樣條曲線式 的英文怎麼說

中文拼音 [yàngtiáoqūxiànshì]
樣條曲線式 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...
  • 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...
  • 式 : 名詞1 （樣式） type; style 2 （格式） pattern; form 3 （儀式; 典禮） ceremony; ritual 4 （自然科...
  • 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. 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。
  3. 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。
  4. 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
  5. 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。
  6. 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。
  7. 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。
  8. Another algorithm is based on pixels : sample many points along the curve, round them to the nearest integer and set each pixel the computed point falls in. although this algorithm uses integer arithmetic, it provides the smooth curve possible at the expense of computation time as many points have to be computed to ensure that no gaps are created along the curve. furthermore these two algorithms we mentioned above is appropriate for low degree parametric curves, for high degree parametric curves, we usually approach them by using low degree rational parametric curves, the generating curve ' s fairness property is not very good

    我們知道當節點矢量的兩端節點均為k重節點且無內節點時， b樣條基函數退化為bemstein多項式，因此該生成演算法還可推廣到b能ier曲線中，具有廣泛的應用價值、同樣地，在cad和cagd中，有理b樣條曲線，特別是非均勻有理b樣條曲線（ nurbs ）已經成為曲線曲面設計中最廣為流行的技術，然而對這些曲線目前也尚無很好的曲線生成演算法，因此有理b樣條曲線的生成演算法無疑有著更重要的意義
  9. 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
  10. Based on variable zmp and dynamics of 3 - d inverted pendulum, we educed the cog ( center of gravity ) ’ s trajectory equation of the robot in the single - support phase and transition of locomotion phase. and we used third - order spline function to ensure the acceleration continuity of the robot ’ s cog in the double - support phase. thereby, the smooth trajectory of cog was gained by planning

    由基於可變zmp和三維倒立擺的動力學原理，推導出了單腳支撐期內和步行方式轉換期間機器人的質心運動軌跡方程;並採用三次樣條曲線來保證機器人在雙腳支撐期質心加速度的連續性，從而由規劃得到了光滑的質心運動軌跡。
  11. 3. again applying the idea of singular blending to case of surfaces, a nuat b - spline interpolating blending surface is constructed by a explicit means and maximum distance between the interpolating surface and singular bilinear patch can be adjusted by the blending parameter similar to the case of the curve above. furthermore, some singular elements such as edges 、 ruled surfaces and plane can be conveniently embedded in the interpolating blending surface

    3 .將奇異混合思想應用到曲面插值上，提出了nuatb樣條曲面混合插值方法，該方法不僅給出了插值的顯格式，而且在插值曲面中可任意鑲嵌棱邊、直紋面或平面，利用混合因子，調節插值曲面與相應奇異雙線性曲面片之間的最大距離
  12. 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。
  13. A new representation of uniform b - spline curve

    樣條曲線的一種表示形式
  14. Firstly, the paper introduces the development and application of computer graphics & image technique, discusses the principle and method of cg and digital image processing, such as matrix of the graphic transformation, homogeneous reference frame, sampling and quantization of the image, file format of the image, template operation, etc. secondly the paper introduces the purpose and method of image enhancement processing, explains the each occasion of those methods such as threshold transformation, smoothing processing, sharpening processing, analyzes and contrasts the processing results of object image. thirdly, the paper introduces the method of mathematics morphologic, edge detection and thinning processing, attains character description of image and character dots of the contour. fourthly, the paper processes the coordinate transformation to character dots and basic splines fitting, imports correlative condition to devise meshing line and meshing track

