查询词典 spline

This is the computer graphics B-spline algorithm.

这是计算机图形学的B样条算法。

In this paper, an error concealment method was proposed based on cubic B-spline interpolation.

针对这一问题，提出了一种基于三次B样条插值的错误隐藏算法。

In Chapter 1,some elementary knowledge was introduced,such as theBernstein-Bezier representation for polynomials,conform triangulation,theconditions of convexity for Bézier spline surfaces,the funtional andgeometric continuity condition for neibour Bézier surface patches etc.,specially,based on the Liu-Ding-Yuan Theorem for geometric continuity,some simple and practical conditions were obtained.

第一章介绍一些基本知识，如多项式的Bernstein-Bézier表示，相容三角剖分的定义，Bézier三角样条曲面保凸的条件，相邻Bézier曲面片函数连续和几何连续的条件等，特别地，在刘鼎元关于几何连续条件的一般定理的基础上，导出了几个较简单的实用的一阶几何连续条件。

Conics or smooth 3D B-spline curve can be drawn freely and quickly.

并在点云表面高效地绘制出二次曲线或者平滑的B样条曲线。

Unlike previous approaches that use a single conic as proxy surface in the optimization phase, our method use multiple segments of conic to further reduce the error and guarantee C0 continuity between the conics in the same cone spline surface.

不同於旧有的方法利用单一的圆锥曲面，我们利用多段的圆锥曲面拟合网格以降低误差，并保证同一区块内，圆锥之间的C0连续性，因此我们的演算法可以利用较少的区块，来更精确的拟合网格。

Bridge ; moving load ; identification ; parametric analysis ; simply supported girder ; multi-span continuous girder ; spline approximation method

桥梁；移动荷载；识别；参数分析；简支梁；连续梁；样条函数逼近法

In our work, a new continuous thermodynamics method for petroleum fraction phase equilibrium calculation has been proposed, in which true boiling point distillation curves for petroleum fractions were considered to be a continuous distribution function and the distribution variable was TBP temperature, and at the same time, a spline method was used in the distribution function calculation.

在以上工作的基础上，建立了具有普遍实用性的常压塔精馏计算的数学模型，并对多个工业装置进行了实际的模拟，模拟结果与装置的实际情况符合良好，在预测塔的抽出温度，抽出产品的性质，以及各个侧线产品收率等方面都得到满意的结果。

Firstly, we prove that if we select nodes properly, and let the distance between these nodes sufficiently small, cubic polynomial spline can approximate a continuously differentiable function, which with continuous derivatives of second order and discontinuity of the first kind in the derivatives of fourth order, to any desirable accuracy. This result lays a theoretical foundation for representing trajectories by splines and double orthogonal basis.

一是证明了适当选取节点并使节点距充分小时，三次多项式样条可以逼近具有二次连续导数的分段四次连续可微函数到足够的精度，这一结论为用样条和双正交基表示弹道打下了理论基础。

According to the hypothesis of continuum, a tube with the corner strengthened is gained to make an equal of the frame-tube. B3-spline functions and parabola functions are applied to simulate the displacement functions of the frame-tube. The system of equations about the undetermined coefficients of displacement functions is deduced by using energy-variational principle, by solving which the displacement of the frame-tube is gained. Then the internal forces in the columns and beams of the former frame-tube are obtained according to the principles of elasticity mechanics.

根据连续化假设将框筒等效为角部加强筒体，将三次样条函数与抛物线函数结合假定框筒的位移函数，运用能量变分原理推导出了关于位移函数待定系数的方程组，解得位移函数待定系数进而解得框筒的位移，再根据弹性力学原理确定原框筒中梁柱的内力。

Degree B-Spline curve is chosen to fit the longitudinal settlement curves, which solves the problem of curvature continuum for joint notes due to its continuous second derivative vector and overcomes the efficiency and accuracy of computing curvature with 3 points by hand.

选取三次B样条方法对隧道纵向累计沉降曲线进行拟合，利用三次B样条曲线二阶导矢连续的特性，解决了拟合曲线在曲线连接点处曲率的连续性问题，克服了以往人工计算隧道曲率半径在效率和准确性方面的缺陷；并在此基础上，推导了隧道纵向变形曲率与纵向螺栓拉应力、相对弯曲与纵向螺栓剪应力之间的关系； 3。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。