curvature of surface 中文意思是什麼
curvature of surface
解釋
曲面的曲率-
The quantities baβ are the covariant components of a plane tensor, called the curvature tensor of the surface.
ba是「平面張量」的協變分量，叫做該曲面的曲率張量。 -
The paper studies the surface geometry of globoidal indexing cam by applying the theory of conjugate surfaces and the method of coordinate transformation, presents the equations related to the main inducement curvature of the cam profiles, analysis and deduces the equations of two circumscription curves, which judge if the conjugate surface could mesh properly. some calculate examples and conclusion are given. the surface equation of the globoidal cam and conjugate equation are established
論文首先在分析空間嚙合原理基礎上，採用坐標變換法推導出弧面分度凸輪的工作廓面方程、嚙合方程和壓力角計算公式，對弧面分度凸輪的嚙合特性進行了深入的分析和研究，對判斷曲面能否正確嚙合的依據如兩類界限線方程以及誘導主曲率等進行推導，並給出算例。 -
Methods ： fifty paired embalmed cadaveric humeri ( twenty - five pairs : fourteen from male donors and eleven from female donors ) were scanned in medial - lateral ( ml ) and anterior - posterior ( ap ) position according to the humeral retroversion by ct. images of the humeri in the transverse planes at the lowest border of neck ( lbn ), 20mm and 40mm distal of lbn ( lbn - 20 、 lbn - 40 ), isthmus, head - neck anterior - posterior ( hn - ap ) were obtained. sixty - one extracortical and intracortical parameters were measured exactly by image analytic computer software that included offset, head position, head - shaft angle, head to tuberosity height ( ht ), head thickness, curvature radius, articular surface arc ( sa ), neck diameter, isthmus position, proximal and distal border of isthmus, maximum coronal and sagittal diameter of medullary canal and thickness of cortical bone in four planes, including lbn, lbn - 20, lbn - 40 and isthmus
方法： 50根成對防腐肱骨（男14對，女11對）按肱骨頭扭轉角置於冠狀位和矢狀位，行肱骨全長，頭頸矢狀面，解剖頸下緣及其下20mm 、 40mm ，髓腔狹窄部四平面ct掃描，由ct軟體測量冠、矢狀位髓腔內外參數共61項，包括頭心?干軸距，頭位置，頭干角，頭?結節高度差，頭厚度，頭半徑，關節面張角，解剖頸直徑，髓腔狹窄部位置，解剖頸下緣及其下20mm 、 40mm和狹窄部四個平面髓腔的最大冠、矢狀徑，皮質骨厚度等。 -
4. on the base of deep discussing about spaceborne sar operation, we present an approach to acquire the target location plane by satellite position and platform attitude, then to locate the target consistent with the earth surface curvature
論文在深入研究星載雷達實際工作狀況的基礎上，提出了一種由衛星位置和平臺姿態獲得衛星與目標所在的定位平面，再根據目標所在地面的彎曲狀況以及衛星到目標的距離確定目標位置的方法。 -
According to the differential geometry theory, the principle curvatures and principle relative curvature of the spur gear and the fg in line contact and point contact, the tooth surface relative speed and the tooth contact interface are analyzed, whose distributing on the tooth surface are visualized by computer
在齒面的幾何特性研究中，利用微分幾何的原理分析了圓柱齒輪和面齒輪的齒面曲率、線接觸和點接觸面齒輪傳動的主誘導法曲率以及嚙合過程中齒面的相對速度和接觸區域計算問題，並獲得有益的結論。 -
Basically like “ adaptive approach ”, the method can control triangulation density with respect to the change of normal curvature of the surface generating a small number of triangular facets, and thiny triangles, degenerate triangles and “ cracks ” in 3d space will not occur, but the speed of the algorithm is higher than that of adaptive one
該方法基本上可以像「自適應」方法一樣，根據曲面的法曲率變化來控制三角化剖分的密度，生成的三角片數量較少，並且可以避免在三維空間產生狹長的三角形、退化三角形與「裂縫」 ，運行速度明顯比自適應方法快。 -
The convergence of error brought about by the curvature of earth's surface obviously has no counterpart in free space.
