双线性变换

Based on a bilinear transformation in multidimensional spaces, a neural-network based nonlinear analog fault diagnostic system for actual circuits is proposed.

本文提出了一种基于电路双线性函数在多维空间的变换与神经网络相结合的非线性模拟电路故障诊断新方法。

Then, the bilinear spatial transformation equations are solved according to the mapping between the four vertices of a distorted plate image and its normalized vertices, so as to correct the distorted plate image.

然后，根据畸变牌照的4个顶点和归一化汽车牌照图像的4个顶点之间的一一对应关系，求解双线性空间变换方程，进而对畸变图像进行校正。

In this paper, based on variational principle and bilinear coordinate transformation, a spline Kantorovich method using cubic B-spline function is presented to obtain an approximate solution for the free vibration problem of arbitrary quadrilateral plates with various boundary conditions.

本文从变分原理和双线性坐标变换出发，采用基于三次B样条的康托洛维奇法得到了带有各种边界条件任意四边形板自由振动的近似解答。

The quadrature formula about surface integral on any quadrilateral element is deduced by means of isoparametric transformation and bilinear interpolation.

通过对三维有界区域的边界曲面作四边形网格剖分，用有限元方法处理高斯公式中的曲面积分，由等参变换及双线性插值导出任意四边形单元上曲面积分的数值求积公式。

Chapter 3 introduces some methods seeking exact solutions for the nonlinear evolution equation, such as inverse scattering method, symmetry reduction method, Backlund transformation, Darboux transformation , Hirota bilinear method, Painleve analysis method, AC = BD model, and so on.

第三章简要介绍了非线性发展方程的若干求解方法，如反散射方法，对称与微分方程约化，Backlund变换和Darboux变换方法，Hirota双线性方法，Painleve奇性分析法，AC=BD框架下的精确求解等。

Cklund transfo- rmation、Inverse scattering method、Darboux transformation、Hirota bilinear method、similarity reduction eta.

cklund变换法、反演散射方法、达布变换法、Hirota双线性方法、相似约化法等。

It provides better visual effect than bilinear interpolation when they are used in digital image processing,but its performance is lower.

它和双线性插值相比具有更好的图像变换效果，但计算性能较低。

Plentiful and substantial achievements have been made, which motivate a lot of methods to obtain the exact solutions of solitary wave equations, such as: the homogeneous balance method, the hyperbolic function method, the power series method, besides the traditional methods, such as: the inverse scatting method, the bilinear Hirota method, and the Backlund transformation method etc.

求解孤立波方程精确解的方法除了传统的反散射方法、Hirota双线性方法、Backlünd变换方法外，近年来又涌现了很多新方法，如齐次平衡法、双曲正切法，级数展开法等。

The ground-state energy and the average number of virtual phonons around the electron of a hydrogenic impurity confined in a parabolic quantum dot are calculated using the squeezed-state variational approach,which is based on two successive canonical transformations and uses a displaced-oscillator type unitary transformation to deal with the bilinear terms,which are usually neglected.

李伟萍 内蒙古赤峰学院物理与电子信息工程系，赤峰 024000肖景林内蒙古民族大学物理与电子信息学院，通辽 028043采用基于逐次正则变换的变分方法，利用单模压缩态变换处理包含声子产生湮灭算符的双线性项，研究了抛物量子点中束缚极化子的性质。

Yanowitz algorithm which interpolates the image grey by gradient imformation. Then it can get water meter frame information by horizontal and vertical projection, and extract line by improved Hough transform. Finally, the image can be corrected by affine transform.

Yanowitz算法，能够很好的分割目标和背景；再利用水平和竖直投影提取水表表框信息；然后再利用改进的Hough变换提取表框范围内直线，对结果进行统计分析，求出水表的倾斜角度；最后采用逆仿射变换的方法，对表框图像进行双线性插值旋转，得到表框的矫正图像。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新