bezier 中文意思是什麼

bezier 解釋
（貝塞爾曲線控制器）可以在幾乎所有參數值或關鍵幀之間建立貝塞爾曲線控制，產生豐富的變化。

  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. 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。
  3. We use bezier curves to describe the shape of leaf midrib and embed the image of leaf into the space of local frames along the midrib curve

    植物葉面的造型採用bezier參數曲線描述葉子中脈的形狀，然後將葉子的紋理圖象嵌入到葉脈曲線的局部標架中。
  4. As for the leaves, we use bezier curves to describe shape of leaf midrib. the texture image of leaf is embedded into the space of local frames along the midrib curve

    對于葉片的生成，本文採用bezier參數曲線描述葉子中脈的形狀，把樹葉或草葉構成的星形結構紋理圖象嵌入到葉脈參數曲線的局部標架中來實現。
  5. Then we use bernstain - bezier triangles to interpolate these points and reconstruct the worm gear surface. a new digital model of worm gear is provided. we can use this digital model to cnc, rp & rm, interference - detecting, etc. finally, we refit a y35j2 nobbing machine into a five - coordinate cnc machine

    在這一方案下，提出以截交線上的型值點作為刀觸點制定走刀軌跡的方法，以y35j2型滾齒機為實踐平臺提出加工平面二包蝸桿副的數控改造方案，對這一方案進行了計算機模擬。
  6. Based on a systematic discussion on the contents, characteristics and the up - to - now accomplishments of these three operations in cagd, we present our researches in three ways as follows : ( 1 ) efficient evaluation for parametric curves and surfaces based on generalized ball bases based on the generalization of mathematical model of surface lofting program in the consurf system, two generalized ball surfaces and the recursive algorithms for evaluating them are given. furthermore, the conversion algorithms from bezier form of a surface to these two generalized ball forms are presented

    在系統地論述cagd中此三類運算的內容、特點、已有研究成果的基礎上，就以下三方面給出了研究成果： （ 1 ）基於廣義ball基的參數曲線曲面快速求值以前英國航空公司consurf系統機身模線程序數學模型的推廣為基礎，定義了兩類廣義ball基曲面，給出了求值的遞推演算法，推導了b zier曲面到這兩類曲面的轉換演算法
  7. ( 2 ) offset approximation for bezier curves the problem of parametric speed approximation of a curve is raised. the author points out that the crux of offset curve approximation lies in the approximation of parametric speed

    （ 2 ）等距曲線逼近（ offset ）提出了曲線參數速度逼近問題，指出等距曲線逼近問題的關鍵在於參數速度的逼近
  8. Finally, the complex surfaces are developed by partition of the surfaces into small surface segment, and approximation of the small segment with the developable surface between two bezier curves

    Zier曲線上的直紋面，給出了它成為可展曲面的一個充分條件，並通過保角保長原則，將其貼合到平面上。
  9. Finally, when a 00, the limt situations for the developable modeling and surface development above are all disscussed and compared with those on bezier curve. the programs of the above methods und algorithms are developed, which shall be used in the system of developable surface modeling for cad / cam

    Zier曲線上可展曲面造型方法和曲面展開演算法，均給出了當0時的極限，並與b ? zier曲線的情形作了分析和比較。這些方法和演算法均應用於實例在計算機上得以實現。
  10. Geometric properties of ribs and fans of a bezier curve

    Bezier曲線肋形和扇形的幾何特性
  11. On the aspect of the research of the rcs computation methods, this dissertation did many work as : it discussed the application of the stationary phase method for the integral of the physical optics and gave the expressions of the stationary phase method based bezier surface for the perfect conduct and coated target ; focused on the application of the stationary phase method, it discussed some important techniques such as the searching of the stationary phase method and the handling of the singularity ; it also discuss the application of the gauss method for verifying the correction of the stationary phase method, and gave their compares of the efficiency and the precision

    在rcs演算法研究方面，本文做了以下研究：討論了在bezier曲面上物理光學積分的駐相法求解，給出了bezier曲面上理想導體和塗敷目標駐相公式；圍繞駐相法的應用，討論了駐相法應用中的一些關鍵的技術問題，包括駐相點的搜索、駐相法的奇異性；為了檢驗駐相法的精度，還討論了gauss積分的應用，給出了兩種方法計算效率和精度的比較。
  12. In order to solve this problem, we present a new method in this paper through using the bezier curve as the axial deformation control curve to generate variety trunks and branches

