从分析中发现，在插补算法中加入对曲线曲率的考虑，可以减小插补的弓高误差。
It is discovered that the interpolation error can be greatly decreased by considering the curvature of the curve in interpolation algorithm.
在传统光顺算法的基础上，提出了以曲线曲率极值的均方差作为衡量曲线光顺的指标之一。
On the basis of traditional fairing algorithm, the curvature extremum of curve is used as one of the indices judging the curve fairing.
双曲表面，即通常所称的负曲率，因为它的表面曲线同时有的向上和有的向下，像一个马鞍，也许这样就可以代表宇宙的形状。
The hyperbolic surface, which has so-called negative curvature because its surface curves up and down at the same time, like a saddle, just might represent the shape of the universe.
提到这里的曲率图。正如一种方式，以确保曲线并不过于复杂。
Mention Curvature Graph here. Just as a way to make sure curves are not too complicated.
在不能填充曲率单调的单拐曲线弧的情况，给出一个计算曲率极值点的曲率的公式。
Besides, If it can not fill a rotated cubic arc of monotonic curvature, the method for computing extreme value of curvature is given.
提出一种新的轮廓特征点提取方法，它利用最小二乘法拟合轮廓曲线，结合斜率、曲率信息提取特征点。
A new feature-points extraction algorithm is proposed, which USES least square method fitting contour curve and combines slope, curvature information to extract feature-points.
新方法具有计算量小，所得到的延伸曲线曲面更为光顺，并且具有更小的应变能和曲率变化率的优点。
The new method is calculated simply, the extended curve and surface is more fairing, and have less energy and more smooth curvature variation.
缓和曲线推出，即曲率变化，稳步形成一条直线，以达到预期的半径。
Easement curve was introduced, whereby curvature changes steadily form a straight line to the desired radius.
探讨了三类实现曲线演化的曲率运动方程的数值计算方案：显示方案、半隐式方案和中值滤波方法。
Three numerical calculating schemes of realizing the curvature motion formula in curve evolving are discussed, including explicit scheme, semi-implicit scheme and median filter scheme.
动力学数值仿真的结果表明，对小曲率柔性曲线梁，其横向变形比纵向变形大得多。
The dynamic numerical simulation results show that the transverse deflection is much greater than the longitudinal deflection for the flexible curve beam with small curvature.
本文介绍了一种简单实用的焊接刚性轨道，以解决曲线焊缝的质量问题，降低了生产成本，特别适用于刚性大曲率小的构件。
A simple and practical rigid track for welding is presented to solve the quality of curved weldments. The guide is especially suitable for welding of high curvature scams.
利用这种方法得到的曲线不仅具有较小的应变能，而且曲率变化比较均匀，具有很好的光顺效果。
The curve faired by this method tends to possesses smaller strain energy and rather uniform changes in curvatures.
结果表明：(1)零曲率点是实验曲线上的一个特征点，新准则是一种不含任意人为系数的客观准则。
It is concluded that: (1) the zero-curvature point is a characteristic point of the experimental curve and that the new criterion is an objective criterion without any artificial coefficient.
提出了一种应用于非开挖管线测量，在已知离散点曲率的情况下进行空间曲线重构的方法。
A reconstruction method of using the discrete curvature data for space curve was proposed on underground pipeline detection.
在测量既有铁路曲线时，传统的测量方式是偏角法，计算曲率和拨距的方法是渐伸线法。
The traditional method to measure the curves in exiting railway is the method of deflection Angle, while the method to calculate the curvatures and the deflection distance is the involute method.
细化点曲线时，细化扫描会稍微更改曲面的曲率。
As when you refine a point curve, refining a sweep can change the curvature of the surface slightly.
经典微分几何研究三维欧氏空间中曲线曲面理论，其最具有特色的研究是主曲率函数满足某些关系的魏因加吞曲面。
In the classical differential geometry which deals with the theory of curves and surfaces of three dimensional Euclidean space, the most distinctive study is the Weingarten surface.
人们通常用有理三次曲线样条来构造整体曲率连续的曲线。
As for curvature continuity curves, they are usually constructed by means of rational cubic curves.
提出用离散曲率法提取特征点，曲率表达式包含了高斯核函数曲线，选用了合适的离散尺度因子。
The discrete curvature arithmetic was used to extract feature points, which the curvature expression contains Gaussian nuclear function and chooses appropriate discrete scale factor.
提出利用有理二次样条曲线插值整体曲率连续的曲线的一种方法。
A method for interpolating global curvature continuity curves with conic segments is presented in this paper.
它不仅影响机构的压力角，而且还影响其轮廓曲线的曲率半径。
It influences not only the pressure Angle of mechanism, but also the curvature of earn contoUrs.
研究了用圆弧曲率估算截面数据离散曲率的方法和特征点提取方法，提出了基于曲线拟合的截面特征识别方法。
Other preprocessing methods such as discrete curvature estimation and feature point extraction are also studied, and a section-feature recognition algorithm, based on curve fitting, is proposed.
对在线测量的数据进行曲线拟合，求解出最大初始曲率、最大初始曲率对应的位置及最大变形量。
The maximal initial curvature and its relevant location and maximal distortion can be gotten by numerical curve fitting after on-line measurement.
结果表明：铅芯橡胶支座不仅可以有效地降低曲线梁桥的地震响应，还有助于减少曲率半径对曲线梁桥地震响应的影响。
The results show that the seismic response of curved beam bridge and the influence of curvature radius can be reduced by using lead rubber bearing.
除对使用荷载阶段进行研究和给出计算的结果外，也给出弯矩-曲率全曲线和极限变形的计算。
Besides the research and calculation materials for the stage of working load, the complete moment-curvature curve and the calculation of ultimate deformations are provided too.
利用电子计算机对弯矩—曲率曲线全过程作了理论分析，并与试验结果进行了比较，两者比较接近。
The complete moment-curvature curves are obtained from theoretical analysis by using electronic computer, and they are almost in agreement with the experimental curves.
变曲率导致曲线梁变形分析更加复杂，寻求简单、可靠的力学模型有利于变曲率曲梁的研究。
Varied curvature makes deformation analysis of curved girder more complex, and seeking simple and reliable mechanics model is of advantage to the study on variable-curvature curved girder.
除了常见的几何测量(如距离和角度)外，提出了一种平均曲率能量的测量方法来描述边界曲线特征。
Besides common geometric measurements such as distances and angles, a new measurement of average curvature energy defined for boundary curve segment is included in the set to describe curve feature.
利用GPS全球定位系统和数字地图提供的道路曲率信息，提出了一种回旋曲线道路曲率平滑算法。
A clothoid curvature smoothing algorithm was presented according to the road curvature information from the GPS system and digital map.
表达式显示斜率法(曲线上斜率为1)和曲率法(曲线上曲率最大)二者所得的MEIFR结果迥异。
It is clearly shown that the results of MEIFR based on curvature technique (corresponding to the maximum curvature) and slope technique (slope being 1) are significantly different.
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