樣條三次曲線 的英文怎麼說

中文拼音 [yàngtiáosāncìqūxiàn]
樣條三次曲線 英文
b-spline cubic curve
  • 樣 : Ⅰ名詞1. （形狀） appearance; shape 2. （樣品） sample; model; pattern Ⅱ量詞（表示事物的種類） kind; type
  • 條 : Ⅰ名詞1 （細長的樹枝） twig 2 （條子） slip; strip 3 （分項目的） item; article 4 （層次; 秩序; 條...
  • 三 : Ⅰ數詞1. （二加一后所得） three 2. （表示多數或多次） more than two; several; many Ⅱ名詞（姓氏） a surname
  • 次 : Ⅰ名詞1 （次序; 等第） order; sequence 2 [書面語] （出外遠行時停留的處所） stopping place on a jou...
  • 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. 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. The algorithm has many advantages, such as simple discriminative rule, minimum error, incremental operation, etc

    將中點演算法運用於三次樣條曲線的光柵顯示，實現了誤差最小及迭代增量計算的要求。
  4. In order to realize 3d garment intelligent design, this paper brings forward a method to set up 3d garment model with form - points controlled spline and bi - cubic surface patch

    摘要為了實現三維服裝款式智能設計，提出以形值點控制的樣條曲線和雙三次曲面構建服裝立體模型的方法。
  5. B - 3 spline and reversed b - 3 spline is adopted to construct the outer figure of fashion parts. the key points are also defined to support the rigging of fashion parts. the two main modules - style input module and the intelligent rigging module are also described in details

    採用三次b樣條曲線和反算三次b樣條曲線來構造款式部件的外輪廓；定義部件關鍵點支持部件的拼接；對構成智能款式設計的兩大模塊?款式輸入模塊和智能拼接模塊，給出了設計要求和實現效果。
  6. The main body can be summarized as the following five sections : this paper firstly creatively builds the yield curve of our treasury securities by the method of regressive interpolation and spline. by the empirical study we can see that the method not only can build a smooth yield curve but also can predict the yield to maturity of any given term on the basis of the practical dealing data on the markets

    主體內容可概述為以下五部分：論文首先創造性地把回歸插補法和三次樣條插值法結合起來構造了中國的國債收益率曲線，經過實證分析表明，該方法可以以中國國債市場上的實際交易數據為樣本，既能構造平滑的國債收益率曲線，又能預測任意到期期限的國債收益率。
  7. This process is as follows : firstly, the data of different section contour and of section line have been obtained by reverse - engineering ; secondly, non - uniform b - spline approximation algorithm is used to fit the discrete data ; then the data have been optimized and reduced by adopting adaptive sampling of key points of the fitted curve based on vertical distance, sequently the adaptive sampling data is transformed into the format of the. ibl file of the famous 3 - d design software pro / e. therefore we reconstruct the surface and a model is generated ; lastly, the effectiveness of the adopted algorithm and modeling approach are demonstrated by the experiments

    建模型的過程中，首先運用逆向工程測量方法，獲得曲面物體上不同截面輪廓線的測量數據點列，接著對測量數據點進行平滑處理，用最小二乘法求解基於數據點列的控制多邊形，以非均勻三次b樣條曲線擬合截面輪廓曲線；然後利用基於垂距的數據采樣演算法，對擬合曲線上的數據點進行重新采樣，達到優化數據點的分佈及減少描述曲線數據量的目的。
  8. In the third chapter, we present a class of c2 - continuous spline curves of degree 4 with some shape parameter. the segmented curves are all shape preserving to given polygon

    第三章提出一類c ~ -連續的帶有形狀參數的四次樣條曲線，曲線上的所有曲線段的控制頂點由給定多邊形的頂點直接計算產生。
  9. It offers the idea according to problem faced, considering the good character of the ends, the ajusted cubic b - spline curve is used to fit ship lines. it finds out the control vertexs according to a sequence of given points, and then, through particular formula, each point in the curve could be worked out. it smoothes lines with the method based on small - paramter

    針對面臨的問題，提出了自己的思路，在數學計算方法上，由於三次準均勻b樣條曲線良好的端部性質，這里用它來擬合船舶型線，首先根據所給的初步型值求出其控制頂點，然後根據相關公式進行插值便能得到曲線上的所有插值點。
  10. Nurbs surfaces with single interior knots are simple and used widely. the thesis main aims at biuquartic, biquintic, k x fc - degree b - spline surfaces and bicubic nurbs with single interior knots. one of the contributions is to apply knot refinement and the geometric continuous conditions of bezier surfaces to deduce the geometric continuous constraints of nurbs patches and obtain the intrinsic equations of common boundary curves, where the intrinsic equations are the special phenomena of nurbs surfaces

