图像模型

In order to effectively abstract the texture and denoise but not damage the edge and other important details of image, Meyer (2001) proposed using elements of BV space and G space to characterize cartoon and details of image respectively. The authors present PDE of minimizing energy on the basis of Meyer's work, After the model is discretizated. projection algorithm and the method for ROF model are applied. Thus an image is decomposed into two parts, bounded variation component u and texture with noise υ.

为有效地提取纹理和去噪而不损坏图像的边缘及其他重要细节，Meyer(2001)提出了分别用BV空间和G空间刻画图像的主体和细节部分，笔者在Meyer的图像分解模型基础上，建立能量最小化PDE方程，将模型离散化后，利用投影算法和ROF模型的求解方法，将图像分解为有界变差部分u和包含纹理和噪声的部分υ。

Besides, as to inpainting problem in wavelet domain, we introduce a new iterative model. In this model low frequency and high frequency will carry on processing separately, enormous speed up the image repair convergence rate, and even if as high as 90% wavelet coefficient have been lost, this model will also be able to have the very good repair effect. In the old model, to compute the curvature we have to transform the coefficients to the pixel domain, and then transform back to the coefficient domain for several times and this method can solve this problem and speed up the iterative convergence.

其次针对小波域中图像修复的问题，本文提出了一种新的小波域图像修复模型，该模型根据小波变换后系数相关性的特点，将低频和高频分别进行处理，极大的加快了图像修复的收敛速度，并且即使丢失高达90%的小波系数，该模型也会有很好的修复效果，有效的解决了传统的TV- Wavelet模型在计算图像的平均曲率WCURV时，需要反复进行小波分解与重构的计算，迭代速度慢的问题。

Two steganography security definitions fitted for images are proposed from different points of view. One is in terms of the relative entropy based on the reversible de-correlation transform. The other is in terms of the conditional relative entropy using the markov random field model for images.

分别从两个不同的角度提出了新的适合图像载体的掩密安全性定义：基于可逆去相关变换的相对熵安全性定义和基于Markov图像模型的条件相对熵安全性定义，并分别以不同的图像模型对这两个定义进行了讨论。

As a consequence, based on the water system denseness method and the tectonic d...

论文在分析地应力及地应力场特征和规律基础上，论述了地应力场主要组成部分；较系统地阐述了粗集理论的主要内容，应用粗集理论计算各因素对地应力场的影响，并提出基于粗集理论计算权重的方法；解释了图像滤波使图像边界模糊的原因，提出基于粗集理论的图像滤波方法；研究TM图像各波段的信息特征、最佳波段组合及各波段赋色；剖析构造形迹在反推构造应力场中作用，建立断裂构造形成时的构造力学模型；利用遥感资料解译了与新构造应力场密切相关的水系，在GIS支持下，应用水系密集度方法和构造力学模型计算了新构造应力场的方向与大小；分析了地形起伏对重力场的影响，并建立了相应的数学模型；研究了地应力在矿山巷道及开采设计中的应用。

In image processing, no matter image modeling, representation of image contents, description of image feature,design of image processing operator, or energy functional minimization of image optimization procedure, all can be upgraded to a mathematic problem.

在图像处理中，无论是图像模型的建立，图像特征的描述，图像处理算子的设计，还是图像优化处理中的泛函极小化，最终都可归结为一个数学理论问题。

In order to effectively Abstract the texture and denoise but not damage the edge and other important details of image,Meyer(2001) proposed using elements of BV space and G space to characterize cartoon and details of image respectively.The authors present PDE of minimizing energy on the basis of Meyer s work.

为有效地提取纹理和去噪而不损坏图像的边缘及其他重要细节，Meyer(2001)提出了分别用BV空间和G空间刻画图像的主体和细节部分，笔者在Meyer的图像分解模型基础上，建立能量最小化PDE方程，将模型离散化后，利用投影算法和ROF模型的求解方法，将图像分解为有界变差部分u和包含纹理和噪声的部分v。

We first reformulate the degraded image model as a non-symmetric half plane 2D-ARMA model.

我们先将退化图像模型重建为一个在非对称半平面上2D-ARMA模型。

It, thereby, results in imaging degrading, and engenders blurring imaging. The paper analyses a real process about image blurred as a result of object motion, reveals an intrinsical cause about image-degraded owing to object motion, and establishes blurring-model by which one dimension and two dimensions uniform velocity rectilinear motion result in image blurred abide.

为了有效地恢复运动模糊图像，从像素运动的角度分析了因运动造成的图像模糊的实际过程，并首先揭示了运动造成图像降质的内在原因，然后根据模糊图像像素间的关系建立了一维和二维由匀速直线运动所造成的模糊图像的模糊模型，并依据图像降质过程的逆过程推导出恢复模型。

We mainly discuss three types of inpainting models: the Bayesian model, geometric models and PDE models with emphasis on investigating TV inpainting, elastica inpainting and Mumford- Shah inpainting of PDE models. After studying the level set method and its applications to image processing, we concentrate on discussing the inpainting model...

在介绍水平集法及其在图像处理方面的应用之后，进一步深入地讨论了一类图像修复的变分模型—Mumford-Shah-Euler模型，在此基础上利用水平集法，提出MSE模型的数值逼近的算法格式，并对一些具体的图像修复问题开展数值模拟和修复，深入分析了MSE模型及水平集法在图像修复中的优缺点，这些结果在理论和实际应用中都很有意义。

Third, it has a discussion on the development of modern and traditional artificial neural network technology and their application in image processing. It summaries that the model of the Pulse-coupled neural network based on Elkhorn's model of the cat visual cortex was constructed according to the mammalian vision systems. The nonlinear modulation property, which is a generic and pervasive biological pulse-coupling mechanism, is used in the construction of PCNN. So, PCNN finds many applications in image processing, including segmentation, edge extraction et al. As all known, the performance of the image segmentation depends not only directly on the adjustment of PCNN parameters and the statistical properties of image but also on the cyclic iteration times N of PCNN. If the parameters have been properly set, it turns out to be essential to select a suitable criterion to determine N.

回顾了神经网络技术的现状，指出传统人工神经网络只利用了生物神经元有限的属性进行模型构建，而90年代产生的脉冲耦合神经网络充分利用了哺乳动物视神经网络特有属性，其神经元模型除了考虑生物神经元特有的线性相加、兴奋与抑制属性外，还考虑到生物神经元特有的非线性相乘调制耦合特性；考虑了哺乳动物视神经系统视野受到适当刺激时，相邻连接神经元同步激发产生35Hz～70Hz振荡脉冲串特性等，所以PCNN网络模型更靠近真实生物视觉特性，特别是哺乳动物视神经网络，特别适合计算机图像处理应用，尤其在生物细胞图像分割、图像平滑、降噪及图像中目标的分类、计数等方面的研究。

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。