curvature of curve 中文意思是什麼
curvature of curve
解釋
曲線的曲率-
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。 -
The relation of radius of curvature and error as well as formulas of increasing parameters on condition of constant error are diverted. the equation of the line on the center of approximate circular arc is obtained ， and it can avoids the trouble that numerical solution owns possibility of no convergence and simplifies node calculation of non - circular curve
導出了曲率半徑與逼近誤差之間的關系和等誤差條件下的參數遞推公式，建立了通過逼近圓弧圓心的直線方程和圓心坐標計算公式.按這種方法用圓弧逼近平面參數曲線，不需要求解非線性方程組，避免了計算可能不收斂的麻煩，簡化了非圓曲線的節點計算過程 -
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。 -
First, using strip - partitoning method and programming in matlab language, the numerical caculations of the relation curve between moment and curvature are done for the beams strengthened with non - prestressed and pretressed cfrp sheets, base on the assumption of plane section, non - bonding slip and non - peeled destroy. secondly, nolinear finite elemeant analysis by ansys are done for the beams strengthened with prestressed cfrp sheets base on the three assumptions before mentioned, the analysis are all done for the relation curve between load and displacement, the distribution of material stress, the distribution of cracks. lastly, calculation formula of flexural capacity and deflection are proposed
）的全過程關系曲線。其次基於上面的三個假定，選擇合理的本構關系，利用ansys通用有限元分析程序對預應力碳纖維布加固梁進行非線性有限元分析，分析了加固梁的荷載-撓度關系、材料的應力情況、裂縫的分佈情況等。最後提出了承載力計算公式和正常使用狀態下撓度計算公式。 -
The thesis tells surface analysis method including curvature analysis and curve depth analysis that we using in the skin restoring project. in chapter 2, it tells the definition of b - spline curve and surface and the fundamental algorithm - de boor algorithm for points of curve and surface. as to reconstruct surface from ct data, we discuss some basic algorithm and introduce the wrapping skin algorithm
在第二章中，介紹了b樣條曲線曲面的定義及基本演算法- -求曲線曲面點的德布爾演算法；基於ct數據的曲面重構，討論了重構過程中所應用到的基本演算法（如節點插入及消去演算法、曲線的反算方法等） ，並介紹了曲面重構中常用的蒙皮法。 -
Two classes of developable surfaces with any c - b zier curve as curvature curve and geodesic curve respectively are constructed
Zier曲線為該可展曲面的曲率線和測地線。六、以上提出的c - b -
Established the system of coordinates of roll testing, getting the parameters of equation of tooth face by solving the non - linear equations set ; according to the differential geometry and meshing principle, deduce the curvature parameters of tooth face and tooth profile, and get the parameters of instantaneous contact ellipse. emulate the contact trace and contact area of the working tooth face, and drawing the instantaneous drive ratio error curve
建立了克林貝格擺線齒錐齒輪嚙合分析的對滾模型，通過對非線性方程組的迭代求解，得到齒面方程的各個參數;由微分幾何和切齒嚙合原理推導了齒面上齒廓和齒線方向的曲率參數，得到了瞬時接觸橢圓的參數。根據設計參數和機床調整參數繪制了工作齒面的接觸軌跡和接觸區圖形，並求得了瞬時傳動比的誤差曲線。 -
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 -
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。 -
The result shows that the sufficient and necessary condition of the quadratic rational b - spline curve ' s curvature monotony is similar to the quadratic rational bezier curves ", but its condition is some different from the quadratic rational bezier curves " curve ' s rendering algorithm is an important content in computer graphics, cad
曲線的生成演算法是計算機圖形學的重要內容。對於一些基本曲線，如直線，圓，橢圓等，都有快速生成演算法，如畫直線的bresenham演算法， dda演算法，畫圓的bresenham演算法，中點法，正負法， pitterway的橢圓及拋物線繪制演算法等等。 -
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 -
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。 -
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。 -
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。 -
Studying on simplification algorithms of " points cloud " data, putting forward three kinds of simplification algorithms of " points cloud " data according to the point number of data set after simplification and the density of data set and the uniformation of curvature change at control point by b spline curve interporlation
簡化「點雲」數據演算法的研究，提出了按指定數據集點的個數、按數據集點的密度閾值和按b樣條曲線插值型值點處曲率變化是否均勻簡化「點雲」數據的三種演算法。 3 -
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。 -
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。 -
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。 -
Curvature of a curve
曲線的曲率 -
Because of the arithmetic having considered the annotation width and the degree of curvature of curve, the distribution of height annotation more even, the arrangement more order and the amount more mezzo of contour
由於該演算法同時考慮了注記寬度和曲線的彎曲度，因而與其他演算法相比，等高線高程自動注記分佈均勻合理，排列整齊，數量適中。
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