查询词典 bilinear transformation

By remove the outer corner, it can get the best transformation matrix. Finally, the thesis use backward mapping and bilinear interpolation function to execute interpolation calculation in image merge. And then it use overlapped area linear transition method to build a seamless integrated image.

最后通过使用后向映射和双线性插值法在图像合并过程中进行插值运算，并使用重叠区域线性过渡算法来消除图像拼接缝，实现图像之间的无缝拼接。

In order to preserve the basic information of low resolution images and to improve their visual effect and space resolution,a novel image zooming algorithm is proposed by using bilinear interpolation and wavelet transformation based on an error-amended sharp edge scheme.

为了尽可能地保持低分辨率图像的基本信息，提高图像的视觉效果和空间分辨率，本文提出一种基于小波的双线性插值误差补偿算法。

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。

In chapter I, we introduce the Jordan-Wigner transformation in detail, and illustrate its applications with three examples: the one-dimensional S = 1 XXZ model; the bilinear-biquadratic SU(2) invariant S = 1 chain; and the ionic Hubbard chain in the strong coupling limit. In chapter II, we review the S = 1/2 transverse Ising chain in detail.

在变换后发现隐藏在自旋为1的系统里自旋为1/2的SU(2)对称性及广义的U(1)规范对称性；(3)通过将推广的强耦合极限下的一维离子型Hubbard 模型变换为SU(3)反铁磁Heisenberg 模型，严格论证了离子型Hubbard 模型从能带绝缘体到莫特绝缘体的转变区域中自发二聚化绝缘体铁电性相即键序波相的存在。

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。

N-soliton solutions is constructed in the terms of Wronskian and is verified by direct substitution to satisfy the bilinear equation and the associated B〓cklund transformation respectively.

得到了该方程的双线性形式以及B〓cklund变换的双线性形式及普通形式；构造了该方程Wronskian形式下的孤子解，并从双线性方程和双线性B〓cklund变换两个角度对解进行了直接验证。

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