    在生成樹的過程中，利用bezier曲線作為頂點控制曲線，採用軸變形方法生成形態各異、效果逼真的樹乾和分枝。
  13. The parametric speed of the curve is firstly approximated by the bezier polynomial which takes the lengths of control polygon ' s edges of the direction curve of normal as bezier coordinates. then the corresponding geometric offset approximation algorithm is given. moreover, an offset approximation with high precision is obtained by degree elevation of the direction curve of normal

    首先利用以法矢方向曲線的控制多邊形邊長為b zier縱標的b zier多項式來逼近曲線的參數速度，給出了相應的幾何等距逼近演算法，進一步結合法矢方向曲線的升階獲得了高精度逼近
  14. Hence designers can adjust the shape of curves by changing not only control points but also shape factor. our experiments show that h - bezier model approximate to the control polygon more closely than bezier model. so they are suitable to shape design and modeling in cad systems

    而且h - b zier曲線還引入了一個稱為形狀因子的參數，形狀設計者不僅可以像b zier曲線一樣通過調節控制多邊形來控制曲線形狀，而且還可以調節形狀因子來調整曲線對控制多邊形的逼近程度
  15. This new basis provides properties analogous to berstein polynomials, including symmetry, zeros of the basis functions, positivity, normalization, etc. based on this new basis, we define a new kind of curves, to be called h - bezier curves, with control polygon

    本文利用多項式混合雙曲形式在空間中構造了一組新的基，稱為h - b zier基，它具有類似於bernstein基的端點性質，零點階數，正性，正規性質，對稱性等性質進一步，文章通過控制多邊形的方式定義了h - b zier曲線
  16. During the past decades, some researchers, such as : bezier, kj. versprile, deboor and cox, etc. had made great progress in the filed of constrained b - spline curve and surface fitting. in this article the method of constrained b - spline curve was introduced, which is used to figure out the control vertexes. using this interpolation method we can calculate every points of a uniform b - spline

    並且分析了在各種端點情況下，在重節點的情況下，如何反算控制多邊形的頂點；如何在求出控制多邊形頂點之後，插值計算b樣條擬合曲線上的每一點；並通過結合雙尾船的型線，採用visualc + +和autocad2002為平臺，分別編制了相應的軟體，對提供的型值做出繪圖處理，取得了良好的效果。
  17. Secondly, as for degree reduction of interval rational bezier curves, two methods are given : pseudo linear programming method ( plpm ) and pseudo optimal approximation method ( poam )

    接下來對區間有理bezier曲線，給出兩種降階逼近演算法：擬線性規劃法（ plpm ）和擬最優逼近法（ poam ） 。
  18. Based on the representation of interval rational bezier curves and surfaces and by a serial of mathematical transformation, the degree reductions of them are converted to those of polynomials with upper bounds, then several algorithms are presented, with linear programming and optimal approximation methods. by relaxation of some constrained conditions, approximation effects of some of them are further improved

    根據區間有理bezier曲線、曲面的特點，通過一系列數學變換，將其降階問題轉化為多項式的保上界降階逼近，再應用線性規劃和最優逼近方法求解，給出幾種逼近演算法，並探討通過約束不等式的鬆弛，進一步改進逼近效果。
  19. The above idea is also applied to rational curves and an algorithm for offset approximation of rational bezier curves is presented

    並將以上的思想應用於有理曲線，給出了有理b zier曲線的等距逼近演算法
  20. Two methods are given. one is obtained by using degree reduction of interval rational bezier curves in two parameter directions according to the character of tensor product, which is called " single step method ". by comparison for degree reductions produced by the different order in two parameter directions, the relationships of the approximation results are discussed

    然後討論了矩形域上區間有理bezier曲面的降階問題，給出兩種降階演算法：一個是針對張量積的特點將問題轉變為兩參數方向的區間有理曲線的降階逼近，即「單步法」 ，並討論單步法沿兩參數方向不同次序降階的關系。
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