樣條插值曲線 的英文怎麼說
中文拼音 [yàngtiáochāzhíqūxiàn]
樣條插值曲線
英文
spline- 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...
- 插 : 動詞1. (把細長或薄的東西放進、擠入、刺進或穿入; 插上; 插進) stick in; insert 2. (中間加進去; 加進中間去) interpose; insert
- 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...
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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。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。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。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。This paper reaches a conclusion that the three methods of term structure estimation lead to the difference of the pricing of irdp and that the cubic interpolation is the best method when these methods are applied to construction of zero - yield curve and evaluation of coup bond, zero - bond option and interest rate swap
立方插值法在零息收益曲線的構造時以及在對附息債券、債券期權、利率互換定價時優於三次樣條插值法和線性插值法,是三種插值方法中最好的方法。Finally, the paper realize the convenient dialog interface and hydraulic machine ' s test data processing mainly introduces, analyses the multinomial fitting and spling interpolation mathematics models and solves the solution and drawing of constant efficiency value curve and 95 % confining curve in comprehensive specific property curve
實驗臺的軟體系統實現了友好的人機對話,實驗數據處理部分主要介紹、分析了多項式擬合模型和三次b樣條插值模型,實現了模型轉輪綜合特性曲線中等效率曲線的求解與繪制以及95出力限制線的繪制。Then the center ' s track equation of the circular cutter which was used to manufacture the cam was presented. for the problem of designing on combined cam mechanism which follows the given track, typical nodes in the track were selected at first. then the spline interpolation method was employed to plot the smooth track
針對實現特定軌跡的凸輪一連桿組合機構設計問題,文中首先選取軌跡上有代表性的節點,採用樣條插值法繪出光滑的軌跡曲線,進而具體分析從動件的位移、類速度、類加速度,最後對凸輪-連桿組合機構進行設計。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。The main achievements are as follows : 1. based on the idea to blend a nuat b - spline curve with a singularly parameterized polygon according to parameter, a local interpolation method is presented for nuat b - spline curve, by which a c ~ 2 nuat b - spline interpolating curve of order 4 without solving a global linear system of equations is generated. 2
主要研究結果如下: 1 .提出了一種局部插值方法,將一條nuatb樣條曲線和一個奇異參數化多邊形按混合因子相混合,不需求解方程組就能生成一條c ~ 2連續的四階nuatb樣條混合插值曲線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。It is necessary to explore methods to find out interpolation points for processing of substantive and dense digitized data in an automatic manner. this dissertation presents two algorithms called as " quintic - curve - method " and " sixtic - curve - method " which are applied to automatically select nodes for quintic spline interpolation
( 3 )針對大量稠密數字化數據五次樣條插值的需要,開發了兩種插值節點自動選擇演算法:五次曲線法和六次曲線法。( 2 ) although spline curves are applied widely, but the research on the algorithms of quintic spline interpolation is little
( 2 )雖然樣條曲線具有廣泛的應用,但對五次樣條插值演算法的研究卻很少。The systemic research on the algorithms and the correlative algorithms establish massive foundation for the application of quintic spline curves in nc machining. ( 3 ) until now, interpolation points have mostly been selected manually in an empirical way
五次樣條插值演算法及其配套演算法的系統深入研究,為五次樣條曲線在數控加工技術領域中的應用奠定了堅實的演算法基礎。Therefore, some algorithms of quintic spline interpolation are first developed or improved, tested and evaluated. the algorithm of local quintic spline interpolation ( qa3 ) and quintic b - spline interpolation ( qa4 ) therein are very propitious to curve fitting of discrete data points and to nc programming of freeform curves and surfaces
因此,完善、推導和開發了多種五次樣條插值演算法,並對其進行了測試和評價,認為:五次多項式樣條局部插值演算法qa3和五次b樣條插值演算法qa4非常適合於離散數據的曲線擬合和曲線曲面的nc編程。Because limited by the sampling channel of transient electromagnetic measuring depth fieldwork curve ( generally 20 ~ 40 channels ), the smoothing degree of fieldwork curve is not very good, it make against the differential imaging treatment. in order to hold the continuous change characters of the curve and seek the voltage exactly, we use the thrice spline insert number function to reconstruct the fieldwork data ; 4
) t ; 3 .由於受瞬變電磁測深實測曲線取樣道的限制(一般為20 ~ 40道) ,實測曲線光滑程度較差,不利於微分成像處理,為了更好的把握曲線連續變化的特徵及準確求導,採用了三次樣條插值對實測數據進行重構;續Based on the test data, and by using the distillerys grain drying curve and drying - rate curve, this paper analysed the distillerys grain drying process, and demonstrated the characteristics of the drying and the change of drying - rate of the distillerys grain in heat - air penetrating bed
根據試驗所測數據,利用三次樣條插值函數擬合酒精糟乾燥曲線和乾燥速度曲線,深入分析酒精糟的乾燥過程,得出酒精糟在熱風穿床乾燥方式下的乾燥特點和乾燥速度的變化規律。We compare the b - spline curve interpolation and b - spline surface interpolation, analyze the fault of the b - spline curve interpolation and point out that we should use b - spline surface interpolation instead of b - spline curve to keep the continuity of the data result. also, we introduce the way to get control point from value point. then we propose the multi - step fitting of the dense and scattered data to construct b - spline surface, this algorithm perfectly resolve the obstacle of denseness and scattering of the contour line data
第三章介紹了b樣條插值原理,論述了用b樣條曲面代替b樣條曲線對等高線進行插值,解決了線插值的不連續問題;並在b樣條曲面中運用了密集散亂數據點多步擬合演算法,解決了對等高線進行b樣條曲面插值中數據點散亂冗餘的問題。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。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。There are two mainly method for surface rebuild, one is based on three angular bezier surface, the other is b - spline or nurbs surface. the property of b - spline and nurbs curve is introduced and how to generate curve and surface with interpolation is studied
對基於三角bezier曲面和b樣條或nurbs曲面的曲面重構進行了論述,介紹了b樣條和nurbs曲線曲面特點並對用插值法生成曲線曲面進行了研究。分享友人