奇异变换

Stationary wavelet transform ; singular value decomposition ; fault of inverter ; classification

平稳小波变换；奇异值分解；逆变器故障；分类

The advantages of ridgelet transform in processing the "Linear Singularity" were analyzed.

分析了脊波变换在处理含&线奇异&信号上的优势。

Based on the property of Ridgelet sparse representation to line singularities, a blind digital image watermarking algorithm is proposed.

利用脊波变换对直线状奇异特征的稀疏表示特性，提出了一种盲数字图像水印算法。

1B-4 is improper, not all functions are Laplace transformable

由于方程2-1B-4是奇异的，所以并非所有的函数的拉氏变换都存在。

In the last two chapters, this thesis first develops two quaternion-based color image filtering methods that are based on the quaternion rotation theory and quaternion unit transform, respectively, then analyzes the fulfillment algorithm of the QSVD (Quaternion Singular Value Decomposition) and its applications to color image processing, and expands the real number-valued PCA to quaternion-valued PCA.

在论文的最后二章，通过利用四元数旋转和色调抵消机制以及四元数单位变换来表达二个彩色像素的色调差异，提出了二个基于四元数理论的彩色图像滤波的新方法；并分析了四元数奇异值分解QSVD (Quaternion Singular Value Decomposition)的实现算法及其在彩色图像处理中的应用；同时将实数域上的主成份分析扩展到四元数域，形成了四元数版本的主成份分析QPCA (Quaternion Principal Component Analysis)。

Existence Result for Semipositone Second-Order Three-Point Boundary Value Problem

利用不动点指数结合平移变换的方法，研究了一类四阶奇异半正边值问题，得到了其C~2[0，1]∩C~4(0，1)正解存在的一个新结果。

Since geostationary satellite s orbit inclination is equal to zero approximately,it will result in the ambiguity of satellite s orbit ascending node and the singularity of the normal matrix in the process of fitting.

针对静止轨道卫星轨道倾角近似为0，致使卫星轨道的升交点定义模糊，在数据拟合过程中会导致法矩阵奇异的问题，提出对卫星轨道进行轨道倾角变换拟合广播星历参数的方法，并获得较高的拟合精度。

The second method is described through researching the Lipchitz index α and Gauss smooth factor σ to find the local maxima of a wavelet transform modulus.

二是用信号小波变换的奇异值检测法，对有效信号和噪声的李氏指数和模极大值进行了研究。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。