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1.Firstly, the math theory used in the engine was described. For example, Matrix Transform, 3D Vector, Quaternion, secondly, introduced the development of Graphics Card and Programming API nowadays and their evolutions.
先介绍图形算法中常用的数学理论基础:矩阵变换,三维向量代数,四元数基础,随后介绍了图形硬件和图形应用编程接口的发展,并从应用角度分析了图形软硬件的发展趋势。收藏指正
2.The main contributions of the paper are:(1) Based on understanding permuted algorithms of the digital image and their properties, the specialties of Logistic map and truncated baker transform are combining. Because the image encryption algorithms based on matrix transform are not enough secret, the encryption algorithm combining truncated baker transform with Logistic map is presented, experiment of algorithm is done using computer and the results of simulation are analyzed.
本文的主要工作如下:(1) 在深刻理解了数字图像置乱技术及其性质基础之上,分析了截断面包师变换和Logistic混沌映射的特性,针对基于矩阵变换的图像加密算法保密性不高,改进了截断面包师变换对图像进行置乱加密的算法,进行了仿真实验,并对仿真结果进行分析;收藏指正
3.Karhunen-Loeve transform (KLT) is a well known method for dimensionality reduction, but it only preserves information about the inputs in the sense of minimizing the mean square error (MSE). A new compression matrix transform method is presented based on RKLT and MKLT. When it is used for high resolution radar range profile, it not only satisfies the minimization of MSE, but also improves the identification probability.
K -L变换 (KLT)是一种常用的数据压缩方法 ,但它只是按照均方误差 (MSE)最小的原则来保留信息 ,本文在相对KL变换 (RKLT)和多空间KL变换 (MKLT)的基础上给出了一种新的压缩变换矩阵形式 ,它不仅能够使均方误差达到最小 ,而且可以提高识别概率收藏指正
4.transform a matrix to a diagonal matrix.
把一个对角矩阵转化成对角矩阵收藏指正
5.The 2-state Gaussian mixture model is used to approximate the image wavelet coefficients margin distribution and the matrix of state transform can capture the dependencies of the wavelet coefficients across the scales, then in order to get the parameters of HMT ,EM method is used to train the HMT.
利用两状态高斯混合模型来描述层内小波系数的特性和状态转移矩阵描述小波系数在尺度间的相关性,然后运用EM算法对HMT模型进行训练得出模型的参数。收藏指正
6.For a linear time-invariant network,the coefficient matrix relating the Laplace transform of the response variables to the Laplace transform of the excitation variables is called the network parameter matrix, and its elements are called the network parameters.
对于一个线性时恒网络而言,联系激励变量和响应变量的拉氏变?Q的系数矩阵称为网络的参量矩阵,而矩阵的元素称为网络参量。收藏指正
7.The technique of matrix singular value and Arnold transform applying to digital image hiding
矩阵奇异值分解和Arnold置乱技术在图像隐藏中的应用收藏指正
8.Fast Walsh Transform into Form of Matrix
矩阵形式的快速沃尔什变换收藏指正
9.On the basis of analysing Gaussina elimination which uses coefficient matrix to do the elimination transform for seeking the answer of regular expression equation set, this paper proposes a sort of Gaussian main element elinination which selects the main element in coefficient natrix to do the elimination transform for seeking the answer of reguler expression equation set,and gives the easy-to-program algorithm.
在分析利用系数矩阵进行消元交换求解正则表达方程式集合高斯消去法基础上,提出了一种选取系数矩阵中主元素进行消元变换求解正则表达式方程式集合的高斯主元消去法,并给出易编程的算法。收藏指正
10.This paper first discusses the question of factorization of matrix W of the discrete Fourier transform and proves that the 2~n×2~n matrix W_N, obtained by appropriate reordering of the rows of W, can be factored into a product of n spare matrices (where every row has only two nonzero entries).
本文首先研究了离散傅里哀变换(DFT)的变换矩阵(简称为W矩阵)的分解问题,证明了N=2~n阶的W矩阵可以分解成n个稀疏矩阵(每行只有两个非零元素)的乘积。收藏指正
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