三次曲线

In the first part, depending on three or more images, the main research work are listed as follows:(1) using SVD decomposition to realize projective reconstruction;(2) realizing camera self-calibration by solving Kruppa's equation;(3) recovering Euclidean reconstruction from projective reconstruction. Depending on only two images, the main researches are:(1) making out infinite plane homography matrix by using scene structure information, then recovering affine reconstruction from projective reconstruction;(2) making out the absolute conic images by using scene structure information, and then recovering Euclidean reconstruction from projective reconstruction.

在第一部分中，针对三幅及三幅以上的图像，主要研究：①利用矩阵奇异值分解实现射影重构，②通过求解Kruppa方程实现摄像机自标定，③由射影重构恢复欧氏重构；针对只有两幅图像的情况，主要研究：①利用场景结构信息求解无穷远平面的单应矩阵，由射影重构恢复仿射重构，②利用场景结构信息求解绝对二次曲线的像，由仿射重构恢复欧氏重构。

This result is visualized and further compared with the results based on line segment and circular curve-line error models.

以三次B样条曲线为例，给出了其建模及可视化结果，进一步地将该结果与折线及圆曲线的情况进行了比较。

The cubic interpolation polynomial is got firstly in the given sub-range of the hydrophone's sensitivity-frequency curve by using the Akima curve smoothed algorithm, and the maximum of the polynomial is calculated in the sub-range by using the one dimension extreme value continued fraction algorithm, finally the frequency of the hydrophone is got.

频率测试是在灵敏度详细测试的基础上，采用阿克玛曲线光滑算法求出检波器幅频特性曲线在给定子区间上的三次插值多项式，再利用一维极值连分式法求出该区间上多项式的极值，从而求出检波器的频率值。

We decompose curvature signal with wavelet at first and then use its low frequency coefficients as new smooth curvature signal, which is used to construct a G^2 continuous piecewise rational cubic Bezier curve with (Geometric Hermite Interpolation, GHI) GHI method subsequently.

针对在逆向工程的实践中常见的轮廓线的光顺问题，给出了一种先对曲率图进行小波分解，提取其低频部分作为新的曲率图，并利用几何Hermite插值方法，生成G^2连续的分段三次有理Bézier曲线，从而重建出光顺的产品轮廓曲线的新方法。

By constructing local affine coordinate system , the geometric construction and properties of end vertices for rational cubic uniform B splines are studied.

给出了有理三次均匀 B样条曲线的几何形状修改法，使对该样条曲线的修改更加灵活、方便

This problem of planar parametric polynomial curve of degree 3 had been discussed perfectly many years ago, making use of invariant of affine transformation.

关于三次代数多项式参数曲线的这一问题早已解决，然而所用的几何不变量方法对于非代数曲线失效。

The quadratic patches is fixed,and its parametric representation method is gained.The cubic patches reduce to three local factors through reducing Bernstein coefficients to control shape of curve,two of them are used to join segments into G2- continuity approximating curves for given sequence data in space,and the other is used to adjust shape of segment.

先固定二次曲面片，并得到其参数形式，然后约简三次曲面片所对应的Bernstein系数，使之为带有三个形状调整的形状因子，其中两个分别代表曲线段端点处的曲率，另外一个作为形状的调整。

It offers the idea according to problem faced, considering the good character of the ends,the ajusted cubic B-spline curve is used to fit ship lines.it finds out the control vertexs according to a sequence of given points,and then, through particular formula,each point in the curve could be worked out.

针对面临的问题，提出了自己的思路，在数学计算方法上，由于三次准均匀B样条曲线良好的端部性质，这里用它来拟合船舶型线，首先根据所给的初步型值求出其控制顶点，然后根据相关公式进行插值便能得到曲线上的所有插值点。

As the cubic B-spline curves, each trigonometric polynomial curve segment was generated by four consecutive control points.

与三次B样条曲线类似。曲线的每一段由相继的4个控制顶点生成。

After analyzing of the reason of large deformation,the parametric cubic spline interpolation method was used for x, y, z respectively on Warps and wefts with accumulative bowstring length as parameter to fit the surface of mannequin.

分析了造成上述问题的曲线大挠度原因后，运用参数三次样条插值方法，采用累加玄长为参数，分别对人台经纬曲线的x、y、z进行插值计算，并拟合人台曲面。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。