拟合曲线

3D reconstruction is one of the most challenging problems in computer vision. This project uses CAD model to increase the accuracy,robustness and speed of 3D reconstruction and five different works are conducted: 1 research on space curve 3D reconstruction method based on high curvature point nad turning point; 2 free-form curve 3D reconstruction based on B-spline and BURBS; 3 Active surface affine reconstruction based on single frame; 4 Matching and reconstruction of 3D sparse points; Data fitting method based on the iteration of nearest point.

三维重建是计算机视觉中公认的难题，本项目使用CAD模型来提高三维重建的精度、稳健性和速度的思路，围绕着空间曲线和曲面的三维重建和匹配开展了以下五个方面的研究：1）基于高曲率点和拐点分割的空间曲线三维重建方法研究；2）基于B样条和NURBS表示的空间自由曲线三维重建方法研究；3）基于单帧图像的有源曲面仿射重建；4）三维离散数据的匹配与重建；5）基于迭代最近点的数据拟合方法。

Considering the oxidization of the silicon layer at the vacuum boundary,the measured reflectivity curve is well fitted,and the layer thicknesses are matched with the designed one.

在考虑最上层Si的氧化作用后，对测量曲线进行拟合，得到的反射率曲线和膜层厚度分布分别与测试曲线和设计结果相吻合。

Results of landslide displacement curve reveal that the shape of creep curve is very similar to that of part of normal distribution curve.

研究发现它与正态分布曲线非常相似，基于此，首次提出了用修复的正态分布曲线拟合蠕变曲线的方法和模型。

The gray balance curves were obtained by the gray balance function and regression analysis. The main works: The parameters in the mathematic models were ascertained, as well as all the regression functions. The models included the relation between the ink quantity and the solid density, the relation between the gamma and printing contrast, the printing reproduction curves, the dot-gain curves and the dot-gain compensation curves. The fitting accuracies of the regression models were checked out by the correlation coefficient or multiple correlation coefficients. The effect that the ink had on the solid density and the gamma on the printing contrast were analyzed. And the methods of choosing the ink and gamma were gained.

主要工作：确定了墨量与样张实地密度、γ与相对反差、阶调复制曲线、网点扩大曲线以及网点扩大补偿曲线各自数学模型中的参数，得到了回归表达式；得到了各个回归表达式的相关系数或复相关系数，检验了回归模型的拟合程度；分析了墨量对实地密度的影响以及γ对相对反差的影响，并提出了墨量和γ的选取方法；得到了喷墨印刷质量控制的灰平衡控制、网点扩大以及扩大补偿规律。

The effect of flow rates, initial concentrations, resin bed heights, its height/ diameter ratios and temperature on breakthrough curves of sulfuric acid/2-naphthalenesulphonic acid, 2-naphthalenesulphonic acid/sulfurous acid and sulfuric acid/ 2-naphthalenesulphonic acid/sulfurous acid systems was investigated. Excellent agreement was obtained between experimental data and the suggested breakthrough data model, with which the breakthrough curves can be accurately predicted for multi-component adsorptive separation in resin bed, the experiment of adsorptive separation may be scaled up, and the plant may be designed.

考察了流速，初始浓度，床层高度，床层高径比，温度等因素对硫酸-2-萘磺酸，2-萘磺酸-亚硫酸和硫酸-2-萘磺酸-亚硫酸等混合体系穿透曲线的影响，所建立的穿透曲线模型与实验结果拟合较好，模型可较准确预测多组分吸附分离的穿透曲线，可用于指导吸附分离实验的放大以及装置的设计。

Based on the example of turbine reverse engineering , the general procedure that can be used to translate the physical object into CAD datum by Surfacer software is determined in this paper1 By going deep into the vector of point-cloud , it's parametrization can be gained by adopting the precept of accumulating chordal parametrization1 According to the principle of const ructing curve using the least square method , the high quality-curve can be gained by modifying curve's parameter1 This paper also empha2sizes on some methods about processing point-cloud , const ructing curve and const ructing surface1 And it can provide several methods to const ruct high quality2CAD model for mould machining1

此栏目为免费论文，可自行复制获取，如需要其他完整论文，可点击论文范文查找摘要本文就涡轮反求造型的实例，采用Surfacer 软件规划出由实物转化为工程CAD 资料的一般流程。在深入分析点云数据的矢量方向基础上，采用积累弦长参数化方案实现点云的参数化；根据最小二乘法曲线拟合原理，修改曲线参数获得高品质曲线；并重点论述了点云处理、曲线生成、建构曲面的方法，为模具加工提供了建构高品质CAD 模型的有效途径。

Based on the SWCC data in GEO-SLOPE, the SWCC curve was fitted by MATLAB. The suction value of each point on the curve was obtained by programming to estimate the capillary water moving height which needs further research.

在利用GEO-SLOPE软件的土水特征曲线的数据的基础上，结合MATLAB软件对曲线进行了拟合，通过简单的编程计算出了曲线上点的大致的吸力值可以估算毛细水的上升高度。

Based on the experimental results and adopting the most common used method, the coefficient of cyclic properties and curve of fatigue life versus strain of LCF of 3OCr2MoV were drawn. Comparisons between experimental results and similar curves were made.

采用最通用的疲劳估算方法拟合出了30Cr2MoV转子钢的常温和高温550℃下的低周疲劳参数和循环应力-应变曲线以及低周疲劳寿命曲线，并将试验结果与同类曲线进行了比较。3。

With minimizing the move distance as the optimization objective, the circular curve radius and circle center coordinate were then optimized, the transition curve length, the move distance of each measured points, the mileages and the coordinates of the feature points and so on were further computed.

首先利用坐标法计算各测点的坐标，再计算正矢，然后根据正矢的变化规律选定圆曲线上的测点，用最小二乘法拟合出既有线圆曲线的半径和圆心坐标，并以拨正量最小为优化目标，优化圆曲线半径及圆心，进而计算出缓和曲线的长度、各测点的拨正量、特征点的里程和坐标等。

The energy which drives the evolution of a curve is constructed based on local image information,the alignment term enhances the speed of curve evolution,and the improved data fitting term which is based on the competition between of the shifted Heaviside functions,makes the curve converge to a better global stationary minimum.

该算法基于图像局部化信息创建驱动曲线演化的能量，引入的配准项提高了曲线的演化速度，基于曲线演化竞争的数据拟合项，使得曲线能更稳定地收敛到一个全局静态最小值，且算法对水平集函数初始化位置不敏感。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。