rational spline 中文意思是什麼

rational spline 解釋
有理樣條
  • rational : adj 1 理性的。2 推理的；有理性的；懂道理的，講道理的；合理的，合道理的；純理論的。3 【數學】有理...
  • spline : n. 1. 【機械工程】花鍵；方栓；止轉楔；齒槽，齒條，鍵槽條。2. 【建築】塞縫片。3. 活動曲線規。vt. 1. 開鍵槽于。2. 用花鍵（或方栓）聯接。
  1. Secondly, the various conic arcs and conies are generated by the rational triangular bezier and the b - spline method in polar coordinates system

    其次，給出圓錐曲線弧及其補弧的三角有理b zier表示；以及任意角度二次曲線弧的極坐標b樣條表示。
  2. In the past decade, a lot of new work had been proposed to overcome the limitations of nurbs, such as triangular nurbs, t - spline, g - spline, rational gauss surface, and so on

    為克服nurbs的缺點，十年來，先後出現了很多新的設計方法，如三角域nurbs 、 t樣條、 g樣條和有理高斯曲面等。
  3. The details are as follows. the correlative knowledge of basic spline and bernstein basis functions, the theory of basic spline and bezier curves & surface and their rational forms, all these are regarded as the academic background of further research

    涉及b樣條基函數及其性質， b樣條曲線曲面和有理b樣條曲線曲面及其性質， bernstein基函數及其性質， b zier曲線曲面和有理b zier曲線曲面及其性質等等。
  4. The result shows that the sufficient and necessary condition of the quadratic rational b - spline curve ' s curvature monotony is similar to the quadratic rational bezier curves ", but its condition is some different from the quadratic rational bezier curves " curve ' s rendering algorithm is an important content in computer graphics, cad

    曲線的生成演算法是計算機圖形學的重要內容。對於一些基本曲線，如直線，圓，橢圓等，都有快速生成演算法，如畫直線的bresenham演算法， dda演算法，畫圓的bresenham演算法，中點法，正負法， pitterway的橢圓及拋物線繪制演算法等等。
  5. The main contents include the construction of subdivision surfaces satisfying the constrain of curves interpolation based on catmull - clark subdivision scheme, the interpolated curves are uniform b - spline ; the construction of subdivision surfaces interpolating nurbs curves based on non - uniform rational catmull - clark ( nurcc ) subdivision scheme ; generation of sharp features on subdivision surfaces ; application of subdivision surfaces in the traditional surface design method - skinning

    其內容主要包括：基於catmull - clark細分演算法構造滿足曲線插值約束的細分曲面的方法，被插值曲線為均勻b樣條曲線；基於非均勻有理catmull - clark細分演算法構造能夠插值nurbs曲線的細分曲面的方法；細分曲面上尖銳特徵的生成方法；細分方法在曲面設計的傳統方法?蒙皮法?中的應用等。
  6. First, this paper construct the mathematical model of blade according to the original data point of blade surface with 23 degree nurbs ( non - uniform - rational b - spline ) surface

    首先，本文根據葉片型面原始型值點數據信息，提出了較合理的數學模型，採用23次非均勻有理b樣條擬合葉片型面，成功的擬合了葉片空間型面。
  7. Thirdly, the effects on the cv rational interpolating splines from the perturbation of the two boundary conditions are analyzed. from this the error bounds of first and second derivatives of cv rational interpolating spline are given

    然後，分析了兩類端點條件的擾動對cv有理插值樣條函數的影響，給出了它們在非均勻節點處的一階和二階導數值的誤差界
  8. Bezier, b - spline, and their rational models play an important role in cad / cam systems. but these models show obvious shortcomings, such as no encompassing transcendent ( i. e., nonalgebraic ) curves, e. g. the circle, the cycloid, the catenary and the hyperbolic helix

    B zier ， b -樣條以及它們的有理模型在cad cam系統中有著非常重要的地位，但是這些模型也有著明顯的缺陷，譬如不能精確表示很多非代數曲線，如圓弧，擺線，懸鏈線，雙曲螺線等
  9. In fact, rational quadratic bezier curve is just a special form of rational quadratic b - spline curve, the condition of quadratic rational b - spline curve is similar to quadratic rational bezier curve

    事實上，二次有理b zier曲線是二次有理b樣條曲線的特例，二次有理b樣條曲線曲率單調的充要條件是否與二次有理b zier曲線相類似
  10. We have more important significance studying quadratic rational b - spline curve ' s curvature monotony. this paper derive the curvature monotony condition for the quadratic rational b spline curves by using the skew coordinate system that can reduces the calculation process. and the curvature monotony condition is compared to the quadratic rational bezier curves "

    本論文通過建立斜坐標系，簡化了計算過程，推導出了二次有理b樣條曲線曲率單調充要條件，並與二次有理b zier曲線的曲率單調條件相比較，結果表明：二次有理b樣條曲線曲率單調的充要條件與二次有理b zier樣條曲線相類似，但其條件又有不同。
  11. An algorithm for constructing rational spline closed curve which is tangent to the given polygon is described

    摘要描述了一種與給定多邊形相切的有理樣條閉曲線的演算法。
  12. Shape control for rational cubic uniform b - spline curves

    樣條曲線的形狀控制
  13. In this paper, an algorithm for constructing rational spline curve, which was tangent to the given polygon, was described

    摘要描述了一種與給定多邊形相切的有理樣條曲線的演算法。
  14. 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。
  15. The control points of the rational spline to be constructed are computed simply by the vertices of the given polygon

    在演算法中，所有的有理樣條曲線的控制點可以通過對多邊形的頂點簡單計算產生。
  16. The control points of the rational spline to be constructed were computed simply by the vertices of the given polygon

    在演算法中，所有的有理樣條曲線的控制點可以通過對多邊形的頂點簡單計算產生。
  17. The main research contented and achieved are as follows : first, the paper define the rational space, then require the construction of the rational b - spline basis function, on this basic, paper define a kind of rational b - spline curve with prescribe pole

    本文取得的主要研究結果如下:首先，定義了一種指定極點的有理樣條空間，在該空間上給出了有理b樣條（基）函數的構造，由此定義了一種指定極點的有理b樣條曲線
  18. Shaping of output pdf based on the rational square - root b - spline model

    樣條模型的概率密度函數形狀控制
  19. Incorporating the non uniform rational b spline ( nurbs ) which is the only definition of the form of industry products, the author selects the method of b spline to do the numerical computation research work of the hydrodynamics of three dimensional ship hull based on the reading and analysis of the documents about hydrodynamics, especially the interaction hydrodynamics

    作者在對與船體水動力尤其是干擾水動力的研究相關的文獻的閱讀與分析的基礎上，結合作為定義工業產品幾何形狀的唯一數學描述的非均勻有理b樣條方法，選擇b樣條（統一成非均勻有理b樣條形式）來進行有關三維船體水動力的數值計算研究工作。
  20. The error estimation of a rational cubic spline

    帶有界約束非凸二次規劃問題的整體優化方法
分享友人
分享到 Line

分享到臉書