matrix transform
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.
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.
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.
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.