地球表面曲率產生的誤差是收斂的，顯然，在自由空間沒有類似的情況。 -
The study showed that the effect of surface tension induced by the nanosize curvature of critical nuclei could drive metastable phase region of diamond nucleation in carbon diagram into stable phase region, consequently, for both of homogenous and heterogeneous nucleation processes, diamond nucleation would be prior to graphite nucleation in competing growth of diamond and graphite upon chemical vapor deposition ( cvd )
研究表明，建立在碳的平衡相圖基礎上，在納米尺寸的金剛石臨界核的曲率誘導下的表面張力效應將金剛石成核的亞穩相區推進到穩定相區，因此無論對于金剛石的均勻氣相成核還是異質成核，在金剛石和石墨的競爭生長中，金剛石成核均優先於石墨成核。 -
In this paper, we take the reconstruction of surface of revolution as our main aim, and by using the delaunay triangulation, the definition of curvature and the theory of b - spline, we present a way of reconstructing surface of revolution from point cloud. the main content of this paper is given in the following. computer aided geometric design and reverse engineering are the basis of this article
本文以旋轉面重建演算法為主要研究對象，應用三角部分、曲率的定義以及b樣條理論提出了一種由點雲數據構造旋轉面的方法，主要工作如下：計算機輔助幾何設計以及反向工程是本文的理論基礎，因此論文的第一章對其進行了簡短的回顧和綜述，並給出了旋轉面重建演算法目前的研究狀況。 -
Because the curvature of surface itself may vary in a large domain, it induces an upper limit of feasible offset distance. the author proposed a method to estimate the offset distance
由於曲面本身曲率變化，導致曲面可等距距離存在一個上限，本文通過對細分曲面進行分析，給出了一種細分曲面可等距距離的估計演算法。 -
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。 -
In the second part, we investigate the compact submanifolds m with the parallel isoperimetric section in the real space forms rm ( c ) and prove that if there exists a parallel isoperimetric section on m, and the sectional curvature of m is always greater than zero, then m is contained in a hyper - sphere ; and get that the gauss curvature of the compact surfaces m with constant mean curvature in constant curvature space r4 ( c ) is always greater than zero, then m is a totally geodesic surface or a sphere, where an isoperimetric on m means a unit normal vector field defined globally on m with m1 ( ) = constant
（ 2 ）研究了實空間形式r ~ m （ c ）中具有平行等參截面的緊致子流形m ，證明了具有一平行等參截面的子流形m ，如果m的截面曲率恆正，則m包含在r ~ m （ c ）的一個超球面內；對于常曲率空間及r ~ 4 （ c ）中具有常平均曲率的緊致曲面m ，如果m的高斯曲率處處大於零，則m或為r ~ m （ c ）中的全測地曲面或為一球面。這里m上的等參截面是m上整體定義的單位法向量場，使得m關於它的平均曲率m _ 1 （ ）是常數。 -
To calculate the actual curvature of the surface at a given point, the two vectors must be multiplied by each other
去計算在一個表面上給定點的實際曲率，兩個向量必須互相乘。 -
The sixth chapter discusses the method for space transformation, which considers the curvature of the earth surface. the author first demonstrates that it is necessary to use ellipsoidal model for the system and educes the transform formula
第六章討論了考慮到地球曲率情況下的精確空間對齊問題。這一章中首先論證了應用大地橢球模型的必要性，然後推導出橢球面上的局部坐標間的坐標轉換公式。 -
The latest research shows that bubble walls move as a result of surface tension and the speed at which they move is related to the curvature of the bubbles
最近的研究顯示水泡壁的運動是表面張力的結果，水泡的運動速度和水泡的曲度有關。 -
Taking the meshing theory of conjugate curved surface as a foundation, utilizing array method of rotation transformation of vector, the meshing equation and contour surface equation of conical cam mechanism with swinging conical roller follower were analyzed and derived, and the calculation formula of pressure angle and synthetic curvature of the mechanism was presented, thus laid a solid theoretical foundation for enhancing the machining accuracy of conical cam, improving its processing method and achieved the integration of cam cad / cam
摘要以共軛曲面嚙合理論為基礎，運用矢量的旋轉變換矩陣法，分析並推導了圓錐滾子擺動從動件圓錐凸輪機構的嚙合方程和廓面方程，並給出了機構的壓力角和綜合曲率的計算公式，為圓錐凸輪加工精度的提高，改進其加工方法，實現凸輪cad / cam一體化奠定了堅實的理論基礎。 -
Curvature of surface
曲面的曲率 -
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。 -
A method for complicated planar contour fitting is presented : 1 ) first all the data points used in the contour are ordered ; 2 ) after calculating the curvature of each contour point, the points with bigger curvature are taken as feature points ; 3 ) the contour is segmented by feature points ; 4 ) the contour is globally constructed through determining the segments types ( line or circle ) and the constraints with the neighbor segments ? the generation of skin surface is realized with the interface of caa
研究了基於點雲數據的復雜截面線生成技術： 1 ）對輪廓數據點進行排序； 2 ）近似計算輪廓數據點處的曲率，取出曲率較大的數據點，並定義取出的數據點為特徵點； 3 ）以特徵點為分界點對輪廓數據點進行分段： 4 ）判斷分段數據點確定的曲線類型和各分段曲線之間的約束關系，進行基於約束的分段平面輪廓曲線整體擬合。 -
Deformations of constant mean curvature one surface in h
3中平均曲率為1的曲面的形變
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