convex curve 中文意思是什麼

convex curve 解釋
凸曲線
  • convex : adj. 中凸的，凸圓的，凸面的。n. 凸狀，凸面，凸圓體。 convex glasses 遠視眼鏡，老花眼鏡。adv. -ly
  • curve : n 1 曲線；彎曲；彎曲物。2 曲線規 （＝French curve）；【機械工程】曲線板；【棒球】曲線球；【統計學...
  1. An indifference curve is usually assumed to be convex.

    無差異曲線通常呈凸形。
  2. Morphing is the continuous smooth and natural transformation of a source object into a target object, where the object can be a numerical image, curve, surface, mesh, etc. morphing has very wide use in many areas, such as computer graphics, animation design, industrial modeling, science computation visualization, film stunt, etc. this paper makes researches on the morph of compatible planar triangulations and that of planar polygons, and the main results are as follows : 1 ) morph of compatible planar triangulations : this paper presents a convexity - preserving method for morphing compatible planar triangulations with different convex boundaries

    變形，是指從初始物體到目標物體的連續、光滑、自然的過渡（這里的物體可以是數字圖像、曲線、曲面、網格等） 。變形在許多領域有著十分廣泛的應用，如計算機圖形學、動畫設計、工業造型、科學計算可視化、電影特技等。本文對同構平面三角網格的變形和平面多邊形的變形進行了研究，主要的研究結果如下： 1 ）同構平面三角網格的變形：提出了具有不同凸邊界的同構平面三角網格的保凸變形方法。
  3. Nurbs curve equation contains two shape parameters, i. e. control convex and the weight factor

    Nurbs曲線方程包含了兩個形狀因子：控制頂點和相應控制頂點的權因子。
  4. Moving control convex will change the shape of nurbs curve, while altering the weight factor will also vary the shape of nurbs

    移動控制頂點可以改變曲線的形狀，而改變權因子也會影響曲線的形狀。
  5. The great modification of shape of nurbs curve can be got by moving the control convex adaptably, while the less diversification is made when the weight factor changed

    移動控制頂點適合於對形狀作較大的修改，而改變權因子適合於對形狀作微調。
  6. Under this flow, the convex initial curve will preserve its perimeter, enlarge the enclosed area and make its curvature to be positive definitely. and as the time lasts, it will become more and more circular, and finally, as the time goes to infinity, the curve will converge to a circle in the hausdorff metric

    本文證明在這種新的曲線流之下，閉凸曲線周長保持不變、所圍區域的面積不斷增大而曲率保持恆正（從而保持凸性） ，並且，隨著時間的推移曲線變得越來越圓，最終當時間t趨向于無窮大時，曲線在hausdorff度量意義下收斂到一個圓周。
  7. First according to the fact that tangential components of the evolution do not affect the geometric shape of the evolving curves, we introduce the evolution equation of geometric quantities for the general planar curves. then we describe the work of gage - hamilton briefly. last we consider a special curvature flow of curve which evolves with speed function of the principal curvatures along the inner norm and show that convexity of the curve is kept and its length and area are contracted if the initial closed curve is smooth and convex. so the final shape of the curve will be a point in finite time

    首先根據曲線在切向分量上發展是不影響曲線的發展形狀，我們引入了曲線的一些幾何變量的發展方程；其次我們簡要地回顧gage - hamilton研究曲線發展的一般步驟；最後我們考慮沿曲線的內法線以曲率的函數為發展速度的一類特殊的曲線族，證明了在初始曲線為凸的閉平面簡單曲線條件下，曲線將保持凸的，並且它的面積和周長將同時收縮，並在有限時間內成為一個點。
  8. Secondly, in this part, we will introduce the notation of average geodesic curvature for curves in the hyperbolic plane, and investigate the relationship between the embeddedness of the curve and its average geodesic curvature. finally, we will employ the minkowski ' s support function to construct a new kind of non - circular smooth constant breadth curves in order to attack some open problems on the constant width curves ( for example, whether there is a non - circular polynomial curve of constant width, etc. ) in the second part, we will first follow the ideas of gage - hamilton [ 28 ], gage [ 26 ] and the author ' s dissertation [ 47 ] to present a perimeter - preserving closed convex curve flow in the plane, which is from physical phenomena

    其次，對雙曲平面上的曲線引入平均測地曲率的概念，並討論雙曲平面上凸曲線的嵌入性與它的平均測地曲率之間的關系，其目的是為了將雙曲平面上曲線的性質與歐氏平面中曲線的性質作一些對比；最後，我們利用minkowski支撐函數構造了一類新的非圓的光滑常寬曲線，其目的是想回答有關常寬曲線的一些未解決問題（如是否存在非圓的多項式常寬曲線
  9. Grpcs provides a unified framework for parametric curve and surface. it does not only inherit a lot of good properties from nurbs such as locality, convex hull, affine and perspective invariance etc., but also has the ability to directly represent trimmed surfaces and closed surfaces

    廣義有理參數曲線曲面在表示形式和計算方法上具有高度的統一性，它不僅繼承了nurbs的很多優良性質，比如局部控制性、凸包性、仿射和投影不變性等，而且可以直接表示裁剪曲面和閉合的曲線曲面。
  10. The first is in the position of convex rate - distortion and the second is in the position of arbitrary rate - distortion curve

    第一種是在率失真曲線是下凸的情況下進行的，這種方法演算法是以率失真曲線的斜率為基礎的。
  11. The difference of the two methods is that the first is in the position of convex rate - distortion and the second is in the position of arbitrary rate - distortion curve

    這兩種比特分配演算法的差別在於，第一種是在率失真曲線是下凸的情況下進行的，這種方法演算法是以率失真曲線的斜率為基礎的。
  12. This report is composed of two main parts, one concerns some geometric inequalities about curves and an application of the minkowski ' s support function, the other deals with the perimeter - preserving flow of closed convex curves in the plane and an application of the curve shortening flow on surfaces

    本文主要由兩個部分組成，第一部分涉及曲線的一些不等式以及minkowski支撐函數的一個應用；第二部分討論歐氏平面上閉凸曲線的保長度流和曲面上曲線縮短流的一個應用。
  13. In the algorithm, the convexity - concavity of vertexes and arcs must be identified, and a fast approach for identifying the convexity - concavity of line - arc closed curve is proposed. firstly, the orientation of a closed - curve is determined by constructing a new convex polygon. secondly, by using the orientation of the closed curve the convexity - concavity of vertices and arcs are identified

    在演算法實現過程中，由於需要對圓弧和直線段組成的封閉曲線的頂點、圓弧的凸凹性進行判定，本文提出了一個圓弧和直線段組成的封閉曲線凸凹性快速判定方法，該方法首先通過構造一中介凸多邊形求出封閉曲線的方向，然後根據封閉曲線方向確定頂點及圓弧的凸凹性，進而確定封閉曲線的凸凹性。
  14. 3. when = 0, we give the curve of the multiple orbit bifurcation in the parameter plane (, l ). and we prove that the bifurcation of multiple loop is a double orbit bifurcation and the curve is convex

    3 、當= 0時，在參數平面上（ ， l ）給出重閉軌分支曲線並證明該重閉軌分支為二重閉軌分支，且該分支曲線是上凸的。
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