curvature of a curve 中文意思是什麼

curvature of a curve 解釋
曲線的曲率
  • curvature : n. 1. 彎曲（部分）。2. 【數學】曲率，曲度。
  • of : OF ＝Old French 古法語。
  • a : an 用在以母音音素開始的詞前〉 indefinite art 1 〈普通可數名詞第一次提到時，冠以不定冠詞主要表示類...
  • 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. Further more, this algorithm also provides the criterion distinguishing edge inflexion and sleek curve section and the method computing inaccurately curvature radius and approximate perimeter. the paper also introduces the use method with cell edge hollow repairing and overlap or conglutination cell segmentation. for example, this algorithm has proved high - speed and has a good effect of cell segmentation on more than twenty groups of conglutinate and absent cells which are gathered from three kinds of cells

    同時給出了利用這些參數判別邊界角點，邊界光滑段的判據，以及估算曲率半徑，等效周長的方法;最後，以細胞邊界凹陷的修補和重疊細胞粘連的分割為例驗證了演算法的可行性，該演算法在採集到的30餘組粘連和缺損細胞上進行了驗證，結果表明，該演算法處理速度快，分割效果良好。
  2. It is determined that with accurate knowledge of the complete stress - strain curve of concrete in compression, steel in tension, and with an iterative computerized non ? linear method, it is possible to predict the entire moment - curvature, moment - flexural rigidity and axial rigidity relation ship of a cross - section of a structure member

    可以確定，只要知道混凝土受壓和鋼筋受拉的完整的應力應變關系，採用選代的非線性計算方法，就有可能預測結構截面彎矩一曲率、彎矩一彎曲剛度和軸向剛度的關系。
  3. And then, in this part, following the idea of topping [ 51, 52 ], we will show an isoperimetric inequality ( 6. 3. 1 ) on surfaces of non - positive gaussian curvature by means of the curve shortening flow on surfaces, this inequality can be considered as a generalization of the banchoff - pohl inequality in the euclidean plane

    然後，仿照topping [ 51 ]和[ 52 ]利用平均曲率流證明等周不等式的想法，我們利用曲面上的曲線縮短流在gauss曲率非正的曲面上證明了一個等周不等式（ 6
  4. In auto smooth method, we use the curvature and depth analysis to look for " bad point " automatically, and take the latitudinal curve to modify the surface ; referring to the tech of image processing, we import a interactive method to smooth surface based on image smoothing

    在自動光順方法中，利用曲率分析及深度分析自動尋找「壞點」並採用緯向曲線重生成的方法予以修正；結合圖像處理的內容，引入了基於圖像平滑的互動式曲面光順方法，取得了滿意的效果。
  5. Presents a new method of constructing boundary conditions for nurbs interpolotion, which makes it unnecessary to know the deriratives of curve ends, and solves the problem of zero curvature at curve ends, and enables designers to control the shape of the two end segments of curve easily and freely by simply adjusting the curvature coefficients and discusses the influences of curvature coeffients on the shape of the end segments of curve

    提出一種新的用於nurbs曲線插值的構造邊界條件的方法.該方法不需要已知曲線端點的切矢，並且解決了端點曲率為零的問題;它使得設計者可以通過簡單地調整首末端點曲率參數便可以隨意地且很容易地控制曲線首末兩段曲線的形狀.最後還討論了曲率參數的取值對曲線端部形狀的影響
  6. From 1990 ' s, sapidis and others had some studies on quadratic bezier curve ' s curvature monotony and they get this curve ' s sufficient and necessary condition of curvature monotony, but the condition is some strict. in 1998, minerur and some researchers brought forward a high degree curve ' s sufficient condition of curvature monotony. in 2000, wang w. l

    從90年代起， sapidis等人對二次b zier曲線的曲率單調性問題進行了研究，得到了曲率單調的充要條件，其條件比較苛刻； 1998年minerur等人提出了一種高次曲線曲率單調的充分條件； 2000年王玉林等人對二次有理b zier曲線曲率單調進行了研究，得到了充要條件。
  7. In general, the upward amplitude curve " curvature is larger, and it changes quicker. on the contrary, the downward is smaller and slower ; because the flare force contains the square of the wave elevation velocity, it results in an difference between the flare force frequence and the associated moving frequence ; the flare force decreases the downward amplitude of heaving oscillations ; the speed of ship has an ignorant effect on the peak values of three calculated values, but there is an obvious effect on the oscillating frequence ; the wave amplitude has an effect on the ship motion, and there is an linear relation between the oscillating amplitude and the wave amplitude on the whole. by the way, there are some experiences and lessons according to the progress calculation : before the calculation of the ship motion, we should checkout the balance in a calm water firstly, namely, the whole displace of ship and the longitudinal position of the center of gravity must be consistent with the draft in calm water, or else, the calculation may show the " floating " phenomenon ; the mixed language programming has a lot of virtues, but it exists a fatal limitation - the debug of dll