    節點向量是內部單節點的nurbs曲面是最簡單也是最常用的，本文重點針對單節點的雙四次、雙五次和雙k次b樣條曲面及雙三次nurbs曲面，運用節點插入技術和b zier曲面的幾何連續理論成果，導出了它們之間的幾何光滑拼接條件，同時得到了公共邊界曲線所必須滿足的本徵方程，其中本徵方程是nurbs曲面所獨有的現象。
  11. 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。
  12. So we can complete the kinematic analysis of the cam mechanism by the analysis of the corresponding assur - group. based on the method, this paper deals with plannar disc - cam mechanisms with different types of followers. the main points of this paper are as follows

    基於桿組的分析方法，本文圍繞各種類型從動件的平面盤形凸輪機構做了如下工作： 1 .根據凸輪機構的檢測數據利用三次周期樣條函數插值法對凸輪實際廓線進行曲線擬合。
  13. By using auto - adjusting boundary conditions and the method of three cubed spline curve fitting, the system software can recover both of the horizontal and vertical beam profile. the measurement system can also measure the beam landing screen error of cpt. it provides a important measurement and analysis tool to improve the performance of electron gun and dy, and improve the definition of cpt

    系統軟體中，提出了採用動態確定邊界條件，通過對離散采樣點的三次樣條插值曲線的擬合恢復束斑x和y方向的輪廓，本系統既能準確客觀地描述電子束輪廓，又能夠準確快速地測量電子束著屏誤差等多種參數，為cpt電子槍和偏轉系統的性能改進與解析度的提高提供了有力的測試分析和研究手段。
  14. Second, the author introduced a new stability region, and programmed a trajectory of variable zmp, which was defined as a cosine curve ; the author also designed a cog - compensated method to keep the cog ’ s height ; based on dynamics of 3 - d inverted pendulum, the author educed the cog ’ s trajectory equation of the robot in the three - leg - support phase, and used third - order splint function to ensure the acceleration continuity of the robot ’ s cog in the four - leg - support phase. at last, walking patterns of the corresponding gait are generated through programmer design

    然後，提出了一種新的支撐區域選取方法，採用了按餘弦規律變化的zmp運動軌跡;為了維持機器人行走時重心高度不變，採用了一套有效的質心高度保持方法;基於三維倒立擺模型，推導了機器人三腳支撐期質心運動軌跡方程;採用三次樣條曲線插值規劃了四足支撐期加速度連續的質心運動軌跡。
  15. 3 department of naval architecture ocean engineering and research institute of marine systems engineering seoul national university, seoul 151 - 744, korea

    一種從等參線網格中生成雙三次g 1連續的b樣條船殼曲面的方法
  16. As further expansion of the cubic a - b - spline interpolation curves, in order to raise the continuity of the curves even, the author has defined the blending functions of corresponding degrees, constructed the adjustable interpolation curves of degree 5 and degree 6 with polynomial blending functions of degree 5 ( 3 - b ) and degree 6 ( 3 - b ) respectively. they are c3 and c4 continuous separately

    作為三次- b樣條插值曲線的進一步擴展，也為了提高插值曲線的連續性，作者定義了相應次數的奇異調配函數，同時利用三b五次、三b六次調配函數分別構造了五次和六次參數可調的插值曲線，它們分別是c ~ 3和c ~ 4連續的。
  17. Extending the cubic a - b - spline interpolation curves with the blending function of degree 4 ( 3 - b ), we get the interpolation curves of degree 4. the curves have not only kept the structures and properties of the cubic a - b - spline interpolation curves but also increased a shape control parameter, which expands the adjusting ranges of the curves and make the curves easier to be controlled

    利用三b四次調配函數對三次- b樣條插值曲線進行了擴展，擴展后得到的四次插值曲線在保留了三次- b樣條插值曲線的結構和性質的同時，增加了一個形狀調節參數，從而擴大了參數對曲線的調節范圍，使曲線更易於控制。
  18. On the study of interpolation algorithm and cagd theory, two interpolation algorithms are analyzed, basic spline and nurbs interpolation, and thrice basic spline interpolation algorithm is proposed to realize path planning. the simulation of industrial robot is also important in the research of robotics, which displays the robot model on the computer screen and facilitates the devise of robot

    在機器人運動空間的插值演算法和計算機輔助幾何設計理論的基礎上，分析了兩種直接插值演算法： b樣條和nurbs曲線插值演算法，提出一種三次b樣條插值演算法來實現工業機器人運動路徑規劃，提高了插值的精度和計算速度。
  19. As a result, the curves of c3 and c4 continuity can be generated, and the shape of the curves can be adjusted by the parameters x. the quadratic non - uniform b - spline curves are further extended and the continuity of curves is improved in this paper ; with a local shape parameter in each piecewise curve, the shape of the curves can be controlled effectively ; moreover, cusps of curves can be generated conveniently on the curves while using multiple knots

    對二次非均勻b樣條作了進一步擴展，提高了曲線的連續性；曲線的每一段上都有一個局部控制參數，利用它們可以更有效的控制曲線的形狀；同時，利用曲線的重節點可以很方便的在曲線上構造尖點。作為b樣條擴展曲線的應用，作者將上面構造的各次調配函數應用到三次- b樣條插值曲線上，得到下述結果。
  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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