    本文首先介紹了計算機圖形圖像技術的發展與應用情況，對計算機圖形學和數字圖像處理的一些基本理論和方法如圖形變換矩陣、齊次坐標系、圖像采樣和量化、圖像文件格式、模板操作等內容進行了討論：然後對圖像增強處理的目的和方法進行了介紹，對諸如閥值變換、平滑處理、銳化處理等方法的應用場合進行了說明，並對實物圖像的處理結果進行了分析與比較；接下來介紹了數學形態學方法、對增強后的圖像進行邊緣檢測的方法和圖像的特徵描述方法，並獲取輪廓的特徵點：隨后對獲取的特徵點進行坐標變換，並進行b樣條曲線擬合，引入相關條件生成齒輪副的嚙合線及嚙合軌跡：最後引入等值線和區域填充表示方法，並以等值線和區域填充的形式對弧齒錐齒輪嚙合模擬的載荷分佈情況進行了直觀的表示。
  15. Paper [ 76 ] provides a integer algorithm for rasterizing free curves, we need change the curve form to implicit function form, then use curve ' s positive - negative property to draw, but we ca n ' t use this algorithm when curve ' s degree is higher than 3 and this algorithm ca n ' t avoid using multiplication ; paper [ 77 ] provides a new generating algorithm, this algorithm can draw bezier very well, but for b - spline curve, we need use convert them into bernstein base form. because this process spends a lot of time, this algorithm has not a good speed and effect for rendering rational b - spline curve

    現在經常採用的演算法也是基於幾何的演算法（即線式生成演算法）和基於像素的演算法（點式生成演算法） ;文獻78 ]提供了一種有理參數曲線的快速逐點生成演算法，該演算法對有理b吮ier曲線的繪制，能起到很好的作用，但是對于有理b樣條曲線，必須先通過多項式的代數基與bemstein基間的變換矩陣，把原式用bemstein基表示，這一過程由於計算量大，降低了曲線生成的速度和效率
  16. In the curve and surface modules of this system b - splines curves and bezier surfaces are manipulated by moving their control points to new user defined locations. and for nurbs curves, the extra degree of freedom called weights is used to manipulate the shape of curves or surfaces. in the thesis, the preliminary research and development are made in the generation of nc codes for outline machining and output of nc codes text file

    採用互動式控制dof對nurbs曲線、曲面的設計與修型和通過移動曲線曲面上的控制點對b樣條曲線和貝塞爾曲面的互動式直接修型兩種方法，開發了曲線、曲面cad模塊；本文還對數控編程軟體開發中外輪廓加工的數控代碼生成和代碼文本文件輸出進行了初步的研究與開發。
  17. Three special subspaces of ect spline space : polynomial space, the algebraic trigonometric spline space and hyperbolic spline space are investigated in detail. the generalized p lya polynomials, associated with the three subspaces, are calculated. both of boehm algorithm and oslo algorithm for the ect b spline curves of order 4 over the three special subspaces are displayed

    三、在多項式樣條空間、代數三角樣條空間和代數雙曲樣條空間這三個具體的ect空間上，給出了相應典範ect組和廣義p lya多項式的計算和顯示表示，展示了幾個低階ectb樣條曲線各種插入節點演算法的求解全過程
  18. This paper summaries the researches on the new schemes of parameter curves and surfaces modeling - curves and surfaces modeling of trigonometric polynomial, which includes curves and surfaces of t - bezier, t - b - spline, tc - bezier and tc - b - spline. hc - b zier curves and surfaces are also discussed in the space of hyperbolic functions in the end

    本文主要對參數曲線曲面造型的一種新方法? ?三角多項式曲線曲面進行了深入研究，其內容主要包括t - b zier曲線曲面、 t - b樣條曲線曲面、 tc - b zier曲線曲面和tc - b樣條曲線曲面。
  19. The collection of all ect splines of order n forms a linear space called a space of ect splines, over which if each connection matrix is nonsingular, lower triangular and totally positive, there exist ect b splines having nonnegative, form a partition of unity, and minimal compact supports

    若每個關聯矩陣都是非奇異、下三角、全正的矩陣，則在ect樣條空間上存在非負的、歸一的和具有最小支撐的ectb樣條.由ectb樣條拓廣的ectb樣條曲線有許多類似於多項式b樣條曲線的性質
  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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