree n

    擴展了二次均勻b樣條基函數，構造出三次和四次帶局部參數_ i的調配函數，推廣后得到了n次的調配函數。
  10. 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。
  11. 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。
  12. A new method for determining knots to construct polynomial curves is presented. at each data point, a quadric curve which passes three consecutive points is constructed

    一般認為，在滿足給定約束條件的前提下，一條曲線具有的應變能越小，則該曲線的形狀就越好。
  13. Spline curves defined in the space constructed by polynomial and hyperbolic functions are studied in this paper. the main research contents and achievements are as follow : firstly, we generate the cardinal extended complete chebychevian ( ect ) - systems on the space constructed by polynomial and hyperbolic functions, then introduce the algebraic - hyperbolic b - spline space and identify the dimension law and zero properties. the existence of a basis of splines with minimal compact supports is demonstrated, and functions named non - uniform algebraic - hyperbolic b - splines are obtained by solving certain linear equations with a block matrix

    本文主要研究定義在多項式和雙曲函數構成的空間上的樣條曲線，其內容和完成結果如下:一、生成由多項式和雙曲函數構成的空間上的一組典範式ect （ extendedcompletechebychevian ）組及其對偶， ，證明非均勻代數雙曲b樣條空間的維數定理和零點定理，直接通過解塊矩陣線性方程組得到具有最小緊支撐的非均勻代數雙曲b樣條函數，進而構造非均勻代數雙曲b樣條曲線，還具體給出低階的表示
  14. Therefore, it can be used as an efficient new model for geometric design in the fields of cad / cam. at last, the spatial definition of periodic spline and natural spline constructed by polynomial and hyperbolic functions is given ; the dimension law and zero properties are demonstrated ; and therefore the non - uniform algebraic - hyperbolic period and natural spline curves are obtained. the applications of the low order are given in details

    三、給出代數雙曲周期樣條及自然樣條空間定義，證明其維數定理和零點定理，構造具有最小緊支撐的非均勻代數雙曲周期及自然樣條函數，進而定義非均勻代數雙曲周期及自然樣條曲線，最後具體給出低階的表示和應用
  15. 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。
  16. 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。
  17. 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。
  18. 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
  19. At last, we construct hyperbolic polynomial curves in the space of hyperbolic functions. we call them as hc - bezier curves

    文章最後運用同樣的方法在雙曲函數空間中構造了hc - b zier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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