If there is a previous line or curve segment in the figure , a line is added to connect the endpoint of the previous segment to the starting point of the cubic curve 如果图形中已有一段直线段或曲线段，则添加一段直线连接已有线段的终结点和立方曲线的起始点。
The research includes following parts : 1 . online signature verification based on improved dynamic time warping and the elastic matching of 1d curve segments 本文对联机手写签名鉴别技术进行研究,主要研究内容包括: 1 .基于改进动态时间规整和一维曲线段弹性匹配的联机手写签名鉴别。
In the third chapter , we present a class of c2 - continuous spline curves of degree 4 with some shape parameter . the segmented curves are all shape preserving to given polygon 第三章提出一类c ~ -连续的带有形状参数的四次样条曲线，曲线上的所有曲线段的控制顶点由给定多边形的顶点直接计算产生。
In this model , the deformed active contour is represented by the cubic b - spline curve segments which are restricted by the control points , and the control points are applied to the calculation of dp algorithm , in the end the contour of image is found 该模型采用控制点控制的三次b样条曲线段来表示活动轮廓，然后将控制点代入动态规划法求解，从而实现对图像的轮廓提取。
Finally , the simulation of the dynamic suspending stability on the linear guideway is carried out . the dynamic response of the chassis system running on the transition curve based on the iron and concrete material guideway curve are separately and comparatively studied 最后利用仿真方法研究了直线段单转向架悬浮控制系统的悬浮稳定性,以及转向架系统在钢轨和砼轨两种缓和曲线段运行的动态响应情况。
They not only inherit the advantages of bezier curves and b - spline curves , also can be used to represent straight lines precisely and some remarkable transcendental curves precisely , such as circular arc , ellipse , cardioids and twisted pair line etc . especially , the uniform t - b - spline curve of three degrees is smoother than b - spline curve and c - b - spline curve of the same order 此外由于它们还具有三角函数的优点，故既可以精确表示直线段、二次多项式曲线段又可以精确表示圆弧、椭圆弧等二次曲线以及心脏线、双纽线等超越曲线。特别地， 3次均匀t - b样条曲线曲面比同阶均匀b样条( c - b样条)曲线曲面具有更高的光滑度。
In addition , we often encounter a general problem - it is very difficult to describe a complex shape with a single bezier curve precise . method of bezier definites shape of curve , which is global project . if you locally modify curve , it is necessary to affact the global . it is that method of bezier has character of global control , but it has not charater of local control . by way of arbitrary partition . arbitrary degree elevation , that may increases control point . increases potential active character of controling curve . therefore , the thesis discusses mainly the problem of local free - form deformation , which may make bezier curve deform continuely and gain wanted figures . however , no matter what free - form deformation based on extension factor for parametric curve or arbitrary partition will reduce smoothness of parametric curve 另外，我们经常会遇到一个普遍问题，就是难以用单一的贝齐尔曲线段描述复杂的形状。贝齐尔方法对形状的定义是整体方案，欲对其作局部修改，必然会影响到整体，即贝齐尔方法是有整体控制性质，但却缺乏局部控制性质。通过任意分割和任意升阶得出所要变形的一段，以及增加控制点，增加对曲线进行控制的潜在灵活性。
This thesis is not only discussing and analyzing mathematically the working principle of y type reflection fiber optic detector , but also deducing the fundamental calculating formula of reflection light intensity , and drawing the displacement - responding sensitivity curve . this thesis also points out the three characteristics curves corresponding to the detections in tiny displacement , biggish displacement , and superficial roughness . these are very creative and completely valuable in practicality 按题目要求，论文对y型反射式光纤探头的工作原理进行了初步探讨和数学分析，推导出反射光的基本计算公式，绘出了位移- -响应灵敏度曲线，并指出y型反射式光纤探头进行微小位移、较大位移、表面粗糙度测试时对应的三个特征曲线段，具有创新之处和实用价值。
Simulation result shows our approach can highly improve the connectivity and the accuracy of the image boundaries quickly and easily . ideally , the methods discussed in the previous section should yield pixels lying only on edges . edge connection is an important post - process technique of image edge extraction and image segmentation 完成边缘点的检测后,为了得到能够表现物体基元的边缘链,我们需要进行边缘连接的工作? ?将边缘点连接成有意义的直线或曲线段,得到物体外部的闭合轮廓,进行图像分割。
In the paper the initial iocation and dimension of step are studied from which we get the conclusion tha the energy dissipation is highcr if the initial location is at the curve section of l / 2 height of the spillway top and the dimension gap of neighbor step is bigger , the energy dissipation is higher 通过对阶梯溢流坝的过渡阶梯的起始位置和具体尺寸的试验研究。得出过渡阶梯的最佳起始位置约在坝顶曲线段1 2高度处且相邻阶梯的尺寸相差较大时，所得的消能率较高。
