hermite矩阵的英文
hermitian matrix
- 矩阵: matrix; array
- hermite: 埃尔米特; 艾米插值; 米特
- hermite is: 赫米特群岛
例句与用法
- But , though considerable process has been made in the last ten years , digital watermarking is still in its infancy , and much interesting work remains to be done this thesis addresses some problems in the gray - scale image digital watermarking that are summarized below : 1 ) whereas the basic theory of digital watermarking is still very poor , a digital watermarking mathematic model based on imperceptibility and robustness is presented by analysising the characteristic of digital watermarking ; 2 ) based on the model constructed above , by defining the measures of capacity and robustness of digital watermarking , an objective method for evaluating the digital watermarking is introduced and used to analysis some algorithms ; 3 ) whereas geometric distortion always influences the restoration of watermark , we advocate to enhance the robustness against geometric distortion by restoring the image which has been distorted by geometric transformation , and a method is designed for estimating the parameters of geometric transformation ; 4 ) based on the conclusion discussed above , and combined with the masking effects of hvs , a novel public meaningful gray - scale image digital watermarking is designed by analysising the characteristics of image gray - scale interpolation and haar wavelet transformation . the experimental results show that the method is indeed powerful ; 5 ) whereas many image digital watermarking schemes , which embed watermark by modifying the values of pixels in spatial domain and transformed domain , are confronted with the conflict between the imperceptibility and robustness , we advocated to use some stable digital characteristics of host image as watermark and a algorithm based on hermite matrix is designed
本文重点对灰度图象数字水印技术进行研究，主要工作如下： 1 )鉴于目前数字水印的理论研究比较薄弱的现状，本文通过分析数字水印的特点，建立了一个数字水印的数学模型，为进一步研究数字水印打下了基础； 2 )根据以上建立的模型，通过引入容量和稳健度的概念为数字水印提供了一个客观评价方法，并对一些数字水印算法进行了分析； 3 )为增强数字水印抵抗几何攻击的能力，研究了受几何攻击的图象的复原问题，并给出了一个计算图象几何变换参数的方法； 4 )通过分析图象灰度插值算法和haar小波变换的特点，结合hvs的掩蔽效应，设计了一个公开的有意义数字水印算法，实验结果表明本算法具有较强的稳健性； 5 )目前许多水印算法都是通过在空域或频域修改象素值的方法嵌入水印的，这种方法面临着透明性和稳健性的矛盾，为解决这个矛盾，本文提出以图象的某些稳定的数字特征为水印的观点，并结合hermite矩阵的特点设计了相应的水印算法，实验结果表明该算法具有较好的稳健性。 - In mmse based detection algorithms it ’ s inevitable to do the matrix inversion operation , and we have found by analysis that such matrices are all positive definition hermite matrices . so , in chapter three , by renumbers the looped variables we induce a new matrix inversion algorithm and based on the symmetry of the data we further
由于基于mmse的检测算法中会不可避免地遇到矩阵求逆运算,经过分析发现此类矩阵均为正定hermite矩阵,根据此类矩阵的特点引入了变量循环重新编号法求逆算法,并且根据运算过程中数据的对称性提出了进一步的简化方案。 - In chapter 2 , we give some important properties of metapositive definite matrices , the expression of real and imaginary part about eigenvalues of real square matrices as well as the range of eigenvalues of real square matrices ( especially the range of their imaginary part ) . on the other hand , we sum up , establish and extend some necessary and sufficient conditions of metapositive definite matrices roundly . in chapter 3 , we give some important properties of complex positive definite matrices , the expression of real and imaginary part about eigenvalues of complex square matrices as well as the range of eigenvalues of complex square matrices . on the other hand , we sum up , establish and extend some necessary and sufficient conditions of complex positive definite matrices roundly . in summary , we discuss in terms of set theory the relation among real symmetric positive definite matrices , hermitian positive definite matrices and two types of generalized positive definite matrices - metapositive definite matrices and complex positive definite matrices
第一章：除引入hermite矩阵、 hermite正定矩阵和实对称正定矩阵较重要的性质外，还建立了它们的其它一些重要性质，尤其较全面地总结和建立了它们的若干充分和必要条件；第二章：建立了亚正定阵的一些重要性质，给出了实方阵的特征值实部和虚部的表达式，并导出了实方阵的特征值范围尤其是导出了其虚部范围，同时着重较全面地总结、建立和推广了亚正定阵的若干充分和必要条件；第三章：建立了复正定矩阵的一些重要性质，给出了复方阵的特征值实部和虚部的表达式，并导出了复方阵的特征值范围，同时着重较全面地总结、建立和推广了复正定矩阵的若干充分和必要条件；全文小结：从集合论的观点出发，对已讨论过的四类正定矩阵? ?实对称正定矩阵、 hermite正定矩阵、亚正定矩阵和复正定矩阵之间的关系作了比较细致的论证与探讨。