    研究表明：在某些頻率范圍內相關水動力系數基本不隨吃水變化，只有超過某一頻率后水動力系數的值才會出現差異；在橫搖方向，水動力系數並沒有隨著吃水的變化發生規則變化，而是出現了波動現象；近船首剖面的水動力系數計算表明，水動力系數的波動非常大，並遠遠偏離了平均位置的水動力系數值，值的變化速率也不盡相同，總的看來，上振幅曲線曲率較大，變化較快，下振幅曲線曲率較小，變化較慢；外飄力和波面運動的速度的平方項有關，導致其振動頻率和相應運動方向的頻率不同；外飄力使升沉向下運動的幅值減小；船速對三個計算量的峰值影響甚微，但對振動頻率有明顯影響；波幅對船舶運動的影響是明顯的，船舶運動的幅值基本上和波幅成線性關系。
  8. 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。
  9. 3. according to the spline theory we presented a shape matching algorithm based on the similarity matrix of curvature and torsion values of 3d curve, we reduced the 3 - d curve matching task into a 1 - d string matching problem, which makes the matching more veracious and can be used on the 2d or 3d curve matching. in order to reduce the cost of matching, we used multiple scale technique

    依據樣條曲線的基本理論，研究了基於b樣條的輪廓曲線的匹配方法，給出了由輪廓曲線不變量曲率和撓率構造的相似不變量的選取以及基於相似矩陣的匹配演算法，並對該演算法的時間復雜度作了估計，同時，將多尺度技術引入到物體輪廓的匹配問題中。
  10. As when you refine a point curve, refining a sweep can change the curvature of the surface slightly

    細化點曲線時，細化掃描會稍微更改曲面的曲率。
  11. 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
  12. Secondly, the problem of the curve - surface mutual transforming and smooth - finishing have been analyzed farther. for the surface intersecting problem : owing to the introduction of the boundary points, as long as the intersecting points on a certain line, the full intersecting line can be gained. the intersecting line either intersects at the boundary of the triangle surface or forms the loop ; during the course of tracking, the selecting of the pace is restricted by the curvature, the number of the gained intersecting points are not in proportion as the chord - length ; the intersecting points not only record the coordinate and store the parameter

    對兩曲面求交問題，當曲面細化足夠小時，曲面求交可近似看成曲面與平面相交問題，引進了邊界點的概念，因此只要知道交線上的任意點，就可以將跨越許多曲面片的整條交線計算出來，所求出的交線或者跨越曲面的邊界，或者形成交線環；從初始點出發跟蹤求解整條交線的過程中，步長的選擇採用了通過曲面片曲率來約束的方法，用該方法求出的交點在不同曲面片上的分佈數目不與弦長成正比；該求交方法包含了各曲面片的邊界線與交線的交點的求解，可獲得邊界交點的坐標值及其參數值。
  13. This method gives a mechanical meaning to the curvature of a curve, just because of that, more research can be done on the problem of curvature representation based curve recognition

    這種方法為曲線的曲率賦予了明確的力學意義，從而使曲線在曲率表示下的形狀識別技術得到了更為深入的研究。
  14. The methods that represent geometry elements such as line, circle and arc, plan, cylinder, cone and sphere in nurbs form are studied. meanwhile, the calculating process that interpose to nurbs curve and surface are advanced. to the processed surface, the paper brings forward a method to distill its character ( plan, cylinder and sphere ) by the main curvature of surface using its local differential coefficient geometry characteristic

    對nurbs的直線、圓和圓弧、平面、柱面和球面等的表示方法作了理論研究，同時對nurbs曲線曲面的進行插值的計算，插值后的nurbs曲面，利用其表面局部微分幾何特性，提出依據曲面的主曲率來提取特徵面（平面、柱面和球面）的方法。
  15. Based on the theory of thin - walled curved bar, reasonable hypothesized a third - ord parabolic curve, the paper adoptes variational method on energy, taking the coupled relationship of the effect of curvature radius, bend, torsion and shear - lag into consideration, establishes the elastic governing differential equation and boundary conditions for thin - walled curved box girders, which set the foundation of theoretical analysis of shear - lag effect in thin - walled curved box girders

    摘要文章以薄壁曲桿理論為基礎，合理地假設了三個剪力滯翹曲位移函數，應用能量變分法推導出考慮曲率半徑影響、彎、扭、剪力滯耦合的曲線箱梁彈性控制微分方程及其邊界條件，為薄壁大麴率箱梁剪滯效應建立了理論分析基礎。
  16. Curvature of a curve

    曲線的曲率
  17. This paper proposes a new algorithm for curvature calculation at discrete points, considering both total revolving and partial twisting of the fbg sensors in order to enhance the curve - fitting accuracy

    該文提出了一種在光纖光柵傳感器基材整體旋轉或扭轉情況下得到離散點曲率的演算法，從而提高重建精度。